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Search Results (153)

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19 pages, 706 KiB  
Article
Robust Optimization Models for Planning Drone Swarm Missions
by Robert Panowicz and Wojciech Stecz
Drones 2024, 8(10), 572; https://doi.org/10.3390/drones8100572 - 11 Oct 2024
Viewed by 847
Abstract
This article presents methods of planning unmanned aerial vehicle (UAV) missions in which individual platforms work together during the reconnaissance of objects located within a terrain. The planning problem concerns determining the flight routes of a swarm, where each UAV has the ability [...] Read more.
This article presents methods of planning unmanned aerial vehicle (UAV) missions in which individual platforms work together during the reconnaissance of objects located within a terrain. The planning problem concerns determining the flight routes of a swarm, where each UAV has the ability to recognize an object using a specific type of sensor. The experiments described in this article were carried out for drone formation; one drone works as a swarm information hub and exchanges information with the ground control station (GCS). Numerical models for mission planning are presented, which take into account the important constraints, simplifying the description of the mission without too much risk of losing the platforms. Several types of objective functions were used to optimize swarm flight paths. The mission models are presented in the form of mixed integer linear programming problems (MILPs). The experiments were carried out on a terrain model built on the basis of graph and network theory. The method of building a network on which the route plan of a drone swarm is determined is precisely presented. Particular attention was paid to the description of ways to minimize the size of the network on which the swarm mission is planned. The presented methods for building a terrain model allow for solving the optimization problem using integer programming tasks. Full article
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<p>Network model <span class="html-italic">S</span>, as presented in [<a href="#B20-drones-08-00572" class="html-bibr">20</a>]. Two regions are visible for the UAV to recognize. These regions are colored brown. The route segments and waypoints, <span class="html-italic">w</span>, are drawn as blue arrows. Symbols <span class="html-italic">j</span> and <span class="html-italic">k</span> are indices of the vertices.</p>
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<p>The network with vertices aggregating UAV activities during object recognition. The figure on the left shows the possible paths between the vertices modeling objects recognized during the mission. The use of the RRT algorithm presented in [<a href="#B22-drones-08-00572" class="html-bibr">22</a>] allows for determining the admissibility of flying between individual vertices. The figure on the right shows the remaining arcs of the <span class="html-italic">S</span> network, which, after applying the RRT algorithm, ensure the ability to recognize objects. The vertices of the network <span class="html-italic">S</span> marked with circles remain in the network structure after the aggregation process. The vertices marked with crosses are removed. In some cases, after vertex aggregation, a network arc will be removed. This applies to the case when there is a time window of the VRPTW task in the optimization problem that does not let the UAV to fly between vertices due to the distance of these vertices.</p>
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<p>A method of aggregating network vertices that are located close to each other and model sites that model activities on the same payload elements. The vertices enclosed in blue oval are aggregated according to the algorithm presented in [<a href="#B22-drones-08-00572" class="html-bibr">22</a>].</p>
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<p>The route plan for a swarm with three UAVs calculated on net <span class="html-italic">S</span> with 10 vertices using model I (maximization of the profit). The figure shows the routes of all UAVs. The route of each UAV is marked with a different color. The path of the information hub UAV is marked with a dashed green line. The vertices of the <span class="html-italic">S</span> network with the highest priorities are marked in red.</p>
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<p>The route plan for a swarm with three UAVs calculated on net <span class="html-italic">S</span> with 20 vertices using model II (minimization of the total route length and maximizing the total profit). The route of each UAV is marked in a different color. The vertices of the S network with the highest priorities are marked in red and the others in pink.</p>
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<p>The route plan for a swarm (four UAVs, net <span class="html-italic">S</span>, 30 vertices, and model I). The route of each UAV is marked in a different color. The vertices of the S network with the highest priorities are marked in red and the others in pink.</p>
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<p>The route plan for a swarm with four UAVs calculated on net <span class="html-italic">S</span> with 30 vertices using model II. The vertices of the S network with the highest priorities are marked in red and the others in pink.</p>
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<p>The route plan for a swarm (three UAVs, net <span class="html-italic">S</span>, 30 vertices, and model III). The path of the retranslator is marked with a dashed green line. The route of each UAV is marked in a different color. The vertices of the S network with the highest priorities are marked in red and the others in pink.</p>
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<p>The route plan for a swarm (three UAVs, net <span class="html-italic">S</span>, 20 vertices, and model IV). The path is presented in 3D. The route of each UAV is marked in a different color. The vertices of the S network with the highest priorities are marked in red and the others in pink.</p>
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<p>Convergence of the swarm route planning algorithm for 30 nodes of the <span class="html-italic">S</span> network and four UAVs (blue dashed line). Relative MIP gap tolerance is set to 15%. The processing time is shown on the horizontal axis. The blue squares represent the best integer solution found by CPLEX. The optimization function is presented in Equation (<a href="#FD25-drones-08-00572" class="html-disp-formula">25</a>).</p>
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27 pages, 466 KiB  
Article
Open Competency Optimization: A Human-Inspired Optimizer for the Dynamic Vehicle-Routing Problem
by Rim Ben Jelloun, Khalid Jebari and Abdelaziz El Moujahid
Algorithms 2024, 17(10), 449; https://doi.org/10.3390/a17100449 - 9 Oct 2024
Viewed by 453
Abstract
The vehicle-routing problem (VRP) is a popular area of research. This popularity springs from its wide application in many real-world problems, such as logistics, network routing, E-commerce, and various other fields. The VRP is simple to formulate, but very difficult to solve and [...] Read more.
