Fuzzy linear programming approach to multi-mode distribution planning problem

In this study we address the multi-product, multi-period, multi-mode distribution planning problem. The objective of this paper is to present a real distribution planning problem in which rail/road transportation is integrated within a whole focus on supply chain management. However, in real world problems, practical situations are often not well-defined and thus can not be described precisely. Therefore fuzzy mathematical programming becomes a valuable extension of traditional crisp optimization models. This paper also illustrates how a fuzzy linear programming approach be used to model and solve the multi-mode transportation problem