摘要
本文研究了具有负顾客和抢占反馈机制的非空竭服务随机休假的M/G/1排队系统.正顾客以某种概率抢占和反馈.负顾客移除一个正在接受服务的正顾客.通过构造一个具有吸收态的马尔可夫链求得了系统稳态存在的充分必要条件.利用补充变量法求得了在稳态下系统队长的概率母函数,进而计算出稳态下系统的平均队长.最后我们还给出了一个数值实例.
In this paper,we consider an M/G/1 queue with negative customers,preeptive resume and random vacation on non-exhaustive service.Positive customers may preenptive resume service and feedback with some probability,Negative customers remove the customer being in service.The necessary and sufficient condition for the system stability is obtained by constructing a Markov chain with a absorb state.The steady-state probability generation functions of the number of customer in the system are derived with the method of supplementary variables,then the mean number of customers in the system is obtained.At last we give a numerical example.
出处
《应用数学》
CSCD
北大核心
2010年第2期244-251,共8页
Mathematica Applicata
基金
国家自然科学基金资助项目(10971230)
湖南省研究生创新基金资助项目(334074236000001)
关键词
随机运筹学
抢占和反馈
负顾客
随机休假
马尔可夫链
Stochastic operations research
Preemptive resume and feedback
Negative customer
Random vacation
Markov chain.
