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Feedback queues with preemption-distance priorities

Published: 01 April 1989 Publication History

Abstract

The method of moments is used to derive exact analytical solutions for an open priority queueing system with preemption-distance priorities and feedback. Customers enter from outside in a Poisson stream. They can feed back for several times, changing priorities and service demands in an arbitrary manner. During feedback they can fork and branch according to user-defined probabilities. The service demands of the different classes are pairwise independent and can be arbitrarily distributed. A customer who has been interrupted resumes his service from the point where he was interrupted (preemptive resume). A system of linear equations is to be solved to obtain the mean sojourn times of each customer class in the system.

References

[1]
V. Altaminaro, B. Fontana: Models to Evaluate Response Times in Single-Processor Systems and their Apllication to a Multiprocessor System, Proc. 12. International Teletraffic Congress, Torino, Italy, June 88, 4.3A5.1-10.
[2]
A. Cobham: Priority Assignments in Waiting Line Problems, Operations Ressearch 2, 70-76, 1954.
[3]
J. Daigle, C.E. Houstis: Analysis of a Task Oriented Multipriority Queueing System, IEEE Transactions on Comm., Vol. 29, No. 11, 1669-1677, 1981.
[4]
T.W. Gay, P.H. Seaman: Composite Priority Queues, IBM Journal of Research and Developement, Vol. 19, 7881, 1975.
[5]
F. Halsall: Data Communications, Computer Networks and OSI, 2nd ed., Addison-Wesley, 1988.
[6]
U. Herzog: Verkehrsfluß in Datennetzen, habilitation thesis, University of Stuttgart, 1973 (in German).
[7]
U. Henog: Optimal Scheduling Strategies for Real-Time-Computers, IBM Journal of Research and Developement, Vol. 19, 494-504, 1975.
[8]
U. Herzog: Priority Models for Communication Processors Including System Overhead, International Telegraffic Congress 8, Melbourne, 6231 1-623/7,1976.
[9]
U. Henog: Flexible Networks of Tightly and Loosely Coupled Processors, Proc. Teletraffic Analysis and Computer Performance Evaluation, O.J. Boxma et al. (ed.), North-Holland, 439-446, 1986.
[10]
W.S. Jewell: A Simple Proof of Q = ?W, Oper. Res. 15, 1109-1116, 1967.
[11]
L. Kleinrock: Queueing Systems Volume I: Theory, John Wiley & Sons, New York, 1975.
[12]
L. Kleinrock: Queueing Systems Volume II: Computer Applications, John Wiley & Sons, New York, 1976.
[13]
M. Paterok, O. Fischer: Feedback Queues with Preemption-Distance Priorities, Technical Report, Institute for Mathematical Machines and Data Processing VII, University of Erlangen-Nuremberg, 1988.
[14]
M. Paterok, O. Fischer: Feedback Queues with Preemption-Distance Priorities, Bulk Arrivals, Forking and Branching, Technical Report, Institute for Mathematical Machines and Data Processing VII, University of Erlangen-Nuremberg, 1989.
[15]
L.E. Schrage: The Queue M/G/1 with Feedback to Lower Priority Queues, Management Science, Vol.13 No.7, 466-474, 1967.
[16]
B. Simon: Priority Queues with Feedback, JACM, Vol. 31 No. 1, 134-149, 1984.
[17]
R.W. Wolff: Poisson Arrivals see Time Averages, Operations Research, Vol. 20, 4, 223-231, 1982.

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Published In

cover image ACM SIGMETRICS Performance Evaluation Review
ACM SIGMETRICS Performance Evaluation Review  Volume 17, Issue 1
May 1989
209 pages
ISSN:0163-5999
DOI:10.1145/75372
Issue’s Table of Contents
  • cover image ACM Conferences
    SIGMETRICS '89: Proceedings of the 1989 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
    April 1989
    242 pages
    ISBN:0897913159
    DOI:10.1145/75108
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 April 1989
Published in SIGMETRICS Volume 17, Issue 1

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