Integrated profit oriented supply chain of perfect quality items with multiple imprecise goals in an uncertain environment

The major issues of supply chain network are the product quality, cost and delivery time. In this paper, we investigate the effects of product quality and transportation flow in uncertain environment. A tradeoff between raw material quality, inspection cost, purchasing cost and reprocessing costs is considered. The total delivery time in transporting goods at all levels is minimized. A supply chain with multiple suppliers, manufacturers, distribution centers is taken and a possibilistic mixed integer linear programming with multiple imprecise goals is applied to accomplish the above mentioned tradeoffs. The transportation costs, delivery time, selling price are considered in uncertain environment and are taken as triangular numbers. At each echelon, the decision maker specifies the most possible value in the possibility distribution of each imprecise data as a precise number.