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A Stochastic Optimization Model to Reduce Expected Post-Disaster Response Time Through Pre-Disaster Investment Decisions

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  • Lili Du
  • Srinivas Peeta

Abstract

This paper seeks to enhance network survivability under a disaster and reduce the expected post-disaster response time for transportation networks through pre-disaster investment decisions. The planning focuses on determining the links of the network to strengthen through investment under two types of uncertainties: the disaster characteristics, and the surviving network under each disaster. A bi-level stochastic optimization model is proposed for this problem, in which link investment decisions are made at the upper level to enhance the network survivability subject to a budget constraint such that the expected post-disaster response time is minimized at the lower level. A two-stage heuristic algorithm is proposed to obtain effective solutions efficiently. The numerical experiments indicate that the proposed heuristic algorithm converges to a fixed point representing a feasible solution, within an acceptable tolerance level, of the bi-level stochastic optimization model which is an effective solution under disasters of moderate severity. Parametric and sensitivity analyses reinforce the need for a holistic approach that integrates multiple relevant considerations to determine the link investment decisions. Copyright Springer Science+Business Media New York 2014

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  • Lili Du & Srinivas Peeta, 2014. "A Stochastic Optimization Model to Reduce Expected Post-Disaster Response Time Through Pre-Disaster Investment Decisions," Networks and Spatial Economics, Springer, vol. 14(2), pages 271-295, June.
    • Handle: RePEc:kap:netspa:v:14:y:2014:i:2:p:271-295
    DOI: 10.1007/s11067-013-9219-1
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    11. Yücel, E. & Salman, F.S. & Arsik, I., 2018. "Improving post-disaster road network accessibility by strengthening links against failures," European Journal of Operational Research, Elsevier, vol. 269(2), pages 406-422.
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    13. Yingliang Zhou & Qiwei Jiang & Jin Qin, 2019. "Pre-Disaster Retrofit Decisions for Sustainable Transportation Systems in Urban Areas," Sustainability, MDPI, vol. 11(15), pages 1-18, July.
    14. Starita, Stefano & Scaparra, Maria Paola, 2016. "Optimizing dynamic investment decisions for railway systems protection," European Journal of Operational Research, Elsevier, vol. 248(2), pages 543-557.
    15. Chen, Albert Y. & Yu, Ting-Yi, 2016. "Network based temporary facility location for the Emergency Medical Services considering the disaster induced demand and the transportation infrastructure in disaster response," Transportation Research Part B: Methodological, Elsevier, vol. 91(C), pages 408-423.
    16. Zhou, Rui & Bhuiyan, Tanveer Hossain & Medal, Hugh R. & Sherwin, Michael D. & Yang, Dong, 2022. "A stochastic programming model with endogenous uncertainty for selecting supplier development programs to proactively mitigate supplier risk," Omega, Elsevier, vol. 107(C).
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