ACCEPTANCE INSTANT DISTRIBUTIONS IN PRODUCT-FORM CLOSED QUEUING-NETWORKS WITH BLOCKING

Arrival Instant Theorem is one of the most important theoretical resul ts established in the studies of classical product-form queueing netwo rks. Closed queueing networks with blocking have been shown to have pr oduct-form equilibrium distributions in certain cases, e.g. with repet itive service blocking mechanism. In this paper, theoretical results o n acceptance instant distribution which is defined as queue length dis tribution of such networks seen by a customer at the instant of its ac ceptance to a service node are established and their extensions discus sed.