Stochastic decompositions in the M/G/1 queue with generalized vacations. (English) Zbl 0585.90033

Fuhrmann, S. W.; Cooper, Robert B.

Oper. Res. 33, 1117-1129 (1985).

The authors show that the M/G/1 decomposition property holds for all M/G/1 queueing models of a quite general form. Also complex M/G/1 models can be easily solved as per propositions 2 and 3 given in this paper. This work has its direct application to telecommunication systems.

Reviewer: R.K.Verma

MSC:

90B22	Queues and service in operations research
60K25	Queueing theory (aspects of probability theory)

Keywords:

stochastic decompositions; generalized vacations; M/G/1 decomposition property; telecommunication systems