| Summary: | 碩士 === 東海大學 === 工業工程學系 === 90 === In this paper, we consider an integrated inventory model with one vendor and multiple buyers. In this 3-tier supply chain, this vendor purchases raw material, produces into finished items, and delivers finished items to multiple buyers. The focus of this study is to secure the optimal common cycle for the vendor’s production and all the buyers’ replenishment to minimize the average total cost. To approach this problem, we first derive the joint total average cost that occurs from the vendor and all buyers. Then, we analyze the optimality structure of the optimal joint total average cost curve with respect to the value of common cycle (T). We show that the joint total average cost curve is piece-wise convex. The junction points on the optimal joint total average cost curve can be easily located by a closed-form formula. We propose an efficient search algorithm for securing the optimal solution of this problem. In order to improve the effectiveness of the search algorithm, we derive an upper and a lower bound on the value of common cycle. A numerical example demonstrate that our search algorithm secures the optimal solution in a very short run time.
|
|---|
