This paper considers a multi-stage, multi-product production, inventory and transportation system and presents a mathematical programming model of a pull type ordering system based on the concept of kanban system. When we apply a mathematical programming approach to ordering systems, the problem to be solved is to reduce the computational time because the model includes many integral variables. In order to tackle the problem, this paper presents a solution using a mathematical programming software (Gurobi Optimizer) with a parallel MIP (Mixed Integer Programming) solver and a tuning tool for the parameters. The aim of this paper is two-fold. One is to illustrate parameter tuning and the other is to verify the effectiveness of the tuning tool, through numerical examples of the model applied to an automobile parts manufacturer.
展开▼
