A mixed-integer linear program for supply chain management problem: case study of dairy department, the Thai Vet Army School

Abstract

This study focuses on a mathematical model for a supply chain management problem, which consists of production planning, inventory control, and transportation problems. In this paper, milk supply chain optimization problems are formulated as a mixed-integer linear programming problem considering production lot-sizing and inventory design with a discrete time finite horizon (multi-time periods). The proposed method seeks to maximize system-wide profits while satisfying demand for milk from multiple consumers. The milk supply chain problem of the dairy department in the Thai Vet Army School are considered as a case study.