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Mathematical Problems in Engineering
Volume 2014 (2014), Article ID 187275, 11 pages
Research Article

Uncertain Programming for Network Revenue Management

Institute of Mathematics for Applications, Civil Aviation University of China, Tianjin 300300, China

Received 18 March 2014; Revised 14 May 2014; Accepted 19 May 2014; Published 9 June 2014

Academic Editor: Andy H. F. Chow

Copyright © 2014 Deyi Mou and Xiaoxin Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The mathematical model for airline network seat inventory control problem is usually investigated to maximize the total revenue under some constraints such as capacities and demands. This paper presents a chance-constrained programming model based on the uncertainty theory for network revenue management, in which the fares and the demands are both uncertain variables rather than random variables. The uncertain programming model can be transformed into a deterministic form by taking expected value on objective function and confidence level on the constraint functions. Based on the strategy of nested booking limits, a solution method of booking control is developed to solve the problem. Finally, this paper gives a numerical example to show that the method is practical and efficient.