The vehicle-routing problem (VRP) is a popular area of research. This popularity springs from its wide application in many real-world problems, such as logistics, network routing, E-commerce, and various other fields. The VRP is simple to formulate, but very difficult to solve and requires a great deal of time. In these cases, researchers use approximate solutions offered by metaheuristics. This work involved the design of a new metaheuristic called Open Competency Optimization (OCO), which was inspired by human behavior during the learning process and based on the competency approach. The aim is the construction of solutions that represent learners’ ideas in the context of an open problem. The candidate solutions in OCO evolve over three steps. Concerning the first step, each learner builds a path of learning (finding the solution to the problem) through self-learning, which depends on their abilities. In the second step, each learner responds positively to the best ideas in their group (the construction of each group is based on the competency of the learners or the neighbor principle). In the last step, the learners interact with the best one in the group and with the leader. For the sake of proving the relevance of the proposed algorithm, OCO was tested in dynamic vehicle-routing problems along with the Generalized Dynamic Benchmark Generator (GDBG). Full article
(This article belongs to the Section Combinatorial Optimization, Graph, and Network Algorithms)
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<p>The VRP for serving 9 customers on 3 tours.</p>
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<p>The VRP with dynamically planned routes and customers.</p>
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<p>Flowchart of the proposed algorithm (OCO).</p>
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<p>Variations in <math display="inline"><semantics> <mi>α</mi> </semantics></math> and <math display="inline"><semantics> <mi>β</mi> </semantics></math> over generations.</p>
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<p>Comparison of the diversity of OCO with that of four other algorithms.</p>
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4 pages, 1178 KiB  
Proceeding Paper
ALLIEVI as a Tool for Simulating Hydraulic Transients in Energy Recovery Systems
by Roberto del Teso, Elena Gómez, Elvira Estruch-Juan and Javier Soriano
Eng. Proc. 2024, 69(1), 131; https://doi.org/10.3390/engproc2024069131 - 12 Sep 2024
Viewed by 273
Abstract
ALLIEVI is a software developed by the Universitat Politècnica de València to model and analyze hydraulic transients in pressurized water systems. ALLIEVI allows for the modeling of valve and pump maneuvers, including pressure reducing valves (VRPs) and energy recovery elements such as turbines [...] Read more.
ALLIEVI is a software developed by the Universitat Politècnica de València to model and analyze hydraulic transients in pressurized water systems. ALLIEVI allows for the modeling of valve and pump maneuvers, including pressure reducing valves (VRPs) and energy recovery elements such as turbines and pumps operating as turbines (PATs). In this work, two practical cases are presented in which ALLIEVI is used as a tool, either to adjust the energy recovery potential of a system or to calculate the hydraulic transient generated by maneuvers of an energy recovery system. Full article
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<p>Allievi’s model of the water supply system.</p>
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<p>Installation of the PAT in parallel with the VRP.</p>
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<p>Allievi model in pumping mode (<b>left</b>) and in turbine mode (<b>right</b>).</p>
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<p>Envelope of piezometric heights after pump shutdown (<b>left</b>) and after abrupt turbine disconnection (<b>right</b>).</p>
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28 pages, 5486 KiB  
Article
Dynamic Scheduling Optimization of Automatic Guide Vehicle for Terminal Delivery under Uncertain Conditions
by Qianqian Shao, Jiawei Miao, Penghui Liao and Tao Liu
Appl. Sci. 2024, 14(18), 8101; https://doi.org/10.3390/app14188101 - 10 Sep 2024
Viewed by 745
Abstract
As an important part of urban terminal delivery, automated guided vehicles (AGVs) have been widely used in the field of takeout delivery. Due to the real-time generation of takeout orders, the delivery system is required to be extremely dynamic, so the AGV needs [...] Read more.
As an important part of urban terminal delivery, automated guided vehicles (AGVs) have been widely used in the field of takeout delivery. Due to the real-time generation of takeout orders, the delivery system is required to be extremely dynamic, so the AGV needs to be dynamically scheduled. At the same time, the uncertainty in the delivery process (such as the meal preparation time) further increases the complexity and difficulty of AGV scheduling. Considering the influence of these two factors, the method of embedding a stochastic programming model into a rolling mechanism is adopted to optimize the AGV delivery routing. Specifically, to handle real-time orders under dynamic demand, an optimization mechanism based on a rolling scheduling framework is proposed, which allows the AGV’s route to be continuously updated. Unlike most VRP models, an open chain structure is used to describe the dynamic delivery path of AGVs. In order to deal with the impact of uncertain meal preparation time on route planning, a stochastic programming model is formulated with the purpose of minimizing the expected order timeout rate and the total customer waiting time. In addition, an effective path merging strategy and after-effects strategy are also considered in the model. In order to solve the proposed mathematical programming model, a multi-objective optimization algorithm based on a NSGA-III framework is developed. Finally, a series of experimental results demonstrate the effectiveness and superiority of the proposed model and algorithm. Full article
(This article belongs to the Section Transportation and Future Mobility)
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<p>The order dispatching process.</p>
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<p>Rolling pick-up and delivery path sequence and routing combination.</p>
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<p>Comparison of expected delivery time and actual delivery time.</p>
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<p>Rolling pick-up and delivery path considering routing combination.</p>
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<p>Changes in the number of orders and nodes to be delivered.</p>
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<p>Algorithm flow chart.</p>
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<p>Decoding structure and insertion restriction rules.</p>
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<p>Order-based crossover, OBX.</p>
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<p>Experimental results. (<b>a</b>) Total customer waiting time; (<b>b</b>) Order timeout rate.</p>
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<p>Experimental result (total customer waiting time).</p>
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<p>Change in the number of remaining unfinished orders.</p>
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<p>Superiority comparison of order combination mode.</p>
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<p>Superiority comparison of look-forward process.</p>
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22 pages, 7384 KiB  
Article
A Swap-Body Vehicle Routing Problem Considering Fuel Consumption Management and Multiple Vehicle Trips
by Yong Peng, Yali Zhang, Dennis Z. Yu, Song Liu, Yuanjun Li and Yangyan Shi
Future Transp. 2024, 4(3), 1000-1021; https://doi.org/10.3390/futuretransp4030048 - 4 Sep 2024
Viewed by 892
Abstract
The swap-body vehicle routing problem (SBVRP) represents a specialized extension of the traditional vehicle routing problem (VRP), incorporating additional practical complexities. Effective fuel consumption management and the scheduling of multiple vehicle trips are pivotal strategies for reducing costs and ensuring the sustainability of [...] Read more.
