非线性指数回购合同约束的占线租赁问题  

Online Leasing Problem with Nonlinear Exponential Buy-back Contract

作　　者：王扬[1] 徐维军[2] 徐寅峰[1] 

机构地区：[1]西安交通大学管理学院,陕西西安710049 [2]华南理工大学工商管理学院,广东广州510641

出　　处：《系统工程》2012年第5期45-50,共6页Systems Engineering

基　　金：国家自然科学基金资助项目(70801027);教育部新世纪优秀人才支持计划项目(NCET-10-0401);中央高校基本科研业务费专项资金资助项目(2012ZZ0035)

摘　　要：考虑到设备的使用寿命通常呈现出更一般的非线性衰减,本文以非线性指数价格函数为回购合同约束建立了占线租赁决策模型,并得到了模型的最优竞争策略。首先分别对指数非线性回购合同进行数学刻画并讨论了其相关的一些性质。其次对存在旧货市场的离线租赁问题进行最优分析,进而提出该问题的占线租赁策略,并运用竞争分析方法从理论上完美证明了该策略的最优性。与经典的占线租赁模型比较发现,其竞争比小于Karp"雪橇租赁"模型中最优策略的竞争比。另外,本文提出的具有回购合同约束的占线租赁模型是对已有研究仅考虑新货市场进行扩展突破,即考虑了允许旧货市场的存在,是对现有占线租赁模型库的一个有益补充。Considering that the life of the equipment generally presents a non-linear decay, we establish online leasing model with non-linear buy-back contracts, i.e. , exponential price function, and then give its optimal competitive strategy. First, we characterize the mathematical model of this non-linear buy-back contract and discuss some properties. Second, we study optimal off-line leasing problem with existence of the second-hand market, and propose online leasing strategy. Finally, we use competitive analysis to prove perfectly the optimality of this strategy, and find its competitive ratio is smaller than that of Karp＇s model. Also, the optimal competitive performance of the strategy is discussed and illustrated by numerical analysis. In addition, our proposed online leasing model with the constraint of the above buy-back contract has expanded the previous studies that only allow for new products in the market. Our model considers old products into the lease market, which is a useful supplement to the existing literature of online leasing models.

关 键 词：占线租赁问题 竞争策略 合同 竞争比 占线算法 

分 类 号：F224[经济管理—国民经济]