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https://hdl.handle.net/2440/558
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Type: | Journal article |
Title: | A new perspective on the normalization of invariant measures for loss networks and other product form systems |
Author: | Bean, N. Stewart, M. |
Citation: | Mathematical and Computer Modelling, 2000; 31(10-12):47-54 |
Publisher: | Pergamon-Elsevier Science Ltd |
Issue Date: | 2000 |
ISSN: | 0895-7177 |
Abstract: | Loss networks have proved to be a vital tool in the study of telecommunication networks, computer performance, and resource allocation problems. For a large subset of these models, the invariant measure is of a product form. The existence of efficient procedures to normalize a product-form invariant measure is essential for analysis of the underlying system. Choudhury et al. [1-4] have recently presented a number of algorithms based upon Fourier analysis for the normalization of product-form invariant measures for specific systems. Bean and Stewart [5] discussed related work for the normalization of product-form invariant measures for closed queueing networks. In this paper, we present a simple unifying framework within which to study these algorithms. This framework is significant as it suggests a number of extensions to these algorithms and simplifies their derivation. (C) 2000 Elsevier Science Ltd. |
DOI: | 10.1016/S0895-7177(00)00071-6 |
Published version: | http://dx.doi.org/10.1016/s0895-7177(00)00071-6 |
Appears in Collections: | Applied Mathematics publications Aurora harvest 5 Environment Institute publications |
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