We consider several location inventory optimization models for the supply chain configuration of subway facilities. It includes several distribution centers and several retailers. Customer demand and redelivery time are considered random. The goal is to find the optimal locations for facilities and their inventory policy simultaneously. For this purpose, a two-phase approach based on queuing theory and stochastic optimization was developed. Today, meta-heuristic methods are often used to solve optimization problems such as facility design. in this study; The design of different units, stores, and rooms of a real large-scale subway was organized using three meta-heuristic methods: Migratory Bird Optimization (MBO), Taboo Search (TS), and Simulated Simulation (SA). The results were compared with the existing subway design. As a result, the meta-heuristic methods of MBO and SA have provided the best results that improve the efficiency of the existing subway design to an acceptable level. Manuscript profile

In this article, we will examine the financial issues related to multi-period routing and positioning and the related costs, and we will examine the related limitations. These decisions are made about location allocation, inventory and routing in a three-tier supply chain, including suppliers, warehouses and customers. We are looking for new ways to make location and routing decisions simultaneously and efficiently. In order to maximize the search space and achieve optimal results, exploratory and meta-heuristic methods have been used. The meta-heuristic technique is usually used to increase the performance of the hybrid technique. Therefore, this paper provides an overview of meta-heuristic methods and their combination to solve problems. It also examines the advantages and disadvantages of the proposed methods to solve these problems in order to provide more efficient methods. Manuscript profile

In this paper, we consider the issues related to multi-periodic and multi-period routing and positioning, and investigate the relevant constraints. Those decisions on location allocation, inventory and routing are made in a three-tiered supply chain, including suppliers, warehouses and customers. We seek new ways to decide on location and routing simultaneously and efficiently. To maximize the search space and to achieve optimum results, heuristic and meta-heuristic methods have been used. The meta-heuristics technique is usually used to increase the performance of the combination technique. Therefore, this article provides an overview of meta-heuristic methods and their combinations to solve problems. It also examines the advantages and disadvantages of the proposed methods to solve these problems in order to provide more efficient methods. Manuscript profile