On Equilibrium in a Constant Retrial Queuing System with Reserved Time and Vacations
作者机构：School of ScienceNanjing University of Science and TechnologyNanjing210094China
出 版 物：《Journal of the Operations Research Society of China》 (中国运筹学会会刊（英文）)
年 卷 期：2022年第10卷第4期
页 面：785-800页
核心收录：
学科分类：12[管理学] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070105[理学-运筹学与控制论] 0701[理学-数学]
基 金：National Natural Science Foundation of China NNSFC NNSF NSF NSFC (61773014)
主 题：Queuing Unobservable Equilibrium strategies Reserved time Vacation Retry
摘 要：This paper investigates an M/M/1 constant retrial queue with reserved time and vacations.A new arriving customer will take up the server and accept service immediately if the server is ***,if the server is busy or on vacation,customers have to join a retrial orbit and wait for *** a service is completed,the server will reserve a random time to seek a customer from the orbit at a constant retrial *** there is no arrivals(from the orbit or outside)during the idle period,to save energy,the server will take a *** paper studies the fully unobservable ***,the steady-state condition of the system is analyzed by using the Foster’s criterion,and the customers’expected waiting time is obtained based on the generating function *** then,by introducing an appropriate revenue structure,the equilibrium strategies of customers and the socially optimal strategy are all ***,a comparison between them is made and the effect of some main system parameters is studied.
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