Performance of a Nonblocking Space-Division Packet Switch with Two Kinds of Correlated Input Calls

Shigeki SHIOKAWA  Iwao SASASE  

Publication
IEICE TRANSACTIONS on Communications   Vol.E78-B   No.3   pp.414-419
Publication Date: 1995/03/25
Online ISSN: 
DOI: 
Print ISSN: 0916-8516
Type of Manuscript: LETTER
Category: Communication Networks and Service
Keyword: 
communication networks,  services,  

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Summary: 
The performance of a nonblocking switch with two kinds of correlated input calls is analyzed. We define two kinds of calls as the waiting call and the immediate call, and assume that the immediate call has the priority over the waiting call. If the traffic density of one kind of calls is larger than maximum throughput, the ratio of the corresponding kind of calls to the total traffic must be restrained in some range. We derive the maximum ratio of the waiting call by using two approximate methods. The effects of traffic densities and transition probabilities of two kinds of calls on the maximum ratio of the waiting call are also considered. It is shown that, if the traffic density of the immediate call is smaller than that of the waiting call, our approximate methods are useful to derive the maximum ratio of the waiting call to the total traffic.