The swap-body vehicle routing problem (SBVRP) represents a specialized extension of the traditional vehicle routing problem (VRP), incorporating additional practical complexities. Effective fuel consumption management and the scheduling of multiple vehicle trips are pivotal strategies for reducing costs and ensuring the sustainability of distribution systems. In response to the acceleration of urbanization, the rising demand for logistics, and the deteriorating living environment, we introduce an SBVRP considering fuel consumption and multiple trips to enable greener, cheaper, and more efficient delivery methods. To tackle the SBVRP, we propose a hybrid multi-population genetic algorithm enhanced with local search techniques to explore various areas of the search space. Computational experiments demonstrate the efficiency of the proposed method and the effectiveness of its components. The algorithm developed in this study provides an optimized solution to the VRP, focusing on achieving environmentally friendly, sustainable, and cost-effective transportation by reducing energy consumption and promoting the rational use of resources. Full article
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<p>Framework of SBVRP-FMT optimization.</p>
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<p>An example solution of the SBVRP-FMT.</p>
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<p>The framework of the HMGA.</p>
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<p>Pseudo-routes are obtained by separating individuals.</p>
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<p>Pseudo-routes with feasible vehicle loading.</p>
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<p>Process of identifying swap routes.</p>
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<p>Reordering customers on swap routes.</p>
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<p>Pseudo-solution after setting swap locations.</p>
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<p>Crossover and mutation operations.</p>
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<p>Multi-population evolution strategy.</p>
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<p>Schematic diagram of local search.</p>
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<p>Average iterations and running time of different algorithmic versions.</p>
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<p>Solution values of different algorithmic versions.</p>
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<p>Best solutions of GA and HMGA.</p>
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24 pages, 3063 KiB  
Review
Advancing Circular Buildings: A Review of Building Strategies for AEC Stakeholders
by Mohana Motiei, Usha Iyer-Raniga, Mary Myla Andamon and Ania Khodabakhshian
Buildings 2024, 14(9), 2594; https://doi.org/10.3390/buildings14092594 - 23 Aug 2024
Cited by 2 | Viewed by 893
Abstract
The uptake of a circular economy (CE) in the building sector is challenging, primarily due to the complexity associated with the design process and the dynamic interaction among architects, engineers, and construction (AEC) stakeholders. The standard and typical design process and construction methods [...] Read more.
The uptake of a circular economy (CE) in the building sector is challenging, primarily due to the complexity associated with the design process and the dynamic interaction among architects, engineers, and construction (AEC) stakeholders. The standard and typical design process and construction methods raise concerns about building life cycles. Buildings should not only fulfill current needs, but one also needs to consider how they will function in the future and throughout their lifetime. To address these complexities, early planning is required to guide designers in holistically applying systems thinking to deliver CE outcomes. This paper outlines a critical review of CE implementation in buildings, with a proposed trifecta of approaches that significantly contribute to the development of circular buildings (CBs). The findings outline a proposed visualized framework with a conceptual formula that integrates CE design strategies to simplify and enhance AEC stakeholders’ perception of the circularity sequence in buildings. By strategically integrating loop-based strategies with the value retention process (VRP) and design for X (DFX) strategies, along with efficient assessment tools and technologies, it becomes feasible to embrace a CE during the design phase. The outcome of this review informs AEC stakeholders to systematically and strategically integrate the critical dimensions of a CE throughout the building life cycle, striking a balance between environmental concern, economic value, and future needs. Full article
(This article belongs to the Collection Sustainable Buildings in the Built Environment)
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<p>Flow chart with a summary of research design approach.</p>
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<p>Year distribution for the CB-related articles.</p>
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<p>Country distribution in published articles.</p>
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<p>Co-occurrence terms and highly used keywords.</p>
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<p>Circular building = circular economy + buildings.</p>
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<p>Key approaches to CB development.</p>
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<p>Visualized framework of design strategies towards CB development.</p>
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19 pages, 3769 KiB  
Article
Solving the Vehicle Routing Problem with Stochastic Travel Cost Using Deep Reinforcement Learning
by Hao Cai, Peng Xu, Xifeng Tang and Gan Lin
Electronics 2024, 13(16), 3242; https://doi.org/10.3390/electronics13163242 - 15 Aug 2024
Viewed by 974
Abstract
The Vehicle Routing Problem (VRP) is a classic combinatorial optimization problem commonly encountered in the fields of transportation and logistics. This paper focuses on a variant of the VRP, namely the Vehicle Routing Problem with Stochastic Travel Cost (VRP-STC). In VRP-STC, the introduction [...] Read more.
