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Robust Platelet Logistics Planning in Disaster Relief Operations Under Uncertainty: a Coordinated Approach

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Abstract

Resource sharing, as a coordination mechanism, can mitigate disruptions in supply and changes in demand. It is particularly crucial for platelets because they have a short lifespan and need to be transferred and allocated within a limited time to prevent waste or shortages. Thus, a coordinated model comprised of a mixed vertical-horizontal structure, for the logistics of platelets, is proposed for disaster relief operations in the response phase. The aim of this research is to reduce the wastage and shortage of platelets due to their critical role in wound healing. We present a bi-objective location-allocation robust possibilistic programming model for designing a two-layer coordinated organization strategy for multi-type blood-derived platelets under demand uncertainty. Computational results, derived using a heuristic ε-constraint algorithm, are reported and discussed to show the applicability of the proposed model. The experimental results indicate that surpluses and shortages in platelets remarkably declined following instigation of a coordinated disaster relief operation.

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Acknowledgements

We wish to express our sincere thanks to the anonymous referee and the Editorial office for their through and constructive review that have helped us improve both the presentation of the work and the methodologies developed here. We are also most grateful to Professor Hua Cai whose valuable support led to a significant improvement in the article.

Author information

Authors and Affiliations

  1. Department of Industrial Engineering, Faculty of Engineering, Yazd University, Yazd, Iran

    Afshin Kamyabniya & M. M. Lotfi

  2. School of Industrial Engineering, Purdue University, West Lafayette, IN, 47907, USA

    Afshin Kamyabniya & Yuehwern Yih

  3. Centre for Artificial Intelligence, Faculty of Engineering and Information Technology, University of Technology Sydney (UTS), Sydney, Australia

    Mohsen Naderpour

Authors
  1. Afshin Kamyabniya
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  2. M. M. Lotfi
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  3. Mohsen Naderpour
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  4. Yuehwern Yih
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Corresponding author

Correspondence to M. M. Lotfi.

Appendices

Appendix 1. Case Data Studied

Table 8 Supply of vehicles (unit: helicopter or bus)
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Table 9 Daily supply (new donations) of platelets (unit: bags of platelets)
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Table 10 Platelet demand at TESs and hospitals (unit: bags of platelets)
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Table 11 Distance between BSUs and hospitals (unit: miles)
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Table 12 Distance between TESs and BSUs (in miles)
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Table 13 Initial inventory of platelets at hospitals (unit: bags of platelets)
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Appendix 2. Linearization Technique

In this technique, interactions between discrete and binary variables are changed by replacing the product of interacting variables to new discrete variables. The linearization variable is called y and reflects the products of x (discrete variable) and d (binary) in the process of linearization. The lower bound and upper bound of x are assumed to be known and take the values of L and U, respectively. The linear mixed-integer programming model after linearization process is:

$$ \mathrm{Ld}\le \mathrm{y}\le \mathrm{Ud} $$
(61)
$$ \mathrm{L}\left(1-\mathrm{d}\right)\le \left(\mathrm{x}-\mathrm{y}\right)\le \mathrm{U}\left(1-\mathrm{d}\right) $$
(62)

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Kamyabniya, A., Lotfi, M.M., Naderpour, M. et al. Robust Platelet Logistics Planning in Disaster Relief Operations Under Uncertainty: a Coordinated Approach. Inf Syst Front 20, 759–782 (2018). https://doi.org/10.1007/s10796-017-9788-5

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