A bi-objective production-distribution problem in a supply chain network under grey flexible conditions

One of the main topics discussed in a supply chain is production-distribution problem. Producing and distributing products plays key role reducing costs chain. To design chain, network efficient management decisions essential. Accordingly, providing an appropriate mathematical model for such problems can be helpful designing managing networks. Mathematical formulations must drawn close to real world due importance This makes those more complicated. In this study, novel multi-objective formulation devised problem that consists several suppliers, manufacturers, distributors, different customers. Also, Mixed Integer Linear Programming (MILP) proposed multi-period network. addition, grey flexible linear programming (GFLP) done The designed first time cope with uncertain nature costs, demands, capacity parameters. regard, NP-hardness complexity necessity using meta-heuristic algorithms, NSGA-II Fast PGA algorithm are applied compared terms criteria emphasize quality diversity solutions.