A DISCRETE-TIME Geo/G/1 RETRIAL QUEUE WITH J-VACATION POLICY AND GENERAL RETRIAL TIMES  

作　　者：YUE Dequan ZHANG Feng 

机构地区：[1]College of Science,Yanshan University [2]College of Economics and Management,Yanshan University [3]College of Science,North University of China

出　　处：《Journal of Systems Science & Complexity》2013年第4期556-571,共16页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.71071133

摘　　要：The authors discuss a discrete-time Geo/G/1 retrial queue with J-vacation policy and general retrial times.As soon as the orbit is empty,the server takes a vacation.However,the server is allowed to take a maximum number J of vacations,if the system remains empty after the end of a vacation.If there is at least one customer in the orbit at the end of a vacation,the server begins to serve the new arrivals or the arriving customers from the orbit.For this model,the authors focus on the steady-state analysis for the considered queueing system.Firstly,the authors obtain the generating functions of the number of customers in the orbit and in the system.Then,the authors obtain the closed-form expressions of some performance measures of the system and also give a stochastic decomposition result for the system size.Besides,the relationship between this discrete-time model and the corresponding continuous-time model is also investigated.Finally,some numerical results are provided.

关 键 词：DISCRETE-TIME generating function J-vacation policy Markov chain retrial queue. 

分 类 号：O226[理学—运筹学与控制论] TP273[理学—数学]