Skip to main content
Log in

Scheduling theory problems of type n¦1∥σci(t)

  • Published:
Journal of Soviet Mathematics Aims and scope Submit manuscript

Abstract

The class of problems n¦1∥σci(t) is considered for special sets of penalty functions ci(t). Using the structural properties of the sets of functions ci(t), one selects subclasses of problems which possess a polynomial complexity.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  1. J. K. Lenstra, Sequencing by Enumerative Methods, Math. Centrum, Amsterdam (1977).

    Google Scholar 

  2. A. H. G. Rinnooy Kan, Machine Scheduling Problems: Classification, Complexity and Computations, Nijhoff, the Hague (1976).

    Google Scholar 

  3. J. M. Moore, “An n job, one machine sequencing algorithm for minimizing the number of late jobs,” Manage. Sci.,15, No. 1, 102–109 (1968).

    Google Scholar 

  4. E. L. Lawler and J. M. Moore, “A functional equation and its application to resource allocation and sequencing problems,” Manage. Sci.,16, No. 1, 77–84 (1969).

    Google Scholar 

  5. W. E. Smith, “Various optimizers for single-stage production,” Naval. Res. Logist. Q.,3, 59–66 (1956).

    Google Scholar 

  6. K. V. Shakhbazyan, “The ordering of the structural set of jobs, minimizing the total penalty,” Zap. Nauchn. Sem. Leningr. Otd. Mat. Inst.,90, 229–264 (1979).

    Google Scholar 

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

    Google Scholar 

  8. K. V. Shakhbazyan, “Structural schedulings in the problems of scheduling theory,” J. Sov. Math.,22, No. 2 (1983).

  9. E. L. Lawler, “On scheduling problems with deferral costs,” Manage. Sci.,11, No. 2, 280–288 (1964).

    Google Scholar 

Download references

Authors

Additional information

Translated irom Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 102, pp. 147–155, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shakhbazyan, K.V. Scheduling theory problems of type n¦1∥σci(t). J Math Sci 22, 1254–1259 (1983). https://doi.org/10.1007/BF01460278

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01460278

Keywords

Navigation