Mathematical Modeling of Integrated Manufacturing And Distribution Systems With Fuzzy Approach in Supply Chain Management in the Food Industry

Today, the role of the economy in various spheres among food is on the rise. Fuzzy supply chain management is one of the modern attitudes that lead to reduce system costs, food spoilage, losses in shipping products and to reduce inventory levels. Management of fixed costs including the cost of distribution centers construction and variable costs such as transportation costs, maintenance, shortages, manpower, deterioration of food products and others will be concluded. Queue model structure which used in this study obeys from M/G/1 queue that arrival rate Poisson probability distribution function and the service rate have the general probability distribution function. In this study, fuzzy supply chain has been analyzed in three levels. The suppliers are in first level, the distribution centers are in second level and the local warehouse (consumer) is located in third level. The structure of objective function of the presented optimization model is based on the profit maximization which the resulted benefit from products sale obtained from the difference between total revenues and total costs. The appropriate results can be obtained from the model analysis. To determine the transfers volume of suppliers to the intermediate warehouses (distribution centers) as well as determining the volume of transfers from the central warehouse to local warehouse. The model is solved by using Maple 12 software. Finally, the proper results are stated. This approach causes the appropriate management of market, increasing of custome