On Equilibrium in a Constant Retrial Queuing System with Reserved Time and Vacations  

作　　者：Lin-Lin Wang Li-Wei Liu Xu-Dong Chai Zhen Wang 

机构地区：[1]School of Science,Nanjing University of Science and Technology,Nanjing,210094,China

出　　处：《Journal of the Operations Research Society of China》2022年第4期785-800,共16页中国运筹学会会刊（英文）

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 idle.Otherwise,if the server is busy or on vacation,customers have to join a retrial orbit and wait for retry.Once a service is completed,the server will reserve a random time to seek a customer from the orbit at a constant retrial rate.If there is no arrivals(from the orbit or outside)during the idle period,to save energy,the server will take a vacation.This paper studies the fully unobservable case.First,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 technique.And then,by introducing an appropriate revenue structure,the equilibrium strategies of customers and the socially optimal strategy are all derived.Furthermore,a comparison between them is made and the effect of some main system parameters is studied.

关 键 词：QUEUING Unobservable Equilibrium strategies Reserved time VACATION Retry 

分 类 号：O226[理学—运筹学与控制论]