Geom/G_1,G_2/1/1 REPAIRABLE ERLANG LOSS SYSTEM WITH CATASTROPHE AND SECOND OPTIONAL SERVICE  

作　　者：Yinghui TANG Miaomiao YU Cailiang LI 

机构地区：[1]School of Mathematics & Software Science, Sichuan Normal University, Chengdu 610066, China. [2]School of Mathematics & Software Science, Sichuan Normal University, Chengdu 610066, China [3]School of Science, Sichuan University of Science and Engineering, Zigong 643000, China [4]Department of Information and Computer Science, Chengdu Electro-Mechanical College, Chengdu 610032, China.

出　　处：《Journal of Systems Science & Complexity》2011年第3期554-564,共11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.70871084;Specialized Research Fund for the Doctoral Program of Higher Education of China under Grant No. 200806360001;the Scientific Research Fund of Sichuan Provincial Education Department under Grant No.10ZA136

摘　　要：This paper studies a single server discrete-time Erlang loss system with Bernoulli arrival process and no waiting space. The server in the system is assumed to provide two different types of services, namely essential and optional services, to the customer. During the operation of the system, the arrival of the catastrophe will break the system down and simultaneously induce customer to leave the system immediately. Using a new type discrete supplementary variable technique, the authors obtain some performance characteristics of the queueing system, including the steady-state availability and failure frequency of the system, the steady-state probabilities for the server being idle, busy, breakdown and the loss probability of the system etc. Finally, by the numerical examples, the authors study the influence of the system parameters on several performance measures.

关 键 词：CATASTROPHE discrete supplementary variable technique Erlang loss system repairable queueing system second optional service. 

分 类 号：TP368.5[自动化与计算机技术—计算机系统结构] O226[自动化与计算机技术—计算机科学与技术]