带负顾客、启动期和反馈的M/M/1/N多重工作休假排队系统  

The M/M/1/N multiple working vacation queuing with negative customers,set-up time and feedback

作　　者：师宗梅 吕胜利[1] 袁晶晶[1] 王朋成 

机构地区：[1]燕山大学理学院,河北秦皇岛066004

出　　处：《西北师范大学学报（自然科学版）》2014年第3期18-24,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(71071133);河北省自然科学基金资助项目(G2012203136)

摘　　要：研究了带有正、负顾客且顾客容量有限的M/M/1/N多重休假排队系统,引入不耐烦、空竭服务、反馈和启动期策略,同时假设服务台可能发生故障.利用马尔科夫过程理论建立系统稳态矩阵方程组,并利用矩阵几何解和分块矩阵方法得到了稳态概率的矩阵解,求出了系统稳态下的一些性能指标.最后运用Matlab软件进行数值分析,为系统的优化设计提供参考.This paper studies an M/M/1/N multiple working vacation queuing system with limited capacity , in w hich customers are either “positive” or “negative” , introducing impatient strategy , exhaustive service , feedback and set-up time , simultaneously assuming desk may malfunction . The matrix form solution of steady-state probability is derived by the Markov process method , and the steadystate probability in matrix form is derived by using matrix-geometric solution and block-matrix-solution method , some reliable indices of the steady-state system are given . Finally , the corresponding numerical analysis is made by Matlab ,which would provide a basis for optimal design .

关 键 词：负顾客 启动时间 反馈 工作休假 矩阵几何解 

分 类 号：O26[理学—数学]