TY - JOUR
T1 - STOCHASTIC MONOTONICITY OF THE QUEUE LENGTHS IN CLOSED QUEUEING NETWORKS
AU - Shanthikumar, J. George
AU - Yao, David D.
PY - 1987/7
Y1 - 1987/7
N2 - We study a Gordon-Newell type of closed queueing network that frequently arises in modeling manufacturing and computer systems. We are concerned with the transient and equilibrium behavior of the joint and individual queue lengths in the network when the job population increases. We show that increasing the job population will stochastically increase the queue-length vector process, provided that all stations have nondecreasing service rates. Single and multivariate likelihood ratio orderings are also established for the joint queue lengths in equilibrium. Our results extend the applicability of previously known results in the literature.
AB - We study a Gordon-Newell type of closed queueing network that frequently arises in modeling manufacturing and computer systems. We are concerned with the transient and equilibrium behavior of the joint and individual queue lengths in the network when the job population increases. We show that increasing the job population will stochastically increase the queue-length vector process, provided that all stations have nondecreasing service rates. Single and multivariate likelihood ratio orderings are also established for the joint queue lengths in equilibrium. Our results extend the applicability of previously known results in the literature.
UR - http://www.scopus.com/inward/record.url?scp=0023379194&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0023379194&origin=recordpage
U2 - 10.1287/opre.35.4.583
DO - 10.1287/opre.35.4.583
M3 - RGC 21 - Publication in refereed journal
SN - 0030-364X
VL - 35
SP - 583
EP - 588
JO - Operations Research
JF - Operations Research
IS - 4
ER -