The Vehicle Routing Problem (VRP) is a classic combinatorial optimization problem commonly encountered in the fields of transportation and logistics. This paper focuses on a variant of the VRP, namely the Vehicle Routing Problem with Stochastic Travel Cost (VRP-STC). In VRP-STC, the introduction of stochastic travel costs increases the complexity of the problem, rendering traditional algorithms unsuitable for solving it. In this paper, the GAT-AM model combining Graph Attention Networks (GAT) and multi-head Attention Mechanism (AM) is employed. The GAT-AM model uses an encoder–decoder architecture and employs a deep reinforcement learning algorithm. The GAT in the encoder learns feature representations of nodes in different subspaces, while the decoder uses multi-head AM to construct policies through both greedy and sampling decoding methods. This increases solution diversity, thereby finding high-quality solutions. The REINFORCE with Rollout Baseline algorithm is used to train the learnable parameters within the neural network. Test results show that the advantages of GAT-AM become greater as problem complexity increases, with the optimal solution generally unattainable through traditional algorithms within an acceptable timeframe. Full article
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<p>GAT-AM model diagram.</p>
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<p>(<b>a</b>): The AM <math display="inline"><semantics> <mrow> <mi>a</mi> <mo stretchy="false">(</mo> <mi>W</mi> <msub> <mover accent="true"> <mi>x</mi> <mo>→</mo> </mover> <mi>i</mi> </msub> <mo>,</mo> <mi>W</mi> <msub> <mover accent="true"> <mi>x</mi> <mo>→</mo> </mover> <mi>j</mi> </msub> <mo stretchy="false">)</mo> </mrow> </semantics></math> employed by our model, employing a <span class="html-italic">LeakyReLU</span> activation. (<b>b</b>): An illustration of multi-head attention (with K = 3 heads) by node 1 on its neighborhood. Different arrow styles and colors denote independent attention computations.</p>
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<p>The refined GAT encoder undergoes a feature extraction process following transformation.</p>
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<p>Utilizing multi-head attention mechanisms, the decoder for VRP and VRP-STC problems processes both graph and node embeddings as inputs. At each time step <span class="html-italic">t</span>, the context includes the graph embeddings, the embeddings of the first and last (previously output) nodes of the partial solution, and the embedding representing the remaining capacity at the depot. Nodes that have already been visited are masked to prevent re-access. As both the start and end points are depot nodes, this example illustrates how to construct a solution <b><span class="html-italic">π</span></b> = (0, 3, 2, 1, 4, 0).</p>
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<p>GAT-AM model training process diagram.</p>
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<p>Comparison of convergence performance for VRP at different node scales.</p>
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<p>Comparison of convergence performance for VRP-STC at different node scales.</p>
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<p>Comparison of convergence performance for VRP-STC at different node scales.</p>
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<p>The experimental results for the Vehicle Routing Problem (VRP) with different node sizes.</p>
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<p>The experimental results for the VRP-STC with different node sizes.</p>
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34 pages, 10704 KiB  
Article
An Improved Ant Colony Algorithm with Deep Reinforcement Learning for the Robust Multiobjective AGV Routing Problem in Assembly Workshops
by Yong Chen, Mingyu Chen, Feiyang Yu, Han Lin and Wenchao Yi
Appl. Sci. 2024, 14(16), 7135; https://doi.org/10.3390/app14167135 - 14 Aug 2024
Viewed by 901
Abstract
Vehicle routing problems (VRPs) are challenging problems. Many variants of the VRP have been proposed. However, few studies on VRP have combined robustness and just-in-time (JIT) requirements with uncertainty. To solve the problem, this paper proposes the just-in-time-based robust multiobjective vehicle routing problem [...] Read more.
Vehicle routing problems (VRPs) are challenging problems. Many variants of the VRP have been proposed. However, few studies on VRP have combined robustness and just-in-time (JIT) requirements with uncertainty. To solve the problem, this paper proposes the just-in-time-based robust multiobjective vehicle routing problem with time windows (JIT-RMOVRPTW) for the assembly workshop. Based on the conflict between uncertain time and JIT requirements, a JIT strategy was proposed. To measure the robustness of the solution, a metric was designed as the objective. Afterwards, a two-stage nondominated sorting ant colony algorithm with deep reinforcement learning (NSACOWDRL) was proposed. In stage I, ACO combines with NSGA-III to obtain the Pareto frontier. Based on the model, a pheromone update strategy and a transfer probability formula were designed. DDQN was introduced as a local search algorithm which trains networks through Pareto solutions to participate in probabilistic selection and nondominated sorting. In stage II, the Pareto frontier was quantified in feasibility by Monte Carlo simulation, and tested by diversity-robust selection based on uniformly distributed weights in the solution space to select robust Pareto solutions that take diversity into account. The effectiveness of NSACOWDRL was demonstrated through comparative experiments with other algorithms on instances. The impact of JIT strategy is analyzed and the effect of networks on the NSACOWDRL is further discussed. Full article
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<p>JIT time setting.</p>
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<p>The optimization process of the NSACOWDRL.</p>
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<p>Framework of the NSACOWDRL.</p>
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<p>Hyperplane and reference points.</p>
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<p>Construction of the hyperplane.</p>
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<p>Construction of the network.</p>
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<p>The structure of the DDQN.</p>
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<p>Uniformly distributed weights in the solution space.</p>
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<p>Pareto solutions.</p>
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<p>Material information dataset routing.</p>
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<p><span class="html-italic">p</span> value heatmap of c202.</p>
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<p><span class="html-italic">p</span> value heatmap of c206.</p>
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<p><span class="html-italic">p</span> value heatmap of rc202.</p>
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<p><span class="html-italic">p</span> value heatmap of rc204.</p>
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<p><span class="html-italic">p</span> value heatmap of the real case.</p>
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<p><span class="html-italic">p</span> value heatmap of networks.</p>
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<p>The set of Pareto solutions in PF obtained by algorithms.</p>
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<p>The set of Pareto solutions in PF obtained by algorithms.</p>
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24 pages, 6993 KiB  
Article
Advancing Volcanic Activity Monitoring: A Near-Real-Time Approach with Remote Sensing Data Fusion for Radiative Power Estimation
by Giovanni Salvatore Di Bella, Claudia Corradino, Simona Cariello, Federica Torrisi and Ciro Del Negro
Remote Sens. 2024, 16(16), 2879; https://doi.org/10.3390/rs16162879 - 7 Aug 2024
Viewed by 1530
Abstract
The global, near-real-time monitoring of volcano thermal activity has become feasible through thermal infrared sensors on various satellite platforms, which enable accurate estimations of volcanic emissions. Specifically, these sensors facilitate reliable estimation of Volcanic Radiative Power (VRP), representing the heat radiated during volcanic [...] Read more.
