计算机科学
凸壳
估价(财务)
数学优化
背景(考古学)
正多边形
固定成本
运筹学
微观经济学
经济
数学
几何学
财务
生物
古生物学
作者
Mustafa Akan,Barı ş Ata,Tava Lennon Olsen
出处
期刊:Operations Research
[Institute for Operations Research and the Management Sciences]
日期:2012-11-21
卷期号:60 (6): 1505-1519
被引量:33
标识
DOI:10.1287/opre.1120.1117
摘要
We consider a congestible system serving multiple classes of customers who differ in their delay sensitivity and valuation of service (or product). Customers are endowed with convex-concave delay cost functions. A system manager offers a menu of lead times and corresponding prices to arriving customers, who then choose the lead-time–price pair that maximizes their net utility (value minus disutility of delay and price). We investigate how such menus should be chosen dynamically (depending on the system backlog) to maximize welfare. We formulate a novel fluid model of the problem and show that the cost-balancing policy (based on the convex hulls of the delay cost functions) is socially optimal if the system manager can tell customer types apart. If types are indistinguishable to the system manager, the cost-balancing policy is also incentive compatible under social optimization. Finally, we show through a simulation study that the cost-balancing policy does well in the context of the original (stochastic) problem by testing it against various natural benchmarks.
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