Ng. Bean et Ma. Stewart, A new perspective on the normalization of invariant measures for loss networks and other product form systems, MATH COMP M, 31(10-12), 2000, pp. 47-54
Loss networks have proved to be a vital tool in the study of telecommunicat
ion 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 meas
ures for specific systems. Bean and Stewart [5] discussed related work for
the normalization of product-form invariant measures for closed queueing ne
tworks. In this paper, we present a simple unifying framework within which
to study these algorithms. This framework is significant as it suggests a n
umber of extensions to these algorithms and simplifies their derivation. (C
) 2000 Elsevier Science Ltd. All rights reserved.