TY - JOUR
T1 - Distribution of the workload in multiclass queuing systems with server vacations
AU - Boxma, O.J.
AU - Takagi, H.
AU - Takine, T.
PY - 1992
Y1 - 1992
N2 - The steady-state workload at an arbitrary time is considered for several singleserver
queueing systems with nonpreemptive services for multiple classes of customers
(arriving according to Poisson processes) and server vacation (switchover) times. The distribution of the workload at an arbitrary point during the vacation period is obtained for systems with setup times, and for polling systems with exhaustive, gated, or globally gated service disciplines. From the stochastic decomposition property, this workload is added to the workload in the corresponding M/G/1 system without vacations to give the workload at an arbitrary time in vacation systems. Dependenee of the workload distribution on the vacation parameters is studied.
AB - The steady-state workload at an arbitrary time is considered for several singleserver
queueing systems with nonpreemptive services for multiple classes of customers
(arriving according to Poisson processes) and server vacation (switchover) times. The distribution of the workload at an arbitrary point during the vacation period is obtained for systems with setup times, and for polling systems with exhaustive, gated, or globally gated service disciplines. From the stochastic decomposition property, this workload is added to the workload in the corresponding M/G/1 system without vacations to give the workload at an arbitrary time in vacation systems. Dependenee of the workload distribution on the vacation parameters is studied.
U2 - 10.1002/1520-6750(199202)39:1<41::AID-NAV3220390104>3.0.CO;2-K
DO - 10.1002/1520-6750(199202)39:1<41::AID-NAV3220390104>3.0.CO;2-K
M3 - Article
SN - 0894-069X
VL - 39
SP - 41
EP - 52
JO - Naval Research Logistics
JF - Naval Research Logistics
ER -