Rahman edited section_A_multi_objective_robust__.tex  about 8 years ago

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Bozorgi et al. \cite{BozorgiEtal2013} discussed about significance and importance of preparedness in disaster relief logistic. They developed a three level(i.e., Supplier, relief distribution centers(RDC) and affected areas(AA)) multi-commodity bi-objective supply chain model under uncertainty. The integrated model incorporates uncertainty on AAs' demand,supplies, cost of procurement and transportation, which are realized, depending on severity of disaster, through a discrete probabilistic scenarios. Furthermore, the authors considered road failure and facility disruption in their model and assumed that each AA can be served by multiple RDC. Accordingly, they formulated the problem as a bi-objective robust stochastic, mixed-integer nonlinear model, which intended to minimize total cost(i.e., setup,procurement, transportation, inventory and unsatisfied demands) as the first objective and to maximize last mile satisfaction, which is defined as minimizing total maximum unsatisfied demands at AAa, as the second objective.   //////////////// I dont know whether I should add this term or not ??????  To develop a robust model, two additional terms are added to the first objective: terms,  cost variability and penalty of infeasibility. infeasibility, are added to the first objective.  //////////////    To obtain non-dominated solution, the Compromize programming(CP) is employed and efficacy of the approach is tested via a conducting case study on a region of Iran.