【摘要】 对于中国这样一个因地区经济水平不同而造成地区消费差异极度巨大的国家,航空公司应该怎样设置卖票策略使自己的各个航班的效用最大,传统的方法是票价系统因地而异,但这种方法有很大的随意性,并且对订票系统改变较大,操作成本高。本文将采用一个新的方法讨论该问题。首先,引进一个反映地区消费水平的参数,简称地区因子。然后结合一个单阶段航班,建立考虑地区因子的随机动态模型,同时证明了与效用函数相关的一些性质:比例边际效用函数是分别关于时间,待订票数和地区因子的单调增加函数。基于这些性质,对连接不同地域的航班,我们只要调整地区因子,再采用阀值控制策略就能使航班的效用最大且空置率得到有效抑制。最后,给出了一个实例。更多还原

【Abstract】 In different regions,the consumption levels of flights change dramatically.In order to adapt to these different situations,the airlines usually adopt different prices systems.This paper discusses this problem from a different angle.Firstly,we bring in a parameter,called region factor,which reflects how the districts that the flight links influence the airline’s utility,and construct a stochastic dynamic model of a single flight connected with it.Then we obtain the properties of the utility function:proportional marginal utility function is an increasing function of remaining time,remaining seats and the region factor.Basing on these properties,we obtain the following booking strategy:according to the regions that the flight linked,we adopt the appropriate region factor and the optimal threshold control strategy.Lastly,a constructive example is discussed.更多还原