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Strongly Convex Functions of Higher Order Involving Bifunction
Open AccessArticle

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

by Zaiming Liu 1, Can Cao 1,2,* and Shan Gao 3
1
School of Mathematics and Statistics, Central South University, Changsha 410083, Hunan, China
2
College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan, China
3
Department of Mathematics and Statistics, Fuyang Normal University, Fuyang 236037, Anhui, China
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(11), 1029; https://doi.org/10.3390/math7111029
Received: 13 October 2019 / Revised: 27 October 2019 / Accepted: 28 October 2019 / Published: 1 November 2019
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. View Full-Text
Keywords: Geo/GeoK/1 queue; batch services; strategic customers; socially optimal strategies; equilibrium strategies Geo/GeoK/1 queue; batch services; strategic customers; socially optimal strategies; equilibrium strategies
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Liu, Z.; Cao, C.; Gao, S. Equilibrium Joining Strategies in the Geo/GeoK/1 Queueing System. Mathematics 2019, 7, 1029.

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