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Dynamic Inventory Relocation in Disaster Relief

Author

Listed:
  • Yuli Zhang
  • Amber R. Richter
  • Jeyaveerasingam George Shanthikumar
  • Zuo‐Jun Max Shen

Abstract

This study investigates dynamic inventory relocation to respond proactively to the changing relief demand forecasts over time. In particular, we examine how to relocate mobile inventory optimally to serve nonstationary stochastic demand at several potential disaster sites. We propose a dynamic relocation model using dynamic programming (DP) and develop both analytical and numerical results regarding optimal relocation policies, the minimum cost‐to‐go function, and the value of inventory mobility over traditional warehouse pre‐positioning. Given the computational complexity of the backwards DP algorithm, we develop a base state heuristic (BSH) for general problems by exploiting the real‐world disaster pattern of occurrence. For problems with temporally independent demand, we propose a polynomial time exact algorithm based on a spatial–temporal graph. For problems with spatially independent demand, we design a speedup technique to implement BSH in polynomial time. The proposed model and algorithms are further extended to consider the impact of transportation uncertainties. Numerical experiments show that the proposed algorithms return high‐quality decisions only in a small fraction of the time required by an exact algorithm and a myopic algorithm. The proposed model and algorithms are applicable to any type of mobile inventory, facility, or server in similar settings.

Suggested Citation

  • Yuli Zhang & Amber R. Richter & Jeyaveerasingam George Shanthikumar & Zuo‐Jun Max Shen, 2022. "Dynamic Inventory Relocation in Disaster Relief," Production and Operations Management, Production and Operations Management Society, vol. 31(3), pages 1052-1070, March.
    • Handle: RePEc:bla:popmgt:v:31:y:2022:i:3:p:1052-1070
    DOI: 10.1111/poms.13594
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    1. Sudtachat, Kanchala & Mayorga, Maria E. & Mclay, Laura A., 2016. "A nested-compliance table policy for emergency medical service systems under relocation," Omega, Elsevier, vol. 58(C), pages 154-168.
    2. Ahmadi, Morteza & Seifi, Abbas & Tootooni, Behnam, 2015. "A humanitarian logistics model for disaster relief operation considering network failure and standard relief time: A case study on San Francisco district," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 145-163.
    3. Pengfei Guo & Fang Liu & Yulan Wang, 2020. "Pre‐positioning and Deployment of Reserved Inventories in a Supply Network: Structural Properties," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 893-906, April.
    4. Rawls, Carmen G. & Turnquist, Mark A., 2012. "Pre-positioning and dynamic delivery planning for short-term response following a natural disaster," Socio-Economic Planning Sciences, Elsevier, vol. 46(1), pages 46-54.
    5. Wilfredo Yushimito & Miguel Jaller & Satish Ukkusuri, 2012. "A Voronoi-Based Heuristic Algorithm for Locating Distribution Centers in Disasters," Networks and Spatial Economics, Springer, vol. 12(1), pages 21-39, March.
    6. Manoj Vanajakumari & Subodha Kumar & Sushil Gupta, 2016. "An Integrated Logistic Model for Predictable Disasters," Production and Operations Management, Production and Operations Management Society, vol. 25(5), pages 791-811, May.
    7. Milad Keshvari Fard & Mahyar Eftekhar & Felix Papier, 2019. "An Approach for Managing Operating Assets for Humanitarian Development Programs," Production and Operations Management, Production and Operations Management Society, vol. 28(8), pages 2132-2151, August.
    8. Andrew N. Arnette & Christopher W. Zobel, 2019. "A Risk‐Based Approach to Improving Disaster Relief Asset Pre‐Positioning," Production and Operations Management, Production and Operations Management Society, vol. 28(2), pages 457-478, February.
    9. Bélanger, V. & Ruiz, A. & Soriano, P., 2019. "Recent optimization models and trends in location, relocation, and dispatching of emergency medical vehicles," European Journal of Operational Research, Elsevier, vol. 272(1), pages 1-23.
    10. Jiaming Qiu & Thomas Sharkey, 2013. "Integrated dynamic single-facility location and inventory planning problems," IISE Transactions, Taylor & Francis Journals, vol. 45(8), pages 883-895.
    11. Matthew S. Maxwell & Eric Cao Ni & Chaoxu Tong & Shane G. Henderson & Huseyin Topaloglu & Susan R. Hunter, 2014. "A Bound on the Performance of an Optimal Ambulance Redeployment Policy," Operations Research, INFORMS, vol. 62(5), pages 1014-1027, October.
    12. Burcu Balcik & Selene Silvestri & Marie‐Ève Rancourt & Gilbert Laporte, 2019. "Collaborative Prepositioning Network Design for Regional Disaster Response," Production and Operations Management, Production and Operations Management Society, vol. 28(10), pages 2431-2455, October.
    13. Sushil Gupta & Martin K. Starr & Reza Zanjirani Farahani & Niki Matinrad, 2016. "Disaster Management from a POM Perspective: Mapping a New Domain," Production and Operations Management, Production and Operations Management Society, vol. 25(10), pages 1611-1637, October.
    14. Wenjun Ni & Jia Shu & Miao Song, 2018. "Location and Emergency Inventory Pre†Positioning for Disaster Response Operations: Min†Max Robust Model and a Case Study of Yushu Earthquake," Production and Operations Management, Production and Operations Management Society, vol. 27(1), pages 160-183, January.
    15. Kristin Marano & David Wald & Trevor Allen, 2010. "Global earthquake casualties due to secondary effects: a quantitative analysis for improving rapid loss analyses," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 52(2), pages 319-328, February.
    16. David Simchi-Levi & Nikolaos Trichakis & Peter Yun Zhang, 2019. "Designing Response Supply Chain Against Bioattacks," Operations Research, INFORMS, vol. 67(5), pages 1246-1268, September.
    17. Yusen Ye & Wen Jiao & Hong Yan, 2020. "Managing Relief Inventories Responding to Natural Disasters: Gaps Between Practice and Literature," Production and Operations Management, Production and Operations Management Society, vol. 29(4), pages 807-832, April.
    18. Jon M. Stauffer & Subodha Kumar, 2021. "Impact of Incorporating Returns into Pre‐Disaster Deployments for Rapid‐Onset Predictable Disasters," Production and Operations Management, Production and Operations Management Society, vol. 30(2), pages 451-474, February.
    19. Richard E. Rosenthal & John A. White & Donovan Young, 1978. "Stochastic Dynamic Location Analysis," Management Science, INFORMS, vol. 24(6), pages 645-653, February.
    20. Jayashankar M. Swaminathan, 2018. "Big Data Analytics for Rapid, Impactful, Sustained, and Efficient (RISE) Humanitarian Operations," Production and Operations Management, Production and Operations Management Society, vol. 27(9), pages 1696-1700, September.
    21. Wang, Xinfang (Jocelyn) & Paul, Jomon A., 2020. "Robust optimization for hurricane preparedness," International Journal of Production Economics, Elsevier, vol. 221(C).
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    2. Sheu, Jiuh-Biing, 2024. "Mass evacuation planning for disasters management: A household evacuation route choice behavior analysis," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 186(C).

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