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A comparison of list schedules for parallel processing systems

Published: 01 December 1974 Publication History

Abstract

The problem of scheduling two or more processors to minimize the execution time of a program which consists of a set of partially ordered tasks is studied. Cases where task execution times are deterministic and others in which execution times are random variables are analyzed. It is shown that different algorithms suggested in the literature vary significantly in execution time and that the B-schedule of Coffman and Graham is near-optimal. A dynamic programming solution for the case in which execution times are random variables is presented.

References

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Coffman, E. G., and Denning, P. J. Operating Systems Theory. Prentice-Hall, Englewood Cliffs, N.J. (to be published).
[2]
Ramamoorthy, C.V., Chandy, K.M., and Gonzalez, M.J. Jr. Optimal scheduling strategies in a multi-processor system. IEEETrans. Comp. C-21, 2 (Feb. 1972), 137-146.
[3]
Ramamoorthy, C.V., and Gonzalez, M.J. Jr. A survey of techniques for recognizing parallel processable streams in computer programs. Proc. AFIPS 1969 FJCC, Vol. 35, AFIPS Press, Montvale, N.J., pp. 1-17.
[4]
Fernandez, E.B., and Bussell, B. Bounds on the number of processors and time for multiprocessor optimal schedules. IEEE Trans. Comp., C-22, 8 (Aug. 1973), 745-751.
[5]
Chandy, K.M., and Dickson, J.R. Scheduling unidentical processors in a stochastic environment. Proc. COMPCON '72, 1972, pp. 171-174.
[6]
Coffman, E.G., and Graham, R.L. Optimal scheduling for two-processor systems. Acta Informatica, 1, 3 (1972), 200--213.
[7]
Graham, R.L. Bounds for certain multiprocessing anomalies. Bell Syst. Tech. J. (Nov. 1966), 1563-1581.
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Martin, D.F., and Estrin, G. Experiments on models of computations and systems. IEEE Trans. EC, EC-16, 1 (Feb. 1967), 59-69.
[9]
Gonzalez, M.J. Jr. A decentralized parallel processor system. Ph.D. Diss. U. of Texas at Austin, 1971.
[10]
Krone, M. Heuristic programming applied to scheduling models. Proc. Fifth Ann. Conf. on Inform. Sci. and Syst. Elec. Eng. Dep., Princeton U., (1971), pp. 841-848.
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Manacher, G.K. Production and stabilization of real-time task schedulers. J. ACM 14, 3 (July 1967), 439-465.

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cover image Communications of the ACM
Communications of the ACM  Volume 17, Issue 12
Dec 1974
61 pages
ISSN:0001-0782
EISSN:1557-7317
DOI:10.1145/361604
Issue’s Table of Contents
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 December 1974
Published in CACM Volume 17, Issue 12

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Author Tags

  1. dynamic programming
  2. list scheduling
  3. optimization
  4. parallel processing
  5. precedence graphs
  6. scheduling

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