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Abstract: In this paper I shall consider a model for the simplest kind of dynamic routeing in a circuit-switched telecommunications network, namely Random Alternative Routeing: if a call cannot be carried on a first-choice route, then a second-choice route is chosen at random from a fixed set of alternatives. This kind of routeing can give rise to several modes of behaviour. For example, the simple model I shall consider can exhibit bistability; the system fluctuates between a low-blocking state, where calls are accepted readily, and a high-blocking state, where the likelihood of a call being accepted can be quite low. I shall describe a method which allows one to study the stability of the two states. In particular, the method allows one to estimate the time for which these states persist.
Acknowledgement: This worked was funded by the Australian Research Council and the University of Queensland.
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Last modified: 26th December 1995