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通胀市场下的风险补偿在线租赁策略设计
引用本文:刘幼珠,徐维军,胡茂林.通胀市场下的风险补偿在线租赁策略设计[J].运筹与管理,2013,22(4):175-181.
作者姓名:刘幼珠  徐维军  胡茂林
作者单位:1.华南理工大学 工商管理学院,广东 广州 510641;2.淮阴师范学院 数学科学学院,江苏 淮安 223300
基金项目:国家自然科学基金青年项目(70801027);中央高校基本科研业务费专项资金资助(2012ZZ0035);教育部人文社会科学研究项目(10YJA630062)
摘    要:考虑到实际租赁市场中设备的租赁和购买价格随着时间推移持续上涨的特征,研究了通货膨胀市场中的租赁问题在有利率情形下的在线竞争策略,并建立了相应的概率预期的风险补偿模型。首先运用在线算法和竞争分析理论设计了该问题的最优竞争策略,并给出最优竞争比。接着,在风险补偿竞争分析框架下,进一步讨论该问题,投资者可以控制风险,根据自己不同的风险容忍度和未来预期选择补偿最大的租赁策略;也可以根据给定的补偿收益约束选择风险最小的策略。最后通过数值分析,验证了相关结论的正确性,也表明了基于概率预期的风险补偿策略大大改善了该租赁问题的竞争比性能。

关 键 词:在线租赁问题  风险补偿  竞争分析  通货膨胀  市场利率  
收稿时间:2012-05-15

Competitive Strategy and Risk-reward Model for On-line Leasing in an Inflation Market
LIU You-zhu,XU Wei-jun,HU Mao-lin.Competitive Strategy and Risk-reward Model for On-line Leasing in an Inflation Market[J].Operations Research and Management Science,2013,22(4):175-181.
Authors:LIU You-zhu  XU Wei-jun  HU Mao-lin
Affiliation:1. School of Business Administration, South China University of Technology, Guangzhou 510641, China;2. School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China
Abstract:In real rental market, based on the fact that the rental cost and purchase price of an equipment generally continue to rise as time goes, we put forward the on-line strategy for the rental problem both with the interest rate and the increasing price index, and also propose the risk-reward model based on probabilistic forecasts. Firstly, by using the method of on-line algorithm and competitive analysis, we design the optimal investment strategy and competitive ratio for this problem. Then, under the risk-reward framework, we discuss the maximum reward strategy based on the given risk tolerance and the future forecast. More, we propose another risk model for this problem which can obtain the minimum risk strategy under the given reward level and the future forecast. Finally, the optimal competitive performance of the strategy is discussed and illustrated by numerical analysis, which shows that the competitive performance of on-line strategy increases significantly in the risk-reward models with probabilistic forecast.
Keywords:on-line leasing problem  risk-reward  competitive analysis  inflation  interest rate  
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