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Analysis of an queue operated under the FCFS policy with exact admission control

Das, Sudipta and Jenkins, Lawrence and Sengupta, Debasis (2013) Analysis of an queue operated under the FCFS policy with exact admission control. In: QUEUEING SYSTEMS, 75 (2-4, S). pp. 169-188.

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Official URL: http://dx.doi.org/10.1007/s11134-013-9366-6

Abstract

In this article, we present an exact theoretical analysis of an system, with arbitrary distribution of relative deadline for the end of service, operated under the first come first served scheduling policy with exact admission control. We provide an explicit solution to the functional equation that must be satisfied by the workload distribution, when the system reaches steady state. We use this solution to derive explicit expressions for the loss ratio and the sojourn time distribution. Finally, we compare this loss ratio with that of a similar system operating without admission control, in the cases of some common distributions of the relative deadline.

Item Type: Journal Article
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Additional Information: copyright for this article belongs to Springer
Keywords: Firm real-time system; Real-time queue; Exact admission control; Service time-dependent scheduling; Bounded sojourn time; Loss ratio
Department/Centre: Division of Electrical Sciences > Electrical Engineering
Date Deposited: 01 Nov 2013 09:46
Last Modified: 01 Nov 2013 09:46
URI: http://eprints.iisc.ernet.in/id/eprint/47630

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