在线算法和竞争比分析是研究在线租赁的主要方法,而且一般是在租赁费用和购买价格不变的情形下给出最优投资策略。在已有研究基础上,建立了设备购买价格递减变化的离散型数学模型,给出了该模型下的最优投资策略和其竞争比的上界。最后,将市场利率进一步引入在线租赁模型中,使得模型更加贴近实际。 Online algorithms and competition analysis are the main methods to study online leasing, and usually give the optimal investment strategy under the condition of the same rental cost and purchase price. Based on the existing research, a discrete mathematical model of diminishing purchase price of equipment is established, and the optimal investment strategy under the model and the upper bound of its competition ratio are given. Finally, the market interest rate is further introduced into the online leasing model, making the model more realistic.