Social Optimization and Pricing Strategies in Unobservable Queues with Delayed Multiple Vacations
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-12
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The paper considers the single-server Markovian queues with delayed multiple vacations.
Once the system becomes empty, the server will experience a changeover time to begin the vacation.
By using the matrix-geometric solution method, we obtain the stationary probability distribution and the mean queue length under almost unobservable and fully unobservable cases.
Based on the system status information and a linear reward-cost structure reflecting the desire of customers for service and their unwillingness for waiting, the social welfare function is determined.
We also investigate optimal pricing strategies of the server under the ex-postpayment scheme and the ex-antepayment scheme, and we get the customer’s equilibrium strategy under optimal pricing strategy.
Finally, we illustrate the effect of several parameters and information levels on socially optimal strategies and optimal social benefit by numerical examples.
American Psychological Association (APA)
Tian, Ruiling. 2019. Social Optimization and Pricing Strategies in Unobservable Queues with Delayed Multiple Vacations. Mathematical Problems in Engineering،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1195711
Modern Language Association (MLA)
Tian, Ruiling. Social Optimization and Pricing Strategies in Unobservable Queues with Delayed Multiple Vacations. Mathematical Problems in Engineering No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1195711
American Medical Association (AMA)
Tian, Ruiling. Social Optimization and Pricing Strategies in Unobservable Queues with Delayed Multiple Vacations. Mathematical Problems in Engineering. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1195711
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195711