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\section{A modified particle swarm optimization for disaster relief logistics under uncertain environment}  inventory + location+ Distribution supply chain. location-inventory  \\ Bozorgi et al. \cite{BozorgiEtal2012} discussed significant casualties and high frequency of disasters that occurs every year and proposed a three-level relief chain model for pre- and post-disaster phases, which includes supplier, relief distribution center(RDCs) and affected area(AA) levels.\\  At pre-disaster phase the model determines amount of items brought from supplier to RDCs as well as location and inventory level of RDCs, while pos-disaster decisions comprises amount of items brought from RDCs to AAs and unsatisfied demands. The authors contemplate the transportation and procurement costs, supplies of each RDC and AAs' demands as uncertain parameters. Accordingly, the model is formulated as a stochastic mixed integer non-linear programming problem(MINLP) , in which uncertain parameters is captured through discrete probabilistic scenarios. Furthermore, the authors assume that each AA can be served by multiple RDCs and also consider road destruction possibility. Objective function of the proposed model minimizes sum of pre-disaster cost s(i.e., RDCs' establishment, procurement and transportation from supplier to RDCs) and post-disaster costs (i.e., procurement, transportation, inventory and unsatisfied demand) as well as variance of the total cost. For the solution procedure, the authors utilized particle swarm algorithm(PSO), in which each particle contains two matrices, first matrix indicates problem decisions and the second matrix contains problem scenarios.