摘要
这份报纸学习一个单身的服务器有 Bernoulli 到达过程和没有等待的空格的分离时间的厄兰损失系统。在系统的服务者被假定提供服务的二种不同类型，也就是必要、可选的服务，到顾客。在系统的操作期间，大祸的到达将毁坏系统并且同时劝诱顾客立即离开系统。用一种新类型分离增补可变技术，作者获得排队系统的一些性能特征包括不变的可获得性和系统的失败频率，为是闲散的服务器，的不变的可能性忙碌，故障和系统等等的损失概率。由数字例子，最后，作者在几项表演措施上学习系统参数的影响。
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.
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
关键词
排队系统
服务器
损耗
灾难
离散时间
稳态概率
变量技术
性能特点
Catastrophe, discrete supplementary variable technique, Erlang loss system, repairable queueing system, second optional service.
