购买价格递减的在线租赁问题策略设计  

Strategy Design on Online Leasing Problem with Decreasing Purchasing Price

作　　者：胡茂林[1] 徐维军[2] 

机构地区：[1]淮阴师范学院数学科学学院运筹与优化研究室,江苏淮安223300 [2]华南理工大学工商管理学院决策科学系,广东广州510641

出　　处：《运筹与管理》2015年第5期281-287,共7页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71471065);教育部人文社会科学研究规划基金(10YJA630062);中央高校基本科研业务费专项资金资助(2012ZZ0035)

摘　　要：运用在线问题与竞争分析的方法研究了购买价格递减的在线租赁问题。通过揭示相关费用函数的性质,先后给出了最优离线策略以及在线策略。通过竞争比分析,证明了我们给出的在线策略是该问题唯一最优策略,而且该策略的竞争比随购买价格的优惠率的增加呈严格递减趋势。竞争分析结果表明考虑购买价格递减因素能够改进在线策略的竞争比从而提高决策效率。In this paper, we use the method of competitive analysis for online problem to study an online leasing problem with decreasing price for purchasing. By analyzing the properties of cost functions concerned, the opti- mal offline strategy and an online strategy are given. By way of the analysis of competitive rate, we prove online strategy to be the unique optimal strategy for this problem, and competitive rate of this strategy is strictly decrea- sing with the preferential rate of purchasing price. The result shows that taking the factors of the decreasing of purchasing price will improve the competitive rate of online strategy and thereby increase the decision-making ef- ficiency.

关 键 词：在线租赁问题 在线策略 竞争分析 竞争比 购买价格递减 

分 类 号：F224.0[经济管理—国民经济]