integration of p-hub location problem and 3m supply chain

The present study proposes an integrated model for hub location problem in a multi-location, multi-period, multi-commodity (3m) three-echelon supply chain. the problem is formulated as a mixed integer programming model that could be solved using gams software. as the developed model is a mixed integer non-linear programming and np-hard, a new algorithm for re-formulation is proposed to change it to a mixed integer leaner programming. also, a new heuristic algorithm is proposed to solve it in a reasonable time. to prove the applicability of the model, the well-known real cab data set is used. numerical examples show the benefit of the proposed model in both solution time and result quality.