The global, near-real-time monitoring of volcano thermal activity has become feasible through thermal infrared sensors on various satellite platforms, which enable accurate estimations of volcanic emissions. Specifically, these sensors facilitate reliable estimation of Volcanic Radiative Power (VRP), representing the heat radiated during volcanic activity. A critical factor influencing VRP estimates is the identification of hotspots in satellite imagery, typically based on intensity. Different satellite sensors employ unique algorithms due to their distinct characteristics. Integrating data from multiple satellite sources, each with different spatial and spectral resolutions, offers a more comprehensive analysis than using individual data sources alone. We introduce an innovative Remote Sensing Data Fusion (RSDF) algorithm, developed within a Cloud Computing environment that provides scalable, on-demand computing resources and services via the internet, to monitor VRP locally using data from various multispectral satellite sensors: the polar-orbiting Moderate Resolution Imaging Spectroradiometer (MODIS), the Sea and Land Surface Temperature Radiometer (SLSTR), and the Visible Infrared Imaging Radiometer Suite (VIIRS), along with the geostationary Spinning Enhanced Visible and InfraRed Imager (SEVIRI). We describe and demonstrate the operation of this algorithm through the analysis of recent eruptive activities at the Etna and Stromboli volcanoes. The RSDF algorithm, leveraging both spatial and intensity features, demonstrates heightened sensitivity in detecting high-temperature volcanic features, thereby improving VRP monitoring compared to conventional pre-processed products available online. The overall accuracy increased significantly, with the omission rate dropping from 75.5% to 3.7% and the false detection rate decreasing from 11.0% to 4.3%. The proposed multi-sensor approach markedly enhances the ability to monitor and analyze volcanic activity. Full article
(This article belongs to the Special Issue Application of Remote Sensing Approaches in Geohazard Risk)
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<p>(<b>1</b>) Derivation of the Normalized Thermal Index (NTI) obtained by combining the radiance of the MIR and the radiance of the TIR. (<b>2</b>) Application of the Spatial Standard Deviation (SSD) filter to each pixel in the image. (<b>3</b>) Definition of two statistical masks, Mask1 and Mask2, to identify “potential” and “true” hotspots, applied on the SSD and NTI of the volcanic area (VA). (<b>4</b>) Application of Gabor filter to extract the significant features of the image, resulting in a matrix called Gabor Weighted NTI (G-NTI). (<b>5</b>) Highlighting hotspots in the crater area and defining the Spatial Gabor Weighted NTI (SG-NTI). (<b>6</b>) Application of a statistical mask to the previously extracted matrix. (<b>7</b>) Calculation of the final VRP.</p>
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<p>Workflow image of the RSDF algorithm. Study cases: (<b>a</b>) Etna on 2 December 2023 at 01:10 UTC, MODIS sensor; (<b>b</b>) Etna on 15 January 2023 at 20:46 UTC, SLSTR sensor; (<b>c</b>) Stromboli on 3 October 2023 at 13:10 UTC, MODIS sensor; (<b>d</b>) Stromboli on 23 October 2023 at 09:08 UTC, SLSTR sensor.</p>
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<p>Time series of the Etna volcano. The panels show VRP calculated respectively from the RSDF Algorithm SLSTR (blue triangles) SLSTR Level 2 (red triangles), the RSDF Algorithm MODIS (blue triangles), MODIS Level 2 (red triangles). (<b>a</b>,<b>c</b>) shows data from January 2021 to April 2022, (<b>b</b>,<b>d</b>) from April 2022 to June 2023.</p>
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<p>Histograms (<b>a</b>,<b>c</b>) and probability plots (<b>b</b>,<b>d</b>) for Etna datasets. (<b>a</b>,<b>c</b>) Histograms display data distribution related to VRP (and FRP) in logarithmic scale; (<b>a</b>) blue bars represent the distribution of SLSTR-–RSDF algorithm processed data, and red bars represent SLSTR Level 2 product data; (<b>c</b>) blue bars represent the distribution of MODIS–RSDF algorithm processed data, and red bars represent MODIS active fire products. (<b>b</b>,<b>d</b>) Probability plots for normal distribution of RSDF algorithm processed data (blue), and Level 2 product data (red). The dashed grey lines represent the reference lines of the theoretical distributions, and the black dashed line in (<b>b</b>) corresponds to the slope change associated with the transition between regimes of background and high thermal activity.</p>
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<p>Stacked time series of VRPw (weekly mean) retrieved for the SLSTR–RSDF algorithm processed data (blue), SLSTR Level 2 product data (red), MODIS–RSDF algorithm processed data (green), and SLSTR Level 2 product data (black) at the Etna volcano, displayed on a logarithmic scale.</p>
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<p>VRP time series of the Stromboli volcano. The panels show VRP calculated respectively from the RSDF Algorithm SLSTR (blue triangles) SLSTR Level 2 (red triangles), the RSDF Algorithm MODIS (blue triangles), MODIS Level 2 (red triangles). (<b>a</b>,<b>c</b>) shows data from January 2021 to April 2022, (<b>b</b>,<b>d</b>) from April 2022 to June 2023.</p>
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<p>Histograms (<b>a</b>,<b>c</b>) and probability plots (<b>b</b>,<b>d</b>) for Stromboli datasets. (<b>a</b>,<b>c</b>) Histograms display data distribution related to VRP (and FRP) in logarithmic scale; (<b>a</b>) blue bars represent the distribution of SLSTR–RSDF algorithm processed data, and red bars represent SLSTR Level 2 product data; (<b>c</b>) blue bars represent the distribution of MODIS–RSDF algorithm processed data, and red bars represent MODIS active fire products. (<b>b</b>,<b>d</b>) Probability plots for normal distribution of RSDF algorithm processed data (blue), and Level 2 product data and MODIS active fire products (red). The dashed grey lines represent the reference lines of the theoretical distributions, and the black dashed line in (<b>b</b>) corresponds to the slope change associated with the transition between regimes of background and high thermal activity for Stromboli.</p>
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<p>Stacked time series of VRPw (weekly mean) retrieved for SLSTR–RSDF algorithm processed data (blue), SLSTR Level 2 product data (red), MODIS–RSDF algorithm processed data (green), and MODIS active fire products (black) at the Etna volcano, displayed on a logarithmic scale.</p>
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<p>Cumulative Volcanic Radiative Energy (VRE) calculated from VRP (and FRP) using the trapezoidal rule for integration. The blue line represents VRESLSTR, the red dashed line FREMODIS, the green dashed line VREMODIS, and the black dashed line FREMODIS. Panels (<b>a</b>,<b>c</b>) show data for Etna; panels (<b>b</b>,<b>d</b>) show data for Stromboli.</p>
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<p>Radiative power time series from SLSTR– and MODIS–RSDF algorithm data with intensity limits categorized as low, moderate, high, and extreme. (<b>a</b>) Etna, (<b>b</b>) Stromboli.</p>
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<p>Temporal trend of VRP values derived from the RSDF algorithm for SEVIRI, SLSTR, MODIS, and VIIRS over two periods at Mt. Etna: (<b>a</b>) 1 February 2021–30 April 2021, and (<b>b</b>) 27 September 2023–10 October 2023.</p>
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<p>TADR and lava flow volume flux during the effusive event at Etna from 14 May 2022 to 16 June 2022. TADR_max, TADR_mean, and TADR_min are represented by blue, red, and green points, respectively. The total volume_max, volume_mean, and volume_min are represented by blue, red, and green lines, respectively.</p>
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<p>TADR and lava flow volume flux during the effusive event at Stromboli from 27 September 2023 to 10 October 2023. TADR_max, TADR_mean, and TADR_min are represented by blue, red, and green points, respectively. The total volume_max, volume_mean, and volume_min are represented by blue, red, and green lines, respectively.</p>
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29 pages, 1787 KiB  
Article
Multi-Objective Technology-Based Approach to Home Healthcare Routing Problem Considering Sustainability Aspects
by Ahmed Adnan Zaid, Ahmed R. Asaad, Mohammed Othman and Ahmad Haj Mohammad
Logistics 2024, 8(3), 75; https://doi.org/10.3390/logistics8030075 - 23 Jul 2024
Viewed by 1053
Abstract
Background: This research aims to solve a home healthcare vehicle routing problem (HHCVRP) model that considers the social aspect of sustainability and will be implemented in smart cities. In addition to the dynamism and uncertainty caused by variations in the patient’s condition, [...] Read more.
