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An Extension of Norton's Theorem for Queueing Networks

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2 Author(s)
S. Balsamo ; Istituto di Scienze dell'Informazione, University of Pisa ; G. Iazeolla

Given a closed BCMP queueing network, the problem is considered of studying the behavior of any subsystem a without solving for the entire system. This paper proves that this is possible for a consisting of any number of queues, arbitrarily interfacing the rest of the system, thus generalizing the classic CHW theorem, also known as Norton's theorem. A general flow-equivalent solution procedure is given and its computational complexity is compared with that of the product-form and the exact aggregation procedure. The relative merits of these procedures are also expressed in terms of a's cardinality.

Published in:

IEEE Transactions on Software Engineering  (Volume:SE-8 ,  Issue: 4 )