Geodesic
Equilibrium balking strategies in the observable Geo/Geo/1 queue with delayed multiple vacations
Gao, Shan1 ; Wang, Jinting2
1 Department of Mathematics and Statistics, Fuyang Normal College, Fuyang, Anhui 236037, P.R. China.
2 Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P.R. China
RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 1, pp. 119-129

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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.

Reçu le :
Accepté le :
DOI : 10.1051/ro/2015019
Classification : 60K25, 90B22
Keywords: Economics of queues, delayed multiple vacations, equilibrium balking strategies, stationary distribution

Gao, Shan 1 ; Wang, Jinting 2

1 Department of Mathematics and Statistics, Fuyang Normal College, Fuyang, Anhui 236037, P.R. China.
2 Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P.R. China 
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     title = {Equilibrium balking strategies in the observable {Geo/Geo/1} queue with delayed multiple vacations},
     journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
     pages = {119--129},
     publisher = {EDP-Sciences},
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Gao, Shan; Wang, Jinting. Equilibrium balking strategies in the observable Geo/Geo/1 queue with delayed multiple vacations. RAIRO - Operations Research - Recherche Opérationnelle, Tome 50 (2016) no. 1, pp. 119-129. doi: 10.1051/ro/2015019

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