Stochastic order results and equilibrium joining rules for the Bernoulli Feedback Queue
Brooms, Anthony C. and Collins, E.J. (2013) Stochastic order results and equilibrium joining rules for the Bernoulli Feedback Queue. Working Paper. Birkbeck College, University of London, London, UK.
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Abstract
We consider customer joining behaviour for a system that consists of a FCFS queue with Bernoulli feedback. A consequence of the feedback characteristic is that the sojourn time of a customer already in the system depends on the joining decisions taken by future arrivals to the system. By establishing stochastic order results for coupled versions of the system, we establish the existence of homogeneous Nash equilibrium joining policies for both single and multiple customer types which are distinguished through distinct quality of service preference parameters. Further, it is shown that for a single customer type, the homogeneous policy is unique.
Metadata
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | BWPEF 1305, ISSN: 1745-8587 |
| Keyword(s) / Subject(s): | FCFS queue with Bernoulli feedback, coupling, Nash equilibrium, multiple customer types |
| School: | Birkbeck Faculties and Schools > Faculty of Science > School of Computing and Mathematical Sciences |
| Depositing User: | Administrator |
| Date Deposited: | 04 Oct 2013 11:58 |
| Last Modified: | 09 Aug 2023 12:34 |
| URI: | https://eprints.bbk.ac.uk/id/eprint/8363 |
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