基于排队理论的汽车租赁运营策略

将汽车租赁问题转化为即时排队系统M/M/n/n/∞模型,解决了在租赁模型中顾客需求与租期都是随机参数的难题。在租赁商独立经营的情况下,以利润最大化为目标建立模型,得到租赁商的最优车辆购置数;比较两家租赁商合作经营与独立经营情况下的利润,得出合作经营后总利润增加值与两租赁商均可以接受的转租价格,为租赁商选择有利的运营策略提供了理论依据;通过算例验证了模型的有效性。

Queuing Theory-Based operation Policies for Car Renting

In car renting,customer demands rental time are subject to random variation.Thus,it is difficult to model and optimize such a process.The car renting is treated as a real time queuing process.Based on this concept,for a car rental company,aiming at maximizing its profit by determining the number of vehicles needed,a mathematical model is developed.With this model,the profit obtained by two companies under cooperation is compared with that obtained without cooperation.Results show that more profit can be obtained with cooperation than without cooperation.Furthermore,based on the total profit increase for the two cooperative companies,the acceptable sublet price range is presented.Thus,by using the proposed method,a car renting company can select its most profitable operation policy.Numerical examples are given to verify the proposed method.