Presenting a multi-objective model for location-routing problem with considering minimal risk and maximal demand covering

Locational decisions, routing and allocation in supply chain management philosophy is undoubtedly one of the most important issues that affect the frequency of the supply chain cost reduction and customer satisfaction. This paper presents an integrated approach to the distribution network. The objective function of the proposed mathematical model consists of minimizing the total costs associated with transportation and warehouse rental costs and also minimize the risk of system. The model has high computational complexity and the exact method of solving it is not possible in a reasonable time. The result is an innovative multi-objective algorithm known as the objective harmony search algorithm is presented. To demonstrate the effectiveness and efficiency of the proposed algorithm to solve the model using the Taguchi method algorithm parameters are adjusted in the best possible rates. Then a random sample of the issues and the performance of the proposed algorithm with NSGA-ǁ and NRGA evaluated.