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Linear Programming with a Fractional Objective Function

Author

Listed:
  • G. R. Bitran

    (University of São Paulo, São Paulo, Brazil)

  • A. G. Novaes

    (University of São Paulo, São Paulo, Brazil)

Abstract

This paper presents an algorithm, based on the simplex routine, that provides a way to solve a problem in which the objective function is not linear, but rather is represented by a ratio of two linear functions. This algorithm has a computational advantage over two previous ones because it requires neither variable transformations nor the introduction of new variables and constraints.

Suggested Citation

  • G. R. Bitran & A. G. Novaes, 1973. "Linear Programming with a Fractional Objective Function," Operations Research, INFORMS, vol. 21(1), pages 22-29, February.
    • Handle: RePEc:inm:oropre:v:21:y:1973:i:1:p:22-29
    DOI: 10.1287/opre.21.1.22
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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. Suvasis Nayak & Akshay Kumar Ojha, 2019. "Solution approach to multi-objective linear fractional programming problem using parametric functions," OPSEARCH, Springer;Operational Research Society of India, vol. 56(1), pages 174-190, March.
    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. Illes, Tibor & Szirmai, Akos & Terlaky, Tamas, 1999. "The finite criss-cross method for hyperbolic programming," European Journal of Operational Research, Elsevier, vol. 114(1), pages 198-214, April.
    5. Chen, Fang & Huang, Guohe & Fan, Yurui, 2015. "A linearization and parameterization approach to tri-objective linear programming problems for power generation expansion planning," Energy, Elsevier, vol. 87(C), pages 240-250.
    6. Ahlatcioglu, Mehmet & Tiryaki, Fatma, 2007. "Interactive fuzzy programming for decentralized two-level linear fractional programming (DTLLFP) problems," Omega, Elsevier, vol. 35(4), pages 432-450, August.
    7. Amit Shewale & Anil Mokhade & Nitesh Funde & Neeraj Dhanraj Bokde, 2022. "A Survey of Efficient Demand-Side Management Techniques for the Residential Appliance Scheduling Problem in Smart Homes," Energies, MDPI, vol. 15(8), pages 1-34, April.

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