Skip to main content

On Scheduling with Release Times and Deadlines

  • Conference paper
Deterministic and Stochastic Scheduling

Part of the book series: NATO Advanced Study Institutes Series ((ASIC,volume 84))

Abstract

Algorithms for the scheduling of unit-time jobs with release times and deadlines on one or many identical machines are presented and generalizations which result in NP-complete problems are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. V. Aho, J. E. Hopcroft, and J. D. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading, Mass., 1974.

    MATH  Google Scholar 

  2. P. V. E. Boas, “Preserving order in a forest in less than logarithmic time,” 16th Annual Symposium on Foundations of Computer Science, IEEE Computer Society, Long Beach, California, 1978, pp. 75-84.

    Google Scholar 

  3. J. Carlier, “Problème à une machine dans le cas où les tâches ont des durées égales,” Technical Report Institut de Programmation, Université Paris VI (1979).

    Google Scholar 

  4. S. A. Cook, “The complexity of theorem-proving procedures,” Proc. of the Third Annual ACM Symp. on Theory of Computing, pp. 151-158.

    Google Scholar 

  5. M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP’-Completeness, W. H. Freeman, San Francisco, California, 1978.

    Google Scholar 

  6. M. R. Garey and D. S. Johnson, “Two-processor scheduling with start-times and deadlines,” SIAM J. Comput., 6 (1977), pp. 416–426.

    Article  MathSciNet  MATH  Google Scholar 

  7. M. R. Garey, D. S. Johnson, B. B. Simons, and R. E. Tarjan, “Scheduling unit-time tasks with arbitrary release times and deadlines,” SIAM J. Comput. 10 (1981), pp. 256–269.

    Article  MathSciNet  MATH  Google Scholar 

  8. Z. Galil and N. Megiddo, “A fast selection algorithm and the problem of optimal distribution of effort,” J. Acm, 26, 1 (1979), pp. 58–64.

    Article  MathSciNet  MATH  Google Scholar 

  9. J. R. Jackson, “Scheduling a production line to minimize maximum tardiness,” Research Report 43 (1955), Management Science Research Project, UCLA.

    Google Scholar 

  10. D. B. Johnson and T. Mizoguchi, “Selecting the kth element in X + Y and X1 + X2 + …+ XmSIAM J. Comput.,7 (1978), pp. 147–153.

    Article  MathSciNet  MATH  Google Scholar 

  11. R. M. Karp, “Reducibility among combinatorial problems,” Complexity of Computer Computations, R. E. Miller and J. M. Thatcher, eds., Plenum Press, New York, 1972, pp. 85–103.

    Google Scholar 

  12. J. K. Lenstra, A. H. G. Rinnooy Kan, and P. Brucker, “Complexity of machine scheduling problems,” Annals of Discrete Mathematics, 1 (1977), pp. 343–362.

    Article  MathSciNet  Google Scholar 

  13. B. B. Simons, “A fast algorithm for multiprocessor scheduling,” 21st Annual Symposium on Foundations of Computer Science, IEEE Computer Society, Long Beach, California, 1980, pp. 50–53.

    Google Scholar 

  14. B. B. Simons, “A fast algorithm for single processor scheduling,” 19th Annual Symposium on Foundations of Computer Science, IEEE Computer Society, Long Beach, California, 1978, pp. 246–252.

    Google Scholar 

  15. B. B. Simons, “Multiprocessor scheduling of unit-time jobs with arbitrary release times and deadlines,” IBM Research Report RJ 3235 (1981), San Jose, Ca.

    Google Scholar 

  16. B. B. Simons, “Minimizing maximum lateness of unit-time jobs with arbitrary release times and deadlines,” IBM Research Report RJ 3236 (1981), San Jose, Ca.

    Google Scholar 

  17. B. B. Simons and M. F. Sipser, “On scheduling unit time jobs with multiple release time/deadline intervals,” IBM Research Report RJ 3236 (1981), San Jose, Ca.

    Google Scholar 

  18. J. D. Ullman, “NP-complete scheduling problems,” Journal of Computer and System Sciences, 10 (1975), pp. 384–393.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 D. Reidel Publishing Company

About this paper

Cite this paper

Simons, B. (1982). On Scheduling with Release Times and Deadlines. In: Dempster, M.A.H., Lenstra, J.K., Rinnooy Kan, A.H.G. (eds) Deterministic and Stochastic Scheduling. NATO Advanced Study Institutes Series, vol 84. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-7801-0_4

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-7801-0_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-7803-4

  • Online ISBN: 978-94-009-7801-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics