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Extreme point linear fractional functional programming

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Abstract

This paper deals with the optimization of the ratio of two linear functions subject to a set of linear constraints with the additional restriction that the optimal solution is to be an extreme point of another convex polyhedron. In this paper, an enumerative procedure for solving such type of problems is developed. For an illustration, a numerical example is also provided.

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References

  • Charnes, A., andW. W. Cooper: Programming with Linear Fractional Functional. Naval Res. Log. Quart. 181–186, 1962.

  • Hadley, G.: Linear Programming. Addion Wesley Series.

  • Swamp, K.: Linear Fractional Functionals Programming. Operations Research, Vol.13, No. 6, 1029–1036, 1965.

    Google Scholar 

  • Kirby, M. J. L., H. R. Love andK. Swarup: Extreme Point Mathematical Programming. Management Science. U.S.A., 1972.

  • —: An Enumeration Technique for Extreme Point Mathematical Programming Problems. Research Report, Dalhousie University, Canada, 1970.

    Google Scholar 

  • Puri, M. C., andK. Swamp: A Systematic Extreme Point Enumeration Procedure for Fixed Charge Problem. Trabajos de Estadistica de Investigacion Operative, Spain, 1973 –1974.

  • Puri, M. C.: Extreme Point Technique for Assignment Problem. Submitted.

  • Swarup, K.: Some Aspects of Linear Fractional Functionals Programming. Australian Journal of Statistics, Vol. 7, No. 3, 90–104, 1965.

    Google Scholar 

  • Martos, B.: Hyperbolic Programming. Naval Res. Logistics Quarterly, 1964.

  • Dantzig, G. B.: Linear Programming and Extensions. Princeton University Press, Princeton, New Jersey.

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Puri, M.C., Swarup, K. Extreme point linear fractional functional programming. Zeitschrift für Operations Research 18, 131–139 (1974). https://doi.org/10.1007/BF01949687

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