Customer Strategic Joining Behavior in Markovian Queues with Working Vacations and Vacation Interruptions Under Bernoulli Schedule

Qingqing Ma (), Yiqiang Q. Zhao (), Weiqi Liu and Jihong Li
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Qingqing Ma: School of Economics and Management, Shanxi University, Taiyuan 030006, P. R. China
Yiqiang Q. Zhao: School of Mathematics and Statistics, Carleton University, Ottawa K1V 5B6, Canada
Weiqi Liu: Institute of Management and Decision, Shanxi University, Taiyuan 030006, P. R. China4Faculty of Finance and Banking, Shanxi University of Finance and Economics, Taiyuan 030006, P. R. China
Jihong Li: Institute of Management and Decision, Shanxi University, Taiyuan 030006, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2019, vol. 36, issue 01, 1-26

Abstract: This study considers a single-server Markovian working vacation queuing system with Bernoulli vacation interruptions. Based on a linear reward-cost structure, the customer strategic joining behavior is analyzed under different information levels available to the arriving customers, namely fully observable, almost unobservable, and fully unobservable. For these cases, we first obtain the system stationary distribution. Thereafter, we determine the customer equilibrium strategies and compare them numerically with socially optimal strategies.

Keywords: Queuing; working vacations; vacation interruptions; Bernoulli schedule; matrix analytic method (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S0217595919500039

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