Equilibrium Joining Strategies in the Geo / Geo K /1 Queueing System

Zaiming Liu, Can Cao and Shan Gao
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Zaiming Liu: School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, China
Can Cao: School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, China
Shan Gao: Department of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, Anhui, China

Mathematics, 2019, vol. 7, issue 11, 1-16

Abstract: We study strategic behavior in the G e o / G e o K / 1 queueing system under both fully observable case and fully unobservable case. Furthermore, equilibrium and socially optimal strategies are obtained according to the available information and the linear utility function. We compare the impact of system parameters on the equilibrium strategies and socially optimal strategies. At the same time, we illustrate the effects of parameters on the obtained equilibrium social benefit. Finally, some numerical examples are presented.

Keywords: Geo / Geo K /1 queue; batch services; strategic customers; socially optimal strategies; equilibrium strategies (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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