Airline Overbooking Problem with Uncertain No-Shows
Joint Authors
Zhang, Chunxiao
Yi, Shenghui
Guo, Congrong
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-16
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
This paper considers an airline overbooking problem of a new single-leg flight with discount fare.
Due to the absence of historical data of no-shows for a new flight, and various uncertain human behaviors or unexpected events which causes that a few passengers cannot board their aircraft on time, we fail to obtain the probability distribution of no-shows.
In this case, the airlines have to invite some domain experts to provide belief degree of no-shows to estimate its distribution.
However, human beings often overestimate unlikely events, which makes the variance of belief degree much greater than that of the frequency.
If we still regard the belief degree as a subjective probability, the derived results will exceed our expectations.
In order to deal with this uncertainty, the number of no-shows of new flight is assumed to be an uncertain variable in this paper.
Given the chance constraint of social reputation, an overbooking model with discount fares is developed to maximize the profit rate based on uncertain programming theory.
Finally, the analytic expression of the optimal booking limit is obtained through a numerical example, and the results of sensitivity analysis indicate that the optimal booking limit is affected by flight capacity, discount, confidence level, and parameters of the uncertainty distribution significantly.
American Psychological Association (APA)
Zhang, Chunxiao& Guo, Congrong& Yi, Shenghui. 2014. Airline Overbooking Problem with Uncertain No-Shows. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-461847
Modern Language Association (MLA)
Zhang, Chunxiao…[et al.]. Airline Overbooking Problem with Uncertain No-Shows. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-461847
American Medical Association (AMA)
Zhang, Chunxiao& Guo, Congrong& Yi, Shenghui. Airline Overbooking Problem with Uncertain No-Shows. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-461847
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-461847