A New Mathematical Model for Multi Product Location-Allocation Problem with Considering the Routes of Vehicles

Abstract--- Facility location–allocation (FLA), which has been proved to be a valuable method in siting service facility, is widely used in real life, such as emergency service systems, telecommunication net works, public services, etc.FLA provides a valuable method in deciding where to place facilities coupled with determining how to assign demand to the located facilities in order to utilize resources effectively. This paper presents a new mathematical model for locating and allocating in transportation system in which each production center can produces multi type of products. The objective is to minimize the total costs in the production and transportation systems such as: fixed cost of opening the production centers, total production cost and total transportation cost that are entered to system by vehicles