| Issue |
RAIRO-Oper. Res.
Volume 50, Number 1, January-March 2016
|
|
|---|---|---|
| Page(s) | 119 - 129 | |
| DOI | https://doi.org/10.1051/ro/2015019 | |
| Published online | 12 January 2016 | |
Equilibrium balking strategies in the observable Geo/Geo/1 queue with delayed multiple vacations
1 Department of Mathematics and Statistics, Fuyang Normal
College, Fuyang, Anhui 236037, P.R. China.
sgao09@yeah.net
2 Department of Mathematics, Beijing
Jiaotong University, Beijing
100044, P.R.
China
Received:
25
March
2013
Accepted:
5
June
2015
We consider the discrete-time Markovian single-server queue under delayed multiple vacations. Upon arriving, the customers observe the queue length and decide whether to join or balk. We derive equilibrium threshold balking strategies in two cases, according to the information for the server’s state. We also illustrate the equilibrium thresholds and the social benefits for systems via numerical experiments.
Mathematics Subject Classification: 60K25 / 90B22
Key words: Economics of queues / delayed multiple vacations / equilibrium balking strategies / stationary distribution
© EDP Sciences, ROADEF, SMAI 2016
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