Optimal Design for a Retrial Queueing System with State-Dependent Service Rate  

作　　者：ZHANG Xuelu WANG Jinting MA Qing 

机构地区：[1]Department of Mathematics, Beijing Jiaotong University [2]School of Science, Qilu University of Technology [3]Department of Basic Courses, Shandong Women’s University

出　　处：《Journal of Systems Science & Complexity》2017年第4期883-900,共18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 Nos.71571014 and 71390334

摘　　要：This paper considers a single server retrial queue in which a state-dependent service policy is adopted to control the service rate. Customers arrive in the system according to a Poisson process and the service times and inter-retrial times are all exponentially distributed. If the number of customers in orbit is equal to or less than a certain threshold, the service rate is set in a low value and it also can be switched to a high value once this number exceeds the threshold. The stationary distribution and two performance measures are obtained through the partial generating functions. It is shown that this state-dependent service policy degenerates into a classic retrial queueing system without control policy under some conditions. In order to achieve the social optimal strategies, a new reward-cost function is established and the global numerical solutions, obtained by Canonical Particle Swarm Optimization algorithm, demonstrate that the managers can get more benefits if applying this state-dependent service policy compared with the classic model.

关 键 词：Particle swarm optimization algorithm retrial queues social optimal strategy statedependent service policy 

分 类 号：O226[理学—运筹学与控制论] TP393.08[理学—数学]