摘要
针对由负顾客到达而引起的服务速率变化情况,研究服务速率可变的MG1排队系统。服务规则假设为FCFS,负顾客的到达一方面移除了正接受服务的正顾客,另一方面使服务台服务速率产生变化。运用补充变量法、状态转移分析法得到稳态下的偏微分方程组,变换求解方程,得到系统在各个状态下的概率表达式及稳态条件下队长母函数的概率表达式。
In this paper,we studied a variable rate of an M/G/1 repairable queuing system,when the service rate changed by the arrival of the negative customer. We assumed the service rules as FCFS,the negative customers＇ arrival offset a positive customer who is receiving service,and makes the service rate variable as well. By using the supplemental variable method and state transfer analysis,the partial differential equations was obtained,then solving equations by L- Z transformation; finally the probability of expression in each state and the captain of the generating function of the steady state has been obtained.
出处
《重庆科技学院学报（自然科学版）》
CAS
2016年第2期128-132,共5页
Journal of Chongqing University of Science and Technology：Natural Sciences Edition
基金
国家自然科学基金项目"具有不耐烦行为和排号机制的排队系统性能分析"(71071133)
关键词
负顾客
可修排队
补充变量法
概率母函数
negative customer
repairable queuing system
supplemental variable method
probability generating function
