This note develops two-moment approximations for blocking probabilities in overflow systems with repacking. The approximations are based on fixed point schemes, iteratively relating the arrival rate at the primary channels to the mean number of calls at the overflow channels. The analysis focuses on layered cellular mobile communications networks, but can also be applied to multiple retrial queues sharing a common (finite) orbit. Numerical results show that our approximation is fairly accurate for systems in which the mean repacking rate does not exceed the call arrival rate.

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CWI
CWI. Probability, Networks and Algorithms [PNA]
Stochastics

Borst, S.C, Boucherie, R.J, & Boxma, O.J. (1998). ERMR: a generalised equivalent random method for overflow systems with repacking. CWI. Probability, Networks and Algorithms [PNA]. CWI.