Mathematical Modeling and Distribution Design for Agricultural Products in Bangladesh
Mohammad Khairul Islam *
Department of Mathematics, Directorate of Secondary and Higher Education, Dhaka-1000, Bangladesh.
Md. Mahmud Alam
Department of Mathematics, Dhaka University of Engineering and Technology, Gazipur-1707, Bangladesh.
Mohammed Forhad Uddin
Department of Mathematics, Bangladesh University of Engineering and Technology, Dhaka-1000, Bangladesh.
Gazi Mohammad Omar Faruque
Department of Computer Science and Engineering, University of South Asia, Dhaka-1213, Bangladesh.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we have formulated a mixed integer linear programming (MILP) model for the distribution design of Agricultural products in Bangladesh. The scheme of distribution is very important for the supply chain network (SCN), which is choosing the suitable distribution center (DC) for the distribution of the products. This study is a real life distribution problem. To developed this model, we have collected data from various market players who are directly or indirectly involved in Agriculture sector. We have to solve this model, by using a mathematical programming language (AMPL). We have verified a multi-stage SCN, which includes producer, DC and customer. Also this model is to optimize profit, allocations of the products and most useable DC which satisfied most of the customer demands. Finally, we can analyze the profit for the uncertainty parameters.
Keywords: Supply chain, agricultural products, distribution center, optimization, mixed integer linear program.