TY - JOUR

T1 - Controlling an oscillating Jackson-type network having state-dependent service rates

AU - Arazi, Arnon

AU - Ben-Jacob, Eshel

AU - Yechiali, Uri

PY - 2005/12

Y1 - 2005/12

N2 - 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.

AB - 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.

KW - Control

KW - Dominant probability

KW - Fluid approximation

KW - Oscillations

KW - Queueing networks

UR - http://www.scopus.com/inward/record.url?scp=28544446240&partnerID=8YFLogxK

U2 - 10.1007/s00186-005-0041-5

DO - 10.1007/s00186-005-0041-5

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:28544446240

SN - 1432-2994

VL - 62

SP - 453

EP - 466

JO - Mathematical Methods of Operations Research

JF - Mathematical Methods of Operations Research

IS - 3

ER -