Optimal dynamic pricing of perishable products with stochastic demand and a finite set of prices
Optimal dynamic pricing of perishable products with stochastic demand and a finite set of prices
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DOI：
10.1016/s0377-2217(99)00211-8
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发表时间：
2000-08-16
影响因子：
6.4
通讯作者：
Chatwin, RE
中科院分区：
文献类型：
--
作者：
Chatwin, RE
考虑一个连续时间的库存问题，其中零售商为固定数量的易腐资产设定价格，这些资产必须在其腐烂之前出售。零售商可以在有限数量的允许价格中的任何一个之间动态地调整价格。产品的需求是泊松分布，其强度与价格成反比。最优策略是分段常数。最大期望收益是非递减的，在剩余库存和时间去凹。对于给定的库存水平，最优价格随着产品报废时间的临近而下降。在任何给定的时间，最优价格是未售出商品数量不增加。这些结果扩展到（i）的情况下，其中的价格和相应的需求强度取决于时间去;（ii）的情况下，零售商可以重新进货，以满足需求的单位成本后，初始库存已售出。(C)2000 Elsevier Science B. V.保留所有权利。
Consider a continuous-time inventory problem in which a retailer sets the price on a fixed number of a perishable asset that must be sold prior to the time at which it perishes. The retailer can dynamically adjust the price between any of a finite number of allowable prices. Demand for the product is Poisson with an intensity that is inversely related to the price. The optimal policy is piecewise-constant. The maximum expected revenue is nondecreasing and concave in both the remaining inventory and the time-to-go. For a given inventory level the optimal price declines as the time at which the products perish approaches. At any given time the optimal price is nonincreasing in the number of items remaining unsold. These results are extended to (i) the case in which the prices and corresponding demand intensities depend on the time-to-go; and (ii) the case in which the retailer can restock to meet demand at a unit cost after the initial inventory has been sold. (C) 2000 Elsevier Science B.V. All rights reserved.