摘要
本文在带有负顾客的M/M/1/N多重工作休假排队系统的背景下,同时引入了不耐烦和反馈策略后进行了研究。首先利用马尔可夫过程方法给出了稳态下概率满足的方程组,接着利用矩阵理论求出了稳态下矩阵形式的概率解,并得到了稳态下的队长均值、等待队长均值等一些性能指标。最后,利用数值模拟分析了系统参数对平均队长的影响。
In this paper, the renege and feedback are introduced to an multiple working vacation queuing system with negative customers. Firstly, equations for steady - state probability are given by the Markov process method. Subsequently, by using matrix theory, the matrix form solution of steady - state probability is derived ; some performance indicators of the system such as the steady -state average queue length, waiting queue length in the system are also obtained. Finally, the effects of the system parameters on the expected queue length are investigated by numerical simulation.
出处
《淮阴工学院学报》
CAS
2017年第1期95-100,共6页
Journal of Huaiyin Institute of Technology
关键词
负顾客
中途退出
反馈
多重工作休假
矩阵几何解法
negative customers
renege
feedback
multiple working vacations
matrix - geometric solution
