Application of the Mixed-Integer Programming Method in Fishery Supply Chain Network Management‎: ‎A Case Study of Shrimp in Golestan Province

Social‎, ‎economic‎, ‎and environmental issues such as population growth‎, ‎reduction of natural resources‎, ‎climate change‎, ‎market fluctuations‎, ‎and changing consumer behavior have attracted the attention of politicians to the supply chain of agricultural products‎. ‎Designing an effective supply chain for each product can lead to optimal management of the agricultural sector and create coordination and links between activities‎. ‎In this article‎, ‎the design of a two-echelon supply chain network of shrimp in Golestan province is investigated‎. ‎The objective is to minimize the total cost associated with fixed opening and operating costs of shrimp farming companies and to determine the target market for these producers‎. ‎Also‎, ‎this study involves deciding on the amount of inputs purchased by each company and determining the best mode of transport‎. ‎To characterize and solve this problem‎, ‎we developed a mixed-integer programming (MIP) model that solves with GAMS software‎. ‎The results show that with the implementation of the MIP model‎, ‎the total costs of the chain are reduced by nearly 20 percent compared to the current situation‎. ‎In addition‎, ‎without increasing production‎, ‎it is possible to supply 0.053 percent of global market demand‎, ‎which is 76 percent more than before.