Skip to main content
Log in

Algorithmic soluyion of two parametric optimization problems on a set of complete combinations

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

Algorithmic solutions of parametric problems of two types with a parameter in the objective function and with a parameter in the system of constraints are considered in a Euclidean combinatorial set of combinations with repetitions.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. I. V. Sergienko, L. N. Kozeratskaya, and T. T. Lebedeva, Stability and Parametric Analysis of Discrete Optimization Problems [in Russian], Naukova Dumka, Kiev (1995).

    Google Scholar 

  2. I. V. Sergienko, L. N. Kozeratskaya, and A. A. Kononova, “Stability and unboundedness of vector-optimization problems.” Kibern. Sist. Anal., No. 1, 3–10 (1997).

  3. L. N. Kozeratskaya, T. T. Lebedeva, and I. V. Sergienko, “Stability of discrete-optimization problems,” Kibern. Sist. Anal., No. 3, 78–93 (1993).

  4. L. N. Kozeratskaya, T. T. Lebedeva, and I. V. Sergienko, “Problems of stability and parametric and postoptimal analysis of discrete-optimization problems,” Kibernetika, No. 4, 71–80 (1983).

  5. L. N. Kozeratskaya, T. T. Lebedeva, and I. V. Sergienko, “Discrete-optimization problems: Stability analysis,” Obozr. Prikl. Prom. Mat., No. 1, 12–30 (1995).

  6. L. N. Kozeratskaya, Integer Optimization Problems: Stability Problems and Parametric Analysis [in Ukrainian], Author’s Abstract of Doctoral Dissertation, Kiev (1997).

    Google Scholar 

  7. V. A. Emelichev and R. A. Berdysheva, “Radii of pseudostability, quasistability, and stability of the vector trajectory problem of lexicographic optimization,” Diskret. Mat., 10, No. 1, 20–27 (1998).

    Google Scholar 

  8. V. A. Emelichev and M. K. Kravtsov, “Stability in vector optimization path problems” Kibern. Sist. Anal., No. 4, 137–143 (1995).

  9. V. K. Leont’ev, “Stability in linear discrete problems,” Probl. Kibern., No. 35, 169–184 (1979).

  10. E. N. Gordeev and V. K. Leont’ev, “Trajectory parametric problems,” Zh. Vychisl. Mat. Mat. Fiz., 24, No. 1, 37–46 (1984).

    MathSciNet  Google Scholar 

  11. E. N. Gordeev and V. K. Leont’ev, “The general approach to the analysis of the stability of discrete-optimization problems,” Zh. Vychisl. Mat. Mat. Fiz., 36, No. 1, 66–72 (1996).

    MathSciNet  Google Scholar 

  12. Yu. G. Stoyan and O. A. Yemets, Theory and Methods of Euclidean Combinatorial Optimization [in Ukrainian], ISDO, Kiev (1993).

    Google Scholar 

  13. O. A. Yemets, Theory and Methods of Combinatorial Optimization in Euclidean Sets in Geometric Designing [in Ukrainian], Author’s Abstract of Doctoral Dissertation, Kiev (1997).

    Google Scholar 

  14. O. A. Yemets, Euclidean Combinatorial Sets and Optimization on Them. Advances in Mathematical Programming: A Textbook [in Russian], UMK VO, Kiev (1992).

    Google Scholar 

  15. O. S. Pichugina, Methods and Algorithms of Solution of Some Optimization Problems on Sets of Combinations and Permutations, Author’s Thesis, HDTURE, Khar’kov (1996).

    Google Scholar 

  16. M. Aigner, Combinatorial Theory [Russian translation], Mir, Moscow (1982).

  17. V. I. Baranov and B. S. Stechkin, Extremal Combinatorial Problems and Their Application, Nauka, Moscow (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, pp. 160–165, November–December, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yemets, O.A., Roskladka, A.A. Algorithmic soluyion of two parametric optimization problems on a set of complete combinations. Cybern Syst Anal 35, 981–986 (1999). https://doi.org/10.1007/BF02742292

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02742292

Keywords

Navigation