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Equilibrium and Optimal Strategies in MM1 Queues with Working Vacations and Vacation Interruptions
Joint Authors
Hu, Linmin
Tian, Ruiling
Wu, Xijun
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-02-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We consider the customers equilibrium and socially optimal joining-balking behavior in single-server Markovian queues with multiple working vacations and vacation interruptions.
Arriving customers decide whether to join the system or balk, based on a linear reward-cost structure that incorporates their desire for service, as well as their unwillingness for waiting.
We consider that the system states are observable, partially observable, and unobservable, respectively.
For these cases, we first analyze the stationary behavior of the system and get the equilibrium strategies of the customers and compare them to socially optimal balking strategies numerically.
American Psychological Association (APA)
Tian, Ruiling& Hu, Linmin& Wu, Xijun. 2016. Equilibrium and Optimal Strategies in MM1 Queues with Working Vacations and Vacation Interruptions. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112920
Modern Language Association (MLA)
Tian, Ruiling…[et al.]. Equilibrium and Optimal Strategies in MM1 Queues with Working Vacations and Vacation Interruptions. Mathematical Problems in Engineering No. 2016 (2016), pp.1-10.
https://search.emarefa.net/detail/BIM-1112920
American Medical Association (AMA)
Tian, Ruiling& Hu, Linmin& Wu, Xijun. Equilibrium and Optimal Strategies in MM1 Queues with Working Vacations and Vacation Interruptions. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-10.
https://search.emarefa.net/detail/BIM-1112920
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112920