Controlling an oscillating Jackson-type network having state-dependent service rates

Arnon Arazi, Eshel Ben-Jacob and Uri Yechiali ()

Mathematical Methods of Operations Research, 2005, vol. 62, issue 3, 453-466

Abstract: We consider a Jackson-type network comprised of two queues having state-dependent service rates, in which the queue lengths evolve periodically, exhibiting noisy cycles. To reduce this noise a certain heuristic, utilizing regions in the phase space in which the system behaves almost deterministically, is applied. Using this heuristic, we show that in order to decrease the probability of a customers overflow in one of the queues in the network, the server in that same queue – contrary to intuition – should be shut down for a short period of time. Further noise reduction is obtained if the server in the second queue is briefly shut down as well, when certain conditions hold. Copyright Springer-Verlag 2005

Keywords: Queueing networks; Oscillations; Fluid approximation; Control; Dominant probability (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00186-005-0041-5

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