Interval model of Food Supply Chain Network at the Multi Stage Distribution Systems

The main purpose of this paper is to design a comprehensive decision-making model, includes all parts of the supply that make up the food supply chain. The research method is divided into two parts. The first part is designing a comprehensive configuration of singles product multi stage FSCN model, which consists of multi farmers, multi factories, multi distribution central, and multi-consumer retail. This section also examines supply chain design problems with various uncertainty conditions of the parameters and propose a mathematical modeling framework to optimize FSCN problem. The second part complements the optimization of the single product multi stage FSCN model using interval programming method. The optimal optimization is minimization the total costs incurred to operate a multi-stage distribution system. FSCN configuration is formed based on the case of salt distribution system, consisting of 9 salt farmer groups, 3 warehouses, 2 factories, 3 distribution centers (DC) and 6 consumer retail points. This configuration explains about the structure that forms the network and its role in the food supply chain network interval model. Interval Coefficient method used effectively and usefully can solve FSCN optimization problems in real life. This interval method uses matrix data input of costs in the form of intervals. The efficiency of the proposed method is illustrated by a numerical example where it is proven optimization problem of FSCN model can be solved with the Interval Method.