摘要
研究了服从负指数分布的N级串联开排队网络系统,采用递推的方式给出了高维马尔可夫过程的转移矩阵,并利用矩阵分析方法得到了系统达到稳态所应满足的充分必要条件。
N-node tandem open queueing network system with exponent distribution is analyzed in this paper. The generater matrix of Markov process is given in recurrence formulate. The sufficient-necessity condition for the system stability and the distribution of stationary queue length is obtained by means of matrix analysis. Since the of matrix and recursion is easy to perform on computers, the conclusions of this paper can be conveniently operation applied.
出处
《河北理工大学学报(自然科学版)》
CAS
2007年第4期125-128,共4页
Journal of Hebei Polytechnic University(Natural Science Edition)
关键词
运筹学
串联排队网络
MARKOV过程
拟生灭过程
矩阵分析
operation research
tandem open queueing network
Markov processes
quasi birth and death processes
matrix analysis
