ISSN:
1572-9443
Keywords:
Hybrid switching system
;
randomly varying service rate
;
structural matrices of M/G/1 type
;
heavy traffic
Source:
Springer Online Journal Archives 1860-2000
Topics:
Computer Science
Notes:
Abstract In the classical model of a hybrid switching system with movable boundary it is assumed that blocked voice messages are lost and do not affect the further functioning of the system. We describe a more realistic model where blocked voice messages are queued and then are served once a channel becomes free. The main mathematical difficulty in the analysis of such models lies in the fact that the underlying stochastic process has as state space the whole quadrant ℤ + 2 . We reduce the problem to a set of equations defined over the lattice semi-strip {1,...,N} × ℤ+. This in turn allows us to use available general mathematical theories.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01158948
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