Title :
A closed queueing network of counting processes
Author :
Yao, D.D. ; Shanthikumar, J.
Author_Institution :
Harvard University, Cambridge, MA
Abstract :
We study a general closed queueing network, where the service processes are characterized by point processes and their (stochastic) intensities. We show that given any time t, the joint queue-length vector has a probability distribution that is determined, through a system of differential equations (of Kolmogorov type), by the conditional service intensities. Various applications of this result are outlined.
Keywords :
Differential equations; Probability distribution; State-space methods; Stochastic systems; Transient analysis;
Conference_Titel :
Decision and Control, 1987. 26th IEEE Conference on
Conference_Location :
Los Angeles, California, USA
DOI :
10.1109/CDC.1987.272453
