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A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems

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Abstract

Optimizing the ratios within the constraints is called fractional programming or ratio optimization problem . If one can optimize several ratios objectives simultaneously, then it is called multi-objective fractional problem (MOFP). This paper presents a review on multi-objective fractional programming (MOFP) problems. In contrast, this review is excluded various technical parts of fractional programming but it gives a road map of studies available in the literature. The MOFP is classified into two classes, first one is General MOFP and other one is multi-objective linear fractional programming (MOLFP). Then, these two classes are subclassified based on the basis of proposed algorithm and optimality criteria. The basic concepts of MOFP are described in brief and for the further research, references are given in the end. The main contribution of authors is review and arrange the available literature in a systematic way.

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Acknowledgments

This work is supported financially by DST-SERB, Government of India, through sanctioned Order No. SB/EMEQ-049/2014.

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  1. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, 211004, India

    Deepak Bhati, Pitam Singh & Rubi Arya

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  1. Deepak Bhati
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  2. Pitam Singh
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  3. Rubi Arya
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Correspondence to Pitam Singh.

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Bhati, D., Singh, P. & Arya, R. A Taxonomy and Review of the Multi-Objective Fractional Programming (MOFP) Problems. Int. J. Appl. Comput. Math 3, 2695–2717 (2017). https://doi.org/10.1007/s40819-016-0261-9

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