چكيده
In this research is considered a multi-objective model for a three-echelon supply chain with multi-vendor, multi-retailor, single-product and a central warehouse under the vendor management inventory policy. In addition, the demand of retailors is probabilistic. The proposed model has some assumptions and limitations such as the limitation of central warehouse, the total orders of the central warehouse per each year, the total orders of vendors, the replenishment rate of retailors, the considered budget and the supply rate of the central warehouse per each year, also the total reliability of supply chain should be more than a minimum reliance. A mixed integer non-linear model including minimization of the total inventory and supply chain costs and maximization of the reliability of supply chain is presented. The algorithms of NSGA-II and MOPSO are used to solve the proposed model. Also the response surface methodology is applied to strengthen the quality of algorithms. Finally, three sets of small, middle, and large size benchmark instances are produced to test the performance of algorithms. The obtained results show that both algorithms are sufficiently efficient although MOPSO is more efficient than NSGA-II in some cases.
