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Letter to the Editor—Linear Fractional Functionals Programming

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  • Kanti Swarup

    (University of Delhi, Delhi 7, India)

Abstract

The present paper deals with the problem of maximizing the ratio of two linear functions subject to a set of linear equalities and nonnegativity constraints on the variables. The problem is attacked directly, beginning with a basic feasible solution and showing the conditions under which the solution can be improved. Conditions for optimality criteria are established. The method followed is similar to “simplex technique” in linear programming.

Suggested Citation

  • Kanti Swarup, 1965. "Letter to the Editor—Linear Fractional Functionals Programming," Operations Research, INFORMS, vol. 13(6), pages 1029-1036, December.
    • Handle: RePEc:inm:oropre:v:13:y:1965:i:6:p:1029-1036
    DOI: 10.1287/opre.13.6.1029
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    Cited by:

    1. Tunjo Perić & Josip Matejaš & Zoran Babić, 2023. "Advantages, sensitivity and application efficiency of the new iterative method to solve multi-objective linear fractional programming problem," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 31(3), pages 751-767, September.
    2. S. N. Gupta & A. K. Jain & Kanti Swarup, 1987. "Stochastic linear fractional programming with the ratio of independent Cauchy variates," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(2), pages 293-305, April.
    3. Pandian Ponnaiah & Jayalakshmi Mohan, 2013. "On Solving Linear Fractional Programming Problems," Modern Applied Science, Canadian Center of Science and Education, vol. 7(6), pages 1-90, June.
    4. G. Pacelli & M. C. Recchioni, 2000. "Monotone Variable–Metric Algorithm for Linearly Constrained Nonlinear Programming," Journal of Optimization Theory and Applications, Springer, vol. 104(2), pages 255-279, February.
    5. Sharmistha Halder (Jana) & Biswapati Jana, 2020. "Application of fuzzy programming techniques to solve solid transportation problem with additional constraints," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 30(1), pages 67-84.
    6. Hecheng Li, 2015. "A genetic algorithm using a finite search space for solving nonlinear/linear fractional bilevel programming problems," Annals of Operations Research, Springer, vol. 235(1), pages 543-558, December.
    7. Ritu Arora & Kavita Gupta, 2018. "Branch and bound algorithm for discrete multi- level linear fractional programming problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(2), pages 5-21.

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