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Optimal hysteretic control for the BMAP/G/1 system with single and group service modes

Annals of Operations Research, ISSN: 0254-5330, Vol: 112, Issue: 1-4, Page: 153-169
2002
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Conference Paper Description

In this paper, we consider a single server queuing model with an infinite buffer in which customers arrive according to a batch Markovian arrival process (BMAP). The services are offered in two modes. In mode 1, the customers are served one at a time and in mode 2 customers are served in groups of varying sizes. Various costs for holding, service and switching are imposed. For a given hysteretic strategy, we derive an expression for the cost function from which an optimal hysteretic control can be obtained. Illustrative numerical examples are presented.

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