Workload and waiting time analyses of MAP/G/1 queue under D-policy

We study the workload (unfinished work) and the waiting time of the queueing system with MAP arrivals under D-policy. The D-policy stipulates that the idle server begin to serve the customers only when the sum of the service times of all waiting customers exceeds some fixed threshold D. We first set up the system equations for workload and obtain the steady-state distributions of workloads at an arbitrary idle and busy points of time. We then proceed to obtain the waiting time distribution of an arbitrary customer based on the workload results. The M/G/1/D-policy queue will be investigated as a special case.
Publisher
SPRINGER
Issue Date
2004-11
Language
ENG
Keywords

M/G/1 QUEUE; OPTIMALITY; VACATIONS; SYSTEMS; SERVER

Citation

QUEUEING SYSTEMS, v.48, pp.421 - 443

ISSN
0257-0130
DOI
10.1023/B:QUES.0000046584.19533.4b
URI
http://hdl.handle.net/10203/1632
Appears in Collection
IE-Journal Papers(저널논문)
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