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On a multi-channel queue with state dependent input flow and interruptions

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  • Jewgeni Dshalalow

Abstract

This paper deals with a multi-channel queueing system with a finite waiting room but without losses. The latter is achieved by a temporary interruption of the input flow activity until the waiting room is ready to place a new customer. In addition, the input flow on its busy period is non-recurrent: It is state dependent and may be controlled over relevant times of decision making. A similar model without interruptions (i.e. with losses) was earlier studied by the author, where in particular, major probability characteristics of the queueing process in equilibrium were obtained. Now the author derives a simple explicit relation between the two models allowing the given queue to inherit the results previously obtained. New techniques for semi-regenerative processes are used.

Suggested Citation

  • Jewgeni Dshalalow, 1989. "On a multi-channel queue with state dependent input flow and interruptions," International Journal of Stochastic Analysis, Hindawi, vol. 2, pages 1-6, January.
    • Handle: RePEc:hin:jnijsa:481079
    DOI: 10.1155/S1048953389000158
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