Background: This research aims to solve a home healthcare vehicle routing problem (HHCVRP) model that considers the social aspect of sustainability and will be implemented in smart cities. In addition to the dynamism and uncertainty caused by variations in the patient’s condition, the proposed model considers parameters and variables that enhance its practicability, such as assuming different levels of patient importance (priority). Methods: The model was solved using a metaheuristic algorithm approach via the Ant Colony Optimization algorithm and the Non-Dominated Sorting technique due to the ability of such a combination to work out with dynamic models with uncertainties and multi-objectives. Results: This study proposes a novel mathematical model by integrating body sensors on patients to keep updating their conditions and prioritizing critical conditions in service. The sensitivity analysis demonstrates that using a heart rate sensor improves service quality and patient satisfaction without affecting the energy consumed. In addition, quality costs are increased if the importance levels of patients increase. Conclusions: The suggested model can assist healthcare practitioners in tracking patients’ health conditions to improve the quality of service and manage workload effectively. A trade-off between patient satisfaction and service provider satisfaction should be maintained. Full article
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<p>The proposed HHCVRP for patients with normal conditions (source: authors).</p>
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<p>The proposed HHCVRP for patients with critical conditions (source: authors).</p>
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<p>Crowding distance process [<a href="#B50-logistics-08-00075" class="html-bibr">50</a>].</p>
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<p>ACO algorithm flowchart for the proposed SSHHCVRP (source: authors).</p>
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<p>NS-ACO flowchart [<a href="#B48-logistics-08-00075" class="html-bibr">48</a>].</p>
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<p>NS-ACO algorithm in pseudo code (source: authors).</p>
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<p>Near-optimal route for the developed SSHHCVRP model (source: authors).</p>
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<p>The difference in quality costs between the two proposed scenarios (source: authors).</p>
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13 pages, 10927 KiB  
Article
Comparison of the Impact of VRP-034 and Polymyxin B upon Markers of Kidney Injury in Human Proximal Tubule Monolayers In Vitro
by Keith Pye, Elena Tasinato, Siannah Shuttleworth, Claire Devlin and Colin Brown
Antibiotics 2024, 13(6), 530; https://doi.org/10.3390/antibiotics13060530 - 6 Jun 2024
Cited by 1 | Viewed by 1222
Abstract
In this study, we assessed the impact of commercially available polymyxin B against VRP-034 (novel formulation of polymyxin B) using a validated in vitro human renal model, aProximateTM. Freshly isolated primary proximal tubule cells (PTCs) were cultured in Transwell plates and [...] Read more.
In this study, we assessed the impact of commercially available polymyxin B against VRP-034 (novel formulation of polymyxin B) using a validated in vitro human renal model, aProximateTM. Freshly isolated primary proximal tubule cells (PTCs) were cultured in Transwell plates and treated with various concentrations of the formulations for up to 48 h. The functional expression of megalin–cubilin receptors in PTC monolayers was validated using FITC-conjugated albumin uptake assays. Polymyxin B and VRP-034 were evaluated at six concentrations (0.3, 1, 3, 10, 30, and 60 µM), and nephrotoxicity was assessed through measurements of transepithelial electrical resistance (TEER), intracellular adenosine triphosphate (ATP) levels, lactate dehydrogenase (LDH) release, and novel injury biomarkers [kidney injury molecule-1 (KIM-1), neutrophil gelatinase-associated lipocalin (NGAL), and clusterin]. Additionally, histological analysis using annexin V apoptosis staining was performed. Our results indicated a significant decrease in TEER with polymyxin B at concentrations ≥10 μM compared to VRP-034. Toxic effects were observed from ATP and LDH release only at concentrations ≥30 μM for both formulations. Furthermore, injury biomarker release was higher with polymyxin B compared to VRP-034, particularly at concentrations ≥10 µM. Histologically, polymyxin B-treated PTCs showed increased apoptosis compared to VRP-034-treated cells. Overall, VRP-034 demonstrated improved tolerance in the aProximateTM model compared to polymyxin B, suggesting its potential as a safer alternative for renal protection. Full article
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<p>Intracellular uptake of FITC-albumin across the apical membrane of hPTCs in the absence (light grey bars) and presence (dark grey bars) of 400 ng/mL RAP, expressed as a percentage of the control monolayers. Data are from a representative donor derived from one human kidney. Data are presented as the mean of three replicates. Error bars capture SD. Significance is denoted by, * = <span class="html-italic">p</span> &lt; 0.05.</p>
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<p>Viability markers measured in hPTC monolayers derived from human kidney, presented as the fold-change from control monolayers. TEER measurements after 24 (<b>A</b>) and 48 h (<b>B</b>), LDH-release after 24 (<b>C</b>) and 48 h (<b>D</b>), and intracellular ATP after 24 (<b>E</b>) and 48 h (<b>F</b>). Green points pertain to marketed polymyxin B, whilst red points denote the VRP-034 novel formulation. Each data point represents the mean of three technical replicates. Error bars capture SD. Significance is denoted by ** = <span class="html-italic">p</span> &lt; 0.01, *** = <span class="html-italic">p</span> &lt; 0.001, **** = <span class="html-italic">p</span> &lt; 0.0001.</p>
