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Rahman Khorramfar edited section_A_multi_objective_robust__1.tex
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\section{A multi-objective robust optimization model for logistics planning in the earthquake response phase}
Najafi et al. \cite{NajafiEtal2013} study logistics of both relief items and injured (critical) people in post-disaster phase. In particular, they proposed a dynamic (multi-period) trio-objective model with heterogeneous vehicles and multiple commodities. Inspired by
\cite{Bertsimas&Sim2004} \cite{BertsimasSim2004} proposed technique, they presented a robust optimization model of the model; defining the number of injured people, demands, suppliers’ and hospitals’ capacities as interval data. For the objective functions, in lexicographic order, the formulation aims to minimize: 1) total weighted waiting time of unserved injured persons. 2) total weighted lead time of satisfying demands. 3) total vehicles utilized. The problem is solved via robust optimization technique, and tested on case study with 16 nodes, five hospitals, five supplier and four vehicle types.