The optimal warehouse capacity: A queuing-based fuzzy programming approach

Among the various existing forms of warehousing management, the simultaneous use of private and public warehouses is a most well-known one. The purpose of this article is to develop a queuing theory-based model for determining the optimal capacity of private warehouse in order to minimize the total corresponding costs. In the proposed model, the available space and budget to create a private warehouse are assumed to be limited. Due to the vagueness, some parameters are simulated by expert-based triangular fuzzy numbers. Also two well-known methods are applied to solve the queuing-based fuzzy programming model and to optimize the private warehouse capacity. The numerical results confirm that our proposed method match well with various lines of manufacturing environments and conditions.