摘要
以计算机系统实际应用为背景,提出了带MMPP(Markov modulatedPoissonprocess)到达的两结点休假闭网络。该模型也适用于带反馈的通讯信息系统和有限工位的自适应生产系统等。MMPP是较Erlang分布和PH分布等到达间隔更为广泛的一类马尔可夫到达,将其引进闭路休假排队系统在已有的文献中尚未见报道,因此,该研究无论从实际应用目的还是从理论研究的角度看都是十分有意义的。文中采用了相位分解原理和嵌入马尔可夫更新过程及带指数到达依态策略休假的两结点闭网络分析,求得了所述模型的稳态分布和循环时间。它是用开路模型已有结果来解决相应闭路系统问题的又一个尝试。
Based on the praxes in actual computer systems, we give a twonode closed queueing model with vacation and MMPP (Markovmodulated Poisson process) arrival.The model also fits some communication networks with feedback and a type of selfadapted productive systems with finit jobs, etc.. MMPP arrival is a kind of more widely used Markovian arrival processes (MAPS) than that of Erlangand PHdistributions. Introducing it into the twonode closed queueing systems with vacations is a matter that we have not seen up to now within literatures in hand. Therefore this work is of great significance not only for purpose of actual applications but also for the sake of theoretical research. By use of the phasedecomposition principle, the insert Markovian renewal process, and the analysis of a twonode closed queue with Poisson arrival and state dependent vacation policy, we have got the steady states and the cyclic time of the model. It is an another attampt to solve the problems of this type of closed systems by using the related existing models.
出处
《系统工程学报》
CSCD
2003年第4期363-368,共6页
Journal of Systems Engineering
基金
江苏省自然科学基金资助项目(BK97047)
江苏省教育厅基金资助项目(00KJT110003).
