不定期机票销售数量的优化控制方法研究

Research on the optimization control method of the quantity of aperiodic ticket

不定期机票作为一种有效调节需求,解决航空公司供需矛盾的方法,已经在国内外航空公司中开始实施.本文使用期望收益和期望边际座位收益(EMSR)方法,提出两个命题,在此基础上建立了多航班总收益最优的不定期机票销售数量的优化模型,给出启发式算法.最后通过实例,分析了不定期机票的销售数量、价格对航班总收益的影响.在实例中,对不定期机票销售数量进行优化后航班总收益提高5.05%,对价格和销售数量同时优化后收益提高5.28%,证明对不定期机票销售数量进行优化可以提高航空公司收益.

Aperiodic ticket, an effective method of adjusting demand and resolving the inconsistency between supply and demand, has been put into practice in the domestic and foreign airlines. Using the expected revenue and expected marginal seat revenue （EMSR） , two propositions are proposed, and based on those this paper presents a model to optimize the quantity of the aperiodic ticket, and then gives its heuristic arithmetic and program by MATLAB language. Finally, this paper analyzes the influence of the quantity and the price of aperiodic ticket on the total revenue by an instance. Compared with the revenue calculated by EMSR without aperiodic ticket, the total revenue raises 5. 05 % when the quantity of the aperiodic ticket is optimized and 5.28 % when the quantity and the price are optimized at the same time which shows that the optimization of the quantity of the aperiodic ticket can increase flight revenue of airlines.