TY - JOUR
T1 - ON THE RELATIVE WAITING TIMES IN THE GI/M/s AND THE GI/M/1 QUEUEING SYSTEMS.
AU - Yechiali, Uri
PY - 1977
Y1 - 1977
N2 - The average waiting time in a GI/M/s queue was compared with the average waiting time in an ″equivalent″ system comprised of s separate GI/M/1 queues. The results may be used to find the optimal partition of servers into several groups when designing a service system where certain restrictions eliminate the possibility of assigning all the servers in a single parallel group. The results may be qualitatively summarized as follows. If the inter-arrival times for both systems is of the ″same type″ then one would wait, on the average, at least s times as long in the separate system than in the combined one, when rho goes to 1. When rho becomes small the ratio of waiting times goes to infinity.
AB - The average waiting time in a GI/M/s queue was compared with the average waiting time in an ″equivalent″ system comprised of s separate GI/M/1 queues. The results may be used to find the optimal partition of servers into several groups when designing a service system where certain restrictions eliminate the possibility of assigning all the servers in a single parallel group. The results may be qualitatively summarized as follows. If the inter-arrival times for both systems is of the ″same type″ then one would wait, on the average, at least s times as long in the separate system than in the combined one, when rho goes to 1. When rho becomes small the ratio of waiting times goes to infinity.
UR - http://www.scopus.com/inward/record.url?scp=0017415636&partnerID=8YFLogxK
U2 - 10.1057/jors.1977.56
DO - 10.1057/jors.1977.56
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AN - SCOPUS:0017415636
SN - 0160-5682
VL - 28
SP - 325
EP - 337
JO - Operational Research Quarterly
JF - Operational Research Quarterly
IS - 2
ER -