Robust optimization for emergency logistics planning: Risk mitigation in humanitarian relief supply chains

Atamturk, 2007, Two-stage robust network flow and design under demand uncertainty, Operations Research – Baltimore, 55, 662, 10.1287/opre.1070.0428 Ben-Tal, 2006, Extending scope of robust optimization: comprehensive robust counterparts of uncertain problems, Mathematical Programming, 107, 63, 10.1007/s10107-005-0679-z Ben-Tal, 2009 Ben-Tal, 2004, Adjustable robust solutions of uncertain linear programs, Mathematical Programming, 99, 351, 10.1007/s10107-003-0454-y Ben-Tal, 1998, Robust convex optimization, Mathematics of Operations Research, 23, 769, 10.1287/moor.23.4.769 Ben-Tal, 1999, Robust solutions of uncertain linear programs, Operations Research Letters, 25, 1, 10.1016/S0167-6377(99)00016-4 Ben-Tal, 2000, Robust solutions of linear programming problems contaminated with uncertain data, Mathematical Programming, 88, 411, 10.1007/PL00011380 Ben-Tal, 2002, Robust optimization – methodology and applications, Mathematical Programming, 92, 453, 10.1007/s101070100286 Bertsimas, D., Brown, D.B., Caramanis, C., 2007. Theory and Applications of Robust Optimization. Submitted. users.ece.utexas.edu/cmcaram/pubs/RobustOptimizationLV.pdf. Bertsimas, D., Perakis, G., 2005. Robust and adaptive optimization: a tractable approach to optimization under uncertainty. NSF/CMMI/OR 0556106. Bertsimas, 2003, Robust discrete optimization and network flows, Mathematical Programming, 98, 49, 10.1007/s10107-003-0396-4 Bertsimas, 2004, The price of robustness, Operations Research, 52, 35, 10.1287/opre.1030.0065 Chiu, 2007, Modeling no-notice mass evacuation using a dynamic traffic flow optimization model, IIE Transactions, 39, 83, 10.1080/07408170600946473 Daganzo, 1993, The cell transmission model. Part I: a simple dynamic representation of highway traffic, Transportation Research B, 28, 269 Daganzo, 1995, The cell transmission model, part II: network traffic, Transportation Research Part B, 29, 79, 10.1016/0191-2615(94)00022-R El Ghaoui, 2003, Worst-case value-at-risk and robust portfolio optimization: a conic programming approach, Operations Research, 51, 543, 10.1287/opre.51.4.543.16101 El Ghaoui, 1997, A cone complementarity linearization algorithm for static output-feedback and related problems, IEEE Transactions on Automatic Control, 42, 1171, 10.1109/9.618250 Erera, 2009, Robust optimization for empty repositioning problems, Operations Research, 57, 468, 10.1287/opre.1080.0650 Friesz, 2000 Guha-Sapir, D., Debarati, G.S., Hargitt, D., Hoyois, P., Below, R., Brechet, D., 2004. Thirty Years of Natural Disasters 1974–2003: The Numbers. Presses Univ. de Louvain. Karoonsoontawong, 2007, Robust dynamic continuous network design problem, Transportation Research Record: Journal of the Transportation Research Board, 2029, 58, 10.3141/2029-07 Lindell, 2008, EMBLEM2: an empirically based large scale evacuation time estimate model, Transportation Research Part A, 42, 140 Lodree, 2008, An insurance risk management framework for disaster relief and supply chain disruption inventory planning, Journal of the Operational Research Society, 59, 674, 10.1057/palgrave.jors.2602377 Merchant, 1978, A model and an algorithm for the dynamic traffic assignment problems, Transportation Science, 12, 183, 10.1287/trsc.12.3.183 Merchant, 1978, Optimality conditions for a dynamic traffic assignment model, Transportation Science, 12, 200, 10.1287/trsc.12.3.200 Mudchanatongsuk, 2008, Robust solutions for network design under transportation cost and demand uncertainty, Journal of the Operational Research Society, 59, 652, 10.1057/palgrave.jors.2602362 Mulvey, 1995, Robust optimization of large-scale systems, Operations Research, 43, 264, 10.1287/opre.43.2.264 Nie, Y., 2010. A Cell-based Merchant–Nemhauser Model for the System Optimum Dynamic Traffic Assignment Problem. Transportation Research Board 89th Annual Meeting. Ordóñez, 2007, Robust capacity expansion of network flows, Networks, 50, 136, 10.1002/net.20183 Ozdamar, 2004, Emergency logistics planning in natural disasters, Annals of Operations Research, 129, 217, 10.1023/B:ANOR.0000030690.27939.39 Peeta, 1999, Robustness of the off-line a priori stochastic dynamic traffic assignment solution for on-line operations, Transportation Research Part C, 7, 281, 10.1016/S0968-090X(99)00023-6 Peeta, 2001, Foundations of dynamic traffic assignment: the past, the present and the future, Networks and Spatial Economics, 1, 233, 10.1023/A:1012827724856 Radwan, 1985, A computer simulation model for rural network evacuation under natural disasters, ITE Journal, 55, 25 Shapiro, 2003, Monte Carlo sampling methods, Handbooks in Operations Research and Management Science, 10, 353, 10.1016/S0927-0507(03)10006-0 Shapiro, 2005 Sheu, 2007, An emergency logistics distribution approach for quick response to urgent relief demand in disasters, Transportation Research Part E, 43, 687, 10.1016/j.tre.2006.04.004 Tuydes, H., 2005. Network Traffic Management under Disaster Conditions. Ph.D. Thesis, Northwestern University, Evanston, IL. Ukkusuri, 2008, Linear programming models for the user and system optimal dynamic network design problem: formulations, comparisons and extensions, Networks and Spatial Economics, 8, 383, 10.1007/s11067-007-9019-6 Waller, 2001, Evaluation with traffic assignment under demand uncertainty, Transportation Research Record: Journal of the Transportation Research Board, 1771, 69, 10.3141/1771-09 Waller, 2006, A chance-constrained based stochastic dynamic traffic assignment model: analysis, formulation and solution algorithms, Transportation Research Part C, 14, 418, 10.1016/j.trc.2006.11.002 Xie, 2010, A dynamic evacuation network optimization problem with lane reversal and crossing elimination strategies, Transportation Research Part E, 46, 295, 10.1016/j.tre.2009.11.004 Yazici, 2007, Impact of probabilistic road capacity constraints on the spatial distribution of hurricane evacuation shelter capacities, Transportation Research Record: Journal of the Transportation Research Board, 2022, 55, 10.3141/2022-07 Yin, 2008, Estimating investment requirement for maintaining and improving highway systems, Transportation Research Part C, 16, 199, 10.1016/j.trc.2007.07.004 Yin, 2009, Robust improvement schemes for road networks under demand uncertainty, European Journal of Operational Research, 198, 470, 10.1016/j.ejor.2008.09.008 Ziliaskopoulos, 2000, A linear programming model for the single destination system optimum dynamic traffic assignment problem, Transportation Science, 34, 37, 10.1287/trsc.34.1.37.12281