摘要
针对航空运输中的多航段航线舱位控制及动态定价策略问题,提出统一分析模型。采用最大凹向包络理论从给定的价格集合中确定出最优价格子集,再利用连续控制系统动态规划理论,建立哈密尔顿-雅克比控制方程并求解,并对求解算法进行稳定性分析。最后,进行了算例验证分析。研究结果表明:采用本文模型所得到的收益明显大于最低价和最高价策略。同时,分析了最优价格策略的售票特性,可供航空公司作参考。
As to the problems in air transportation of multi-leg seat inventory control and dynamic price,this paper proposed a unified analytical model for multi-leg seat inventory control and pricing strategy. The optimal price was determined from the given set of price through applying maximal concave envelope theory. Then the control equation of Hamilton-Jacobi was built up and solved based on dynamic programming of continuous control system. The stability analysis was also considered. Eventually,according to the analysis of the numerical examples,the test result reveals that the maximum profit depending on the model introduced in this paper is obviously higher than the one obtained by adopting the fixed ladder ticketing model. The model and the solving methods are feasible to multi-leg airline revenue of the air passenger transportation.
出处
《河南科技大学学报（自然科学版）》
CAS
北大核心
2014年第3期32-37,6,共6页
Journal of Henan University of Science And Technology:Natural Science
基金
国家自然科学基金项目(60736045
60472130)
关键词
航空运输
多航段
舱位控制
动态定价
最大凹向包络理论
air transportation
multi-leg
inventory control
dynamic price
maximal concave envelope theory
