Optimal Balking Strategies in Single-Server Queues with Erlangian Service and Setup Times

Ping Huang (), Jinting Wang () and Li Fu ()
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Ping Huang: Beijing Jiaotong University
Jinting Wang: Beijing Jiaotong University
Li Fu: Beijing Jiaotong University

A chapter in LISS 2012, 2013, pp 625-630 from Springer

Abstract: Abstract In many service systems arising in OR/MS applications, the server needs a setup time when it is turned on and the service time may be non-Markovian as usually assumed. In the present paper, we study the balking behavior of customers in the single-server queue with two-phase Erlangian service time and setup times. Arriving customers decide whether to enter the system or balk, based on a linear reward-cost structure. We identify equilibrium threshold balking strategies under two distinct information assumptions, i.e. fully observable case and almost observable case.

Keywords: $$ M/{E_2}/1 $$ queue; Setup times; Balking; Equilibrium strategies (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-32054-5_87

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DOI: 10.1007/978-3-642-32054-5_87

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