Dynamic capacity management with uncertain demand and dynamic price

Dynamic capacity management with uncertain demand and dynamic price
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需求不确定和价格动态的动态容量管理

DOI:
10.1016/j.ijpe.2016.02.011
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发表时间:
2016-05
影响因子:
12
通讯作者:
Hu, Qiying
Hu, Qiying
中科院分区:
工程技术1区
文献类型:
--
作者:
Wen, Xiaoqin;Xu, Chen;Hu, Qiying

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本文从中国真实的房地产企业的实际出发,研究了在有限或无限销售期内销售同质商品的企业的动态能力管理问题,假设需求不确定,零售价格是外生的,但按自回归过程变化,且每个时期的剩余库存都有持有成本。企业面临的生产能力问题包括在销售季节开始时确定初始库存量,并在每个时期分配当前和未来销售的剩余数量,以最大化企业的总期望贴现利润。通过使用马尔可夫决策过程,我们展示了所谓的储蓄水平策略的最优性(即,如果可能的话,在每个时段中将尽可能多的储蓄水平分配给未来时段是最优的)以及最优初始库存的存在。此外,我们还刻画了最优储蓄水平和最优初始库存的单调性。数值分析表明,与零储蓄水平的策略相比(即,总是将所有剩余库存分配到当期),当价格上涨趋势较大、持有成本较低、初始价格较高、需求变化较大或较小时,本文提出的策略的优势是显著的。
Inspired from practices of Chinese real estate firms, we study dynamic capacity management problems for a firm that sells homogeneous goods over a finite or infinite selling horizon, provided that demand is uncertain, retail price is exogenous but changes according to an auto-regressive process, and there is holding cost for remaining inventory in each period. The capacity problems facing the firm include to determine an initial stock at the beginning of the selling season and to allocate the remaining quantity for the current and future sale in each period to maximize the firm׳s total expected discounted profit. By using Markov decision processes, we show the optimality of a so-called save-up-to level policy (i.e., it is optimal to allocate as much as the save-up-to level to future periods if possible in each period) and the existence of the optimal initial stock. Moreover, we characterize monotone properties of the optimal save-up-to level and the optimal initial stock. Numerical analysis shows that compared to the policy with zero save-up-to level (i.e., always allocating all the remaining inventory to the current period), the advantage of the policy proposed in the present paper is significant when price rising trend is large, holding cost is low, initial price is high, or demand variation is either high or low.
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