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On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming

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  • R. Jagannathan

    (Indian Institute of Management, Ahmedabad)

Abstract

This paper presents results which apply to convex programming problem in parametric form. The results secured are also related to the problem of fractional programming in a way which indicates computational possibilities for the latter class of problems. The results are extended to general non-linear programming problems with special reference to continuous criterion functions. As a particular case, the linear fractional programming problem is considered and, in conclusion, the results secured here are pointed up by reference to existing algorithms for the latter class of problems.

Suggested Citation

  • R. Jagannathan, 1966. "On Some Properties of Programming Problems in Parametric form Pertaining to Fractional Programming," Management Science, INFORMS, vol. 12(7), pages 609-615, March.
    • Handle: RePEc:inm:ormnsc:v:12:y:1966:i:7:p:609-615
    DOI: 10.1287/mnsc.12.7.609
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    Cited by:

    1. Vandana Goyal & Namrata Rani & Deepak Gupta, 2022. "An algorithm for quadratically constrained multi-objective quadratic fractional programming with pentagonal fuzzy numbers," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 32(1), pages 49-71.
    2. Garrido, Rodrigo A. & Bronfman, Andrés C., 2017. "Equity and social acceptability in multiple hazardous materials routing through urban areas," Transportation Research Part A: Policy and Practice, Elsevier, vol. 102(C), pages 244-260.
    3. Ricardo Ródenas & M. López & Doroteo Verastegui, 1999. "Extensions of Dinkelbach's algorithm for solving non-linear fractional programming problems," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 7(1), pages 33-70, June.
    4. Agarwal, Deepika & Singh, Pitam & El Sayed, M.A., 2023. "The Karush–Kuhn–Tucker (KKT) optimality conditions for fuzzy-valued fractional optimization problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 861-877.
    5. Meena K. Bector & I. Husain & S. Chandra & C. R. Bector, 1988. "A duality model for a generalized minmax program," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(5), pages 493-501, October.
    6. Meijia Yang & Yong Xia & Jiulin Wang & Jiming Peng, 2018. "Efficiently solving total least squares with Tikhonov identical regularization," Computational Optimization and Applications, Springer, vol. 70(2), pages 571-592, June.
    7. Aneja, Y. P. & Kabadi, S. N., 1995. "Ratio combinatorial programs," European Journal of Operational Research, Elsevier, vol. 81(3), pages 629-633, March.

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