Issue No. 04 - July (1982 vol. 8)
S. Balsamo , Istituto di Scienze dell'Informazione, University of Pisa
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.
queueing theory, Aggregation, computer/communication networks, decomposition, equivalent network, networks of queues
S. Balsamo, G. Iazeolla, "An Extension of Norton's Theorem for Queueing Networks", IEEE Transactions on Software Engineering, vol. 8, no. , pp. 298-305, July 1982, doi:10.1109/TSE.1982.235424