Skip to main content
Log in

Analysis of an algorithm for solution of conditional optimization problems with linear-fractional objective functions over permutations

  • Published:
Cybernetics and Systems Analysis Aims and scope

Abstract

A method is considered to solve a conditional optimization problem with a linear-fractional objective function over permutations. The performance of sub algorithms to solve this problem is evaluated. The practical efficiency of the algorithm is analyzed by conducting numerical experiments.

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

References

  1. I. V. Sergienko and M. F. Kaspshitskaya, Models and Methods to Solve Combinatory Optimization Problems on Computers [in Russian], Naukova Dumka, Kyiv (1981).

    Google Scholar 

  2. V. I. Baranov and B. S. Stechkin, Extreme Combinatory Problems and their Application [in Russian], Nauka, Moscow (1989).

    Google Scholar 

  3. Yu. G. Stoyan and O. O. Yemets, Theory and Methods of Euclidean Combinatory Optimization [in Ukrainian], ISDO, Kyiv (1993).

    Google Scholar 

  4. Yu. G. Stoyan, O. O. Yemets and E. M. Yemets, Optimization on Polypermutations: Theory and Methods: A Monograph [in Ukrainian], RVTs PUSKU, Poltava (2005).

    Google Scholar 

  5. O. O. Yemets and L. M. Kolechkina, Combinatory Optimization Problems with Linear Fractional Objective Functions: A Monograph [in Ukrainian], Naukova Dumka, Kyiv (2005).

    Google Scholar 

  6. O. O. Yemets and O. V. Roskladka, Optimization Problems on Polycombinatorial Sets: Properties and Solution: A Monograph [in Ukrainian], RVTs PUSKU, Poltava (2006).

    Google Scholar 

  7. D. B. Yudin and E. G. Gol’dshtein, Linear Programming [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  8. A. A. Korbut and Yu. Yu. Finkel’shtein, Discrete Programming [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  9. O. O. Yemets and L. M. Kolechkina, “Solving optimization problems with linear-fractional objective function over permutations,” Visa Derzh. Univ. “L’vivs’ka Politekhnika,” Ser. Prykl. Matem., 2, No. 337, 317–320 (1998).

    Google Scholar 

  10. O. O. Yemets and L. M. Kolechkina, “Optimization problem over permutations with linear-fractional objective function: Properties of the set of feasible solutions,” Ukr. Mat. Zh., 52, No. 12, 1630–1640 (2000).

    MATH  Google Scholar 

  11. O. A. Emets and E. V. Roskladka, “Solution of a Euclidean combinatorial optimization problem by the dynamic-programming method,” Cybern. Syst. Analysis, 38, No. 1, 117–123 (2002).

    Article  MATH  MathSciNet  Google Scholar 

  12. O. A. Emets and T. N. Barbolina, “Solving linear optimization problems on arrangements by the truncation method,” Cybern. Syst. Analysis, 39, No. 6, 889–896 (2003).

    Article  MATH  MathSciNet  Google Scholar 

  13. O. A. Yemets and T. N. Barbolina, “Solution of Euclidean combinatorial optimization problems by the method of construction of a lexicographic equivalence,” Cybern. Syst. Analysis, 40, No. 5, 726–734 (2004).

    Article  Google Scholar 

  14. O. A. Yemets and O. O. Chernenko, “Solving an unconditional problem with a linear-fractional objective function on a general set of permutations,” Radioelectr. Informatika, No. 4, 144–149 (2005).

  15. O. A. Yemets and O. A. Chernenko, “A nonreducible system of constraints of a combinatorial polyhedron in a linear-fractional optimization problem on arrangements,” Cybern. Syst. Analysis, 41, No. 2, 246–254 (2005).

    Article  MATH  Google Scholar 

  16. O. O. Yemets and O. O. Chernenko, “A lexicographic method to solve a linear-fractional conditional problem on permutations,” in: Proc. 2nd Seminal School on Decision-Making Theory, September 27–October 2, 2004, Uzhgorod [in Ukrainian], Uzhgorod (2004).

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Kibernetika i Sistemnyi Analiz, No. 4, pp. 133–146, July–August 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yemets, O.A., Chernenko, O.A. Analysis of an algorithm for solution of conditional optimization problems with linear-fractional objective functions over permutations. Cybern Syst Anal 43, 576–585 (2007). https://doi.org/10.1007/s10559-007-0083-1

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-007-0083-1

Keywords

Navigation