J. Korean Math. Soc. 1998; 35(3): 539-557
Printed September 1, 1998
Copyright © The Korean Mathematical Society.
M. S. Bebbington, P. K. Pollett, and I. Ziedins
Massey University, The University of Queensland and University of Auckland
This paper is concerned with the performance evaluation of loss networks. We shall review the {\it Erlang Fixed Point\/} (EFP) method for estimating the blocking probabilities, which is based on an assumption that links are blocked independently. For networks with linear structure, the behaviour of adjacent links can be highly correlated. We shall give particular attention to recently-developed fixed-point methods which specifically account for the dependencies between neighbouring links. For the network considered here, namely a ring network with two types of traffic, these methods produce relative errors typically $10^{-5}$ of that found using the basic EFP approximation.
Keywords: blocking probabilities, Erlang's formula
MSC numbers: primary 60K30, secondary 60K35; 90B12
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd