Equilibrium customer behavior in the M/M/1 retrial queue with working vacations and a constant retrial rate

Nam H. Do, Tien Do () and Agassi Melikov
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Nam H. Do: Budapest University of Technology and Economics
Tien Do: Budapest University of Technology and Economics
Agassi Melikov: Institute of Cybernetics National Academy of Sciences of Azerbaijan

Operational Research, 2020, vol. 20, issue 2, No 6, 627-646

Abstract: Abstract In this paper, we investigate the M/M/1 retrial queue with working vacations and a constant retrial rate. In the queue, customers decide about the entry based on the information upon their arrival instants. Scenarios regarding the availability of information (i.e., the server is occupied or not, and the server is on the vacation or not) for customers are compared. We derive the closed form solution for the stationary probabilities of the queue. Social optimizing and Nash equilibrium strategies for joining the system are investigated. Based on numerical results, the social benefit rate is best when customers know all information about the server.

Keywords: Retrial queue; Vacations; Strategic behavior (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12351-017-0369-7

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