Markovian Controllable Queueing Systems with Hysteretic Policies: Busy Period and Waiting Time Analysis

J. R. Artalejo () and A. Economou ()
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J. R. Artalejo: Complutense University of Madrid
A. Economou: University of Athens

Methodology and Computing in Applied Probability, 2005, vol. 7, issue 3, 353-378

Abstract: Abstract We study Markovian queueing systems in which the service rate varies whenever the queue length changes. More specifically we consider controllable queues operating under the so-called hysteretic policy which provides a rather versatile class of operating rules for increasing and decreasing service rate at the arrival and service completion times. The objective of this paper is to investigate algorithmically the busy period and the waiting time distributions. Our analysis supplements the classical work of Yadin and Naor (1967) who focused on the steady-state probabilities of the system state.

Keywords: queueing; hysteretic policy; busy period; waiting time; removable servers (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1007/s11009-005-4522-z

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