本文基于一种设备在线租赁的基础上,提出了在线设备更新问题。运用传统竞争比方法分别研究了两阶段设备更新问题在有无利率情形下的在线竞争策略,并建立了相应的风险补偿模型,从而在线投资者可以根据自己的风险容忍度和预期选择最优的更新策略。市场利率的引入使得在线设备更新模型更复杂但更贴近于现实中的设备更新问题。最后,通过具体实例进一步说明了市场利率下在线竞争比更小,而且竞争比关于市场利率递减;同时也说明了风险补偿模型中最优约束竞争比要小的多。因此,投资者若考虑到资金的收益及市场风险因素后将会采取更加谨慎稳健的投资策略。
Based on the on-line leasing of one kind device,the on-line device replacement problem is presented.By traditional competitive ratio method,competitive strategies for the two stage device replacement problems with and without market interest rates are discussed respectively,and the risk-reward models are also provided respectively.Therofore the online person who replaces device can choose the most optimal based on their risk tolerance and forecasts.Interest rate is an essential feature of any practical online device replacement,and consideration about it is included in this paper although it made the problem more complex.Examples show that competitive ratio with interest rate is smaller,the competitive ratio decreases with interest rate;and the optimal restricted competitive ratio under risk-reward model is much smaller.Therefore,investor will take more prudent investment strategy with interest rate.