Skip to main content
Log in

Constrained ratio games and generalized fractional programming

  • Published:
Zeitschrift für Operations Research Aims and scope Submit manuscript

Abstract

A certain constrained ratio game is shown to be equivalent to a pair of mutually dual generalized fractional programming problems. This also extends the concept of symmetric duality to min-max fractional programming.

Zusammenfassung

Es wird gezeigt, daß ein ratio game mit Beschränkungen einem Paar dualer verallgemeinerter Quotientenprogramme äquivalent ist. Diese erweisen sich als symmetrisch.

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. Chandra S, Craven BD, Mond B (1986) Generalized fractional programming duality: a ratio game game approach. J of Austral Math Soc (Ser B) 28:170–180

    Google Scholar 

  2. Charnes A (1953) Constrained games and linear programming. Proc Nat Acad Sci 39:639–641

    Google Scholar 

  3. Crouzeix JP, Ferland JA, Schaible S (1983) Duality in generalized fractional programming. Mathematical Programming 27:342–354

    Google Scholar 

  4. Jagannathan R, Schaible S (1983) Duality in generalized fractional programming via Farkas lemma. J Optimization Theory and Applications 41:417–424

    Google Scholar 

  5. Karlin S (1959) Mathematical methods and theory in games. Programming and Mathematical Economics. Addison-Wesley, Reading, Mass.

    Google Scholar 

  6. Kawaguchi T, Maruyama Y (1976) A note on minimax (maximin) programming. Management Science 22:670–676

    Google Scholar 

  7. Owen G (1982) Game theory, second ed. Academic Press, New York

    Google Scholar 

  8. Schroeder RG (1970) Linear programming solutions to ratio games. Operations Research 18:300–305

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research by this author was carried out while he was visiting I.I.T. Delhi, India, under an Australian Vice-Chancellors' Committee Visiting Fellowship.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chandra, S., Mond, B. & Durga Prasad, M.V. Constrained ratio games and generalized fractional programming. Zeitschrift für Operations Research 32, 307–314 (1988). https://doi.org/10.1007/BF01920300

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01920300

Key words

Navigation