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<p>Biomarker secretion from hPTC monolayers, presented as the fold-increase from control monolayers. KIM-1 production after 24 (<b>A</b>) and 48 h (<b>B</b>), NGAL production after 24 (<b>C</b>) and 48 h (<b>D</b>), and clusterin production after 24 (<b>E</b>) and 48 h (<b>F</b>). Green points pertain to marketed polymyxin B whilst red points denote the VRP-034 novel formulation. Each data point is the mean of three technical replicates, except NGAL after 48 h 60 µM polymyxin B treatment, which is two replicates, one being excluded due to an aberrantly low data point, which was an outlier within the set of triplicates compared with the other 5 readouts from that same well. Error bars capture SD. Significance is denoted by, * = <span class="html-italic">p</span> &lt; 0.05, *** = <span class="html-italic">p</span> &lt; 0.001, **** = <span class="html-italic">p</span> &lt; 0.0001.</p>
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<p>Fluorescent images of annexin V-FITC/PI-stained treated or untreated epithelial monolayers after 24 and 48 h of treatment. Cell nuclei are depicted in blue, while apoptotic cells are shown in green, and necrotic cells are shown in orange. After 24 h of treatment, polymyxin-B-treated cells (<b>C</b>–<b>E</b>) show increased positive annexin V-FITC staining as compared to equal concentrations of VRP-034 treatment (<b>F</b>–<b>H</b>). After 48 h of treatment, cells treated with polymyxin B (<b>K</b>–<b>M</b>) exert migration in large nodules, which show more intense annexin V staining as compared to VRP-034-treated cells (<b>N</b>–<b>P</b>). (<b>A</b>,<b>I</b>) medium only; (<b>B</b>,<b>J</b>) cisplatin; (<b>C</b>,<b>K</b>) 0.3 μM polymyxin B; (<b>D</b>,<b>L</b>) 10 μM polymyxin B; (<b>E</b>,<b>M</b>) 60 μM polymyxin B; (<b>F</b>,<b>N</b>) 0.3 μM VRP-034; (<b>G</b>,<b>O</b>)10 μM VRP-034; (<b>H</b>,<b>P</b>) 60 μM VRP-034.</p>
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<p>Examples of fluorescent images (<b>A</b>–<b>C</b>) of annexin V-FITC/PI-stained treated or untreated hPTCs monolayers and images of applied segmentation (<b>D</b>–<b>F</b>). After segmentation is applied to the images, nuclei are depicted in light blue, apoptotic cells are in red, and necrotic cells in pink.</p>
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15 pages, 671 KiB  
Article
Vehicle Route Planning for Relief Item Distribution under Flood Uncertainty
by Thanan Toathom and Paskorn Champrasert
Appl. Sci. 2024, 14(11), 4482; https://doi.org/10.3390/app14114482 - 24 May 2024
Viewed by 893
Abstract
Flooding, a pervasive and severe natural disaster, significantly damages environments and infrastructure and endangers human lives. In affected regions, disruptions to transportation networks often lead to critical shortages of essential supplies, such as food and water. The swift and adaptable delivery of relief [...] Read more.
Flooding, a pervasive and severe natural disaster, significantly damages environments and infrastructure and endangers human lives. In affected regions, disruptions to transportation networks often lead to critical shortages of essential supplies, such as food and water. The swift and adaptable delivery of relief goods via vehicle is vital to sustain life and facilitate community recovery. This paper introduces a novel model, the Vehicle Routing Problem for Relief Item Distribution under Flood Uncertainty (VRP-RIDFU), which focuses on optimizing the speed of route generation and minimizing waiting times for aid delivery in flood conditions. The Genetic Algorithm (GA) is employed because it effectively handles the uncertainties typical of NP-Hard problems. This model features a dual-population strategy: random and enhanced populations, with the latter specifically designed to manage uncertainties through anticipated route performance evaluations, incorporating factors like waiting times and flood risks. The Population Sizing Module (PSM) is implemented to dynamically adjust the population size based on the dispersion of affected nodes, using standard deviation assessments. Introducing the Complete Subtour Order Crossover (CSOX) method improves solution quality and accelerates convergence. The model’s efficacy is validated through simulated flood scenarios that emulate various degrees of uncertainty in road conditions, affirming its practicality for real-life rescue operations. Focusing on prioritizing waiting times over travel times in routing decisions has proven effective. The model has been tested using standard CVRP problems with 20 distinct sets, each with varying node numbers and patterns, demonstrating superior performance and efficiency in generating vehicle routing plans compared to the shortest routes, which serve as the benchmark for optimal solutions. The results highlight the model’s capability to deliver high-quality solutions more rapidly across all tested scenarios. Full article
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<p>Example of delivery of items under the uncertain flooding situation.</p>
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<p>An example of uncertain road conditions affecting vehicle speed.</p>
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<p>Difference in travel time and waiting time.</p>
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<p>VRP-RIDFU flowchart.</p>
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<p>An example of solution and population representation.</p>
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<p>The example of CVRP instances’ characteristics.</p>
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<p>Graphs of the performance response to the number of times uncertainty occurs for problem sets A and B.</p>
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<p>Graphs of the performance response to the number of times uncertainty occurs for problem sets E and M.</p>
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<p>Comparing the performance concerning the number of nodes of the operators CSOX, OX, and PMX.</p>
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21 pages, 379 KiB  
Article
An Integrated Framework for Dynamic Vehicle Routing Problems with Pick-up and Delivery Time Windows and Shared Fleet Capacity Planning
by Eyüp Tolunay Küp, Salih Cebeci, Barış Bayram, Gözde Aydın, Burcin Bozkaya and Raha Akhavan-Tabatabaei
Symmetry 2024, 16(4), 505; https://doi.org/10.3390/sym16040505 - 22 Apr 2024
Cited by 2 | Viewed by 1665
Abstract
This paper proposes a novel route optimization framework to solve the problem of instant pick-up and delivery for e-grocery orders. The proposed framework extends the traditional time-windowed package delivery problem. We demonstrate the effectiveness of our approach for this integrated problem using actual [...] Read more.
