Abstract
This chapter proposes a multistage stochastic optimization framework that dynamically updates the purchasing and distribution decisions of emergency commodities in the aftermath of an earthquake. Furthermore, the models consider the risk of exceeding the budget levels at any stage through chance constraints, which are then converted to Conditional Value-at-Risk constraints. Compared to the previous papers, our framework provides the flexibility of adjusting the level of conservativeness to the users by changing risk related parameters. Under some conditions, the resulting linear programming problems are solved through the Stochastic Dual Dynamic Programming algorithm. The preliminary numerical results are encouraging.
This research with the project number 13.402.005 has been financially supported by Galatasaray University Research Fund.
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Angun, E.: Stochastic dual dynamic programming solution of a short-term disaster management problem. In: Dellino, G., Meloni, C. (eds.) Uncertainty Management in Simulation-Optimization of Complex Systems: Algorithms and Applications. Operations Research/Computer Science Series. Springer, New York, 2015, pp. 225–250
Ben-Tal, A., Chung, B.D., Mandala, S.R., Yao, T.: Robust optimization for emergency logistics planning: risk mitigation in humanitarian relief supply chains. Transp. Res. Part B: Methodol. 45, 1177–1189 (2011)
Pereira, M.V.F., Pinto, L.M.V.G.: Multi-stage stochastic optimization applied to energy planning. Math. Program. 52, 359–375 (1991)
Rawls, C.G., Turnquist, M.A.: Pre-positioning and dynamic delivery planning for short-term response following a natural disaster. Socio. Econ. Plan. Sci. 46, 46–54 (2012)
Rockafellar, R.T., Uryasev, S.P.: Optimization of conditional value-at-risk. J. Risk 2, 21–41 (2000)
Shapiro, A., Tekaya, W., da Costa, J.P., Soares, M.P.: Risk neutral and risk averse stochastic dual dynamic programming method. Eur. J. Oper. Res. 224, 375–391 (2013)
Unpublished data obtained through private communication from Ansal, A., Boğaziçi University Kandilli Observatory and Earthquake Research Center, Istanbul, Turkey
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Angün, E. (2016). Stochastic Dynamic Programming Solution of a Risk-Adjusted Disaster Preparedness and Relief Distribution Problem. In: Lübbecke, M., Koster, A., Letmathe, P., Madlener, R., Peis, B., Walther, G. (eds) Operations Research Proceedings 2014. Operations Research Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-319-28697-6_2
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DOI: https://doi.org/10.1007/978-3-319-28697-6_2
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