Optimal Hysteretic Control for the BMAP/G/1 System with Single and Group Service Modes
Annals of Operations Research
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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© 2002 Kluwer Academic Publishers
Dudin, Alexander N. and Chakravarthy, Srinivas R., "Optimal Hysteretic Control for the BMAP/G/1 System with Single and Group Service Modes" (2002). Industrial & Manufacturing Engineering Publications. 21.