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Purdue University

Purdue e-Pubs Computer Science Technical Reports

Department of Computer Science

1981

The Response Times of Priority Classes under Preemptive Resume in M/G/m Queues A. B. Bondi J. P. Buzen Report Number: 81-404

Bondi, A. B. and Buzen, J. P., "The Response Times of Priority Classes under Preemptive Resume in M/G/m Queues" (1981). Computer Science Technical Reports. Paper 331. http://docs.lib.purdue.edu/cstech/331

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The Respdnse Tim.es of Priority Classes under

Preemptive Resume in M/G/m Queues· AB. Bondi Department of Computer Sciences, Purdue University, West Lafayette, Indiana J,P. Buzen BGS Systems, Inc., Waltham, Massachusetts CSD-TR No. 404, November 1982 Revised July 1983

ABSTRACT Approximations are given for the mean response times of each prIority level in a two·class multi-server M/G/m queue operattng under preemptive reswne scheduling, The results have been tested against s1mulatlons for different numbers of servers.

The Response Times of Priority Classes under Preemptive Resume in MIGlm Queues • A.B. Bondi Department of Computer Sciences, Purdue University, West Lafayette. Indiana J,P. Buzan

BGS Systems, Inc., Waltham. Massachusetts CSD-TR No. 404. November 1982 Revised July 1983

Introduction Many computer systems have central processing units which are allocated to jobs for short bursty periods whose durations have arbitrary distributions. Jobs at low

priority levels may be preempted by those at higher ones, and the mean burst size may be difl'erent at each priority level. This note examines the queueing delays of jobs at

two priority levels subject to preemptive resume scheduling. In a recent paper, Buzen and Bondi (1983) [3] derived approximate expressions for the mean response times of each priority level in an M/M/m preemptive priority queue. These approximations have been found to agree with the exact results for two class systems of Mitrani and King [8] as well as with simulation results for three classes

• This '\I."ork wa.s sUppori.ed in part by NSF grant nwnber 1I(:S78-01729, Author:;' addresses: A.B. Bondi, Dept. of Computer Sciences, Purdue University, West Luf