摘要
考虑了重试时间为指数分布且两个服务器的服务率不同的M/M/2重试排队.通过矩阵分析方法,把模型转化为一个与水平相依的拟生灭过程,从而更有利于算法实现.得到了稳态概率分布和重试空间中的平均人数等排队指标,并且通过数值算例将到达率等参数对系统人数分布的影响显示出来.
This paper concerns an M/M/2 retrial queue where the retrial time has an exponential distribution and two servers＇ service rates are different. By using the matrix analytic method, this model is formulated as a level-dependent Quasi-Birth-and-Death （QBD） process which makes the model much more algorithmically tractable. Several performance measures such as the stationary probability distribution and the expected number of customers in the orbit are obtained, and finally the effects of some varying parameters on the system are shown by some numerical results.
出处
《北京交通大学学报》
CAS
CSCD
北大核心
2007年第6期100-103,共4页
JOURNAL OF BEIJING JIAOTONG UNIVERSITY
基金
国家自然科学基金资助项目(10526004
60504016)
教育部留学回国人员科研启动基金资助项目
北京交通大学科技基金资助项目(2005SM064)
关键词
算法分析
重试排队
异步服务
矩阵分析方法
algorithmic analysis
retrial queues
heterogeneous servers
matrix analytic method
