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A FLUID LIMIT FOR PROCESSOR-SHARING QUEUES WEIGHTED BY FUNCTIONS OF REMAINING AMOUNTS OF SERVICE

Published online by Cambridge University Press:  26 December 2019

Yingdong Lu Open the ORCID record for Yingdong Lu [Opens in a new window]
Yingdong Lu*
Affiliation:
IBM T.J. Watson Research Center, Yorktown Heights, NY 10598, USA E-mail: [email protected]
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Abstract

We study a single server queue under a processor-sharing type of scheduling policy, where the weights for determining the sharing are given by functions of each job's remaining service (processing) amount, and obtain a fluid limit for the scaled measure-valued system descriptors.

Keywords

applied probabilityqueueing theory
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 396 - 403
Copyright
© Cambridge University Press 2019

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