1,721,058 research outputs found

    An Extension of Norton's Theorem for Queueing Networks

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    Given a closed BCMP queueing network, the problem is considered of studying the behavior of any subsystem σ without solving for the entire system. This paper proves that this is possible for σ 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 σ's cardinality. Copyright © 1982 by The Institute of Electrical and Electronics Engineers, Inc

    Decomposability for General Markovian Networks

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    The conditions under which queueing networks with general service times enjoy the property of near complete decomposability are discussed, and the expression is given (in terms of the network topology) of a new condition for network decomposability
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