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Inventory control problem with freight cost and stochastic demand
Authors:Ju-liang Zhang   Chung-Yee Lee  Jian Chen
Affiliation:aDepartment of Logistics Management, School of Economics and Management, Beijing Jiaotong University, Beijing, 100044, China;bDepartment of Industrial Engineering and Logistics Management, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;cDepartment of Management Science and Engineering, School of Economics and Management, Tsinghua University, Beijing, 100084, China
Abstract:This paper generalizes the standard newsboy model to the case including freight cost, in which the capacity of one container is the limit and the freight cost is proportional to the number of the containers used. We show that the optimal ordering quantity is either the newsboy solution or some multiple of the container’s capacity. We also propose an algorithm to compute the optimal policy. Furthermore, we generalize these results to the case in which the inventory and the price are determined jointly with emergency purchase.
Keywords:Stochastic inventory management   Freight cost   Newsboy problem   Pricing
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