This paper proposes a novel route optimization framework to solve the problem of instant pick-up and delivery for e-grocery orders. The proposed framework extends the traditional time-windowed package delivery problem. We demonstrate the effectiveness of our approach for this integrated problem using actual delivery data from HepsiJet, a leading e-commerce logistics provider in Turkey. We first employ several machine learning algorithms and simulations to investigate the capacity of the courier. Subsequently, a dynamic route planning workflow is executed with a highly specialized and novel routing algorithm. Our proposed heuristic approach considers combined fleet operations for delivering regular packages originating from a central depot and dynamic e-grocery orders picked up at local supermarkets and delivered to the customers. The heuristic algorithm constitutes k-opt and node transfer operation variations customized for this integrated problem. We report the performance of our approach in problem instances from the literature and instances from HepsiJet’s daily operations, which we also publicly share as new route optimization problem instances. Our results suggest that, despite the more complex nature of the integrated problem, our proposed algorithm and solution framework produce more efficient and cost-effective solutions that offer additional business opportunities for companies such as HepsiJet. The computational analyses reveal that implementing our proposed approach yields significant efficiency gains and cost reductions for the company, with a distance reduction of over 30%, underscoring our approach’s effectiveness in achieving substantial cost savings and enhanced efficiency through integrating two distinct delivery operations. Full article
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<p>The proposed approach for system integration.</p>
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<p>The proposed approach for predicting the total daily delivery capacity.</p>
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<p>Actual and predicted daily total capacity values.</p>
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18 pages, 1851 KiB  
Article
Collaborative Task Allocation and Optimization Solution for Unmanned Aerial Vehicles in Search and Rescue
by Dan Han, Hao Jiang, Lifang Wang, Xinyu Zhu, Yaqing Chen and Qizhou Yu
Drones 2024, 8(4), 138; https://doi.org/10.3390/drones8040138 - 3 Apr 2024
Cited by 6 | Viewed by 1684
Abstract
Earthquakes pose significant risks to national stability, endangering lives and causing substantial economic damage. This study tackles the urgent need for efficient post-earthquake relief in search and rescue (SAR) scenarios by proposing a multi-UAV cooperative rescue task allocation model. With consideration the unique [...] Read more.
Earthquakes pose significant risks to national stability, endangering lives and causing substantial economic damage. This study tackles the urgent need for efficient post-earthquake relief in search and rescue (SAR) scenarios by proposing a multi-UAV cooperative rescue task allocation model. With consideration the unique requirements of post-earthquake rescue missions, the model aims to minimize the number of UAVs deployed, reduce rescue costs, and shorten the duration of rescue operations. We propose an innovative hybrid algorithm combining particle swarm optimization (PSO) and grey wolf optimizer (GWO), called the PSOGWO algorithm, to achieve the objectives of the model. This algorithm is enhanced by various strategies, including interval transformation, nonlinear convergence factor, individual update strategy, and dynamic weighting rules. A practical case study illustrates the use of our model and algorithm in reality and validates its effectiveness by comparing it to PSO and GWO. Moreover, a sensitivity analysis on UAV capacity highlights its impact on the overall rescue time and cost. The research results contribute to the advancement of vehicle-routing problem (VRP) models and algorithms for post-earthquake relief in SAR. Furthermore, it provides optimized relief distribution strategies for rescue decision-makers, thereby improving the efficiency and effectiveness of SAR operations. Full article
(This article belongs to the Special Issue Distributed Control, Optimization, and Game of UAV Swarm Systems)
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<p>Multi-UAV cooperative rescue scenario for post-earthquake relief in SAR.</p>
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<p>Linear weight function imposed on flight.</p>
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<p>Comparison of nonlinear convergence factors.</p>
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<p>Flowchart of the PSOGWO Algorithm.</p>
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<p>Iterative optimization process of the three algorithms.</p>
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<p>Roadmap for relief medical goods delivered by UAVs in M City.</p>
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10 pages, 239 KiB  
Proceeding Paper
Challenges and Opportunities for Applying Meta-Heuristic Methods in Vehicle Routing Problems: A Review
by Wayan Firdaus Mahmudy, Agus Wahyu Widodo and Alfabiet Husien Haikal
Eng. Proc. 2024, 63(1), 12; https://doi.org/10.3390/engproc2024063012 - 27 Feb 2024
Cited by 1 | Viewed by 1145
Abstract
The Vehicle Routing Problem (VRP) is related to determining the route of several vehicles to distribute goods to customers efficiently and minimize transportation costs or optimize other objective functions. VRP variations will continue to emerge as manufacturing industry production distribution problems become increasingly [...] Read more.
The Vehicle Routing Problem (VRP) is related to determining the route of several vehicles to distribute goods to customers efficiently and minimize transportation costs or optimize other objective functions. VRP variations will continue to emerge as manufacturing industry production distribution problems become increasingly complex. Meta-heuristic methods have emerged as a powerful solution to overcome the complexity of VRP. This article provides a comprehensive review of the use of meta-heuristic methods in solving VRP and the challenges faced. A review of popular meta-heuristic methods is presented, including Simulated Annealing, Genetic Algorithm, Particle Swarm Optimization, and Ant Colony Optimization. The advantages of each method in solving the VRP and its role in solving complex distribution problems are discussed in detail. Challenges that may be encountered in using meta-heuristics for VRPs are analyzed, along with strategies to overcome these challenges. This article also recommends further research that includes adaptation to more complex VRP variants, incorporation of meta-heuristic methods, parameter optimization, and practical implementation in real-world scenarios. Overall, this review explains the important role of meta-heuristic methods as intelligent solutions to increasingly complex distribution and logistics challenges. Full article
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