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Multi-choice Multi-objective Fractional Probabilistic Programming Problem

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Proceedings of the Fifth International Conference on Mathematics and Computing

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1170))

Abstract

In this paper, we present a multi-objective fractional probabilistic programming problem where the parameters in the objective functions and right-hand side constraints are multi-choice in nature. Multi-choice multi-objective objective fractional probabilistic programming problem is formulated. The multi-choice parameters in the right-hand side of constraints are random variables following Cauchy distribution. Multi-choice multi-objective fractional probabilistic programming problem is transformed to deterministic equivalent multi-choice multi-objective fractional programming problem using chance-constrained programming problem. Lagrange interpolating polynomial approach is proposed to deal with multi-choice parameters. The multi-choice multi-objective fractional programming problem is transformed to non-linear mixed integer multi-objective programming problem. An \(\epsilon -\) constrained method is applied to find the compromise solutions of non-linear mixed integer multi-objective programming problem using different values of \(\epsilon \). LINGO software is applied to find the optimal solution of single objective non-linear mixed integer programming problem. Finally, a numerical example is given to illustrate the proposed programming problem.

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Author information

Authors and Affiliations

  1. Department of Mathematics School of Applied Sciences, KIIT Deemed to be University, Bhubaneswar, 751024, India

    Berhanu Belay & Srikumar Acharya

Authors
  1. Berhanu Belay
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  2. Srikumar Acharya
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Corresponding author

Correspondence to Berhanu Belay .

Editor information

Editors and Affiliations

  1. Department of Information Technology, Maulana Abul Kalam Azad University of Technology, Haringhata, West Bengal, India

    Debasis Giri

  2. Faculty of Engineering and Physical Sciences, University of Surrey, Guildford, UK

    Anthony T. S. Ho

  3. Indian Institute of Technology Madras, Chennai, India

    S. Ponnusamy

  4. Department of Information Management, National Taiwan University of Science and Technology, Taipei City, Taiwan

    Nai-Wei Lo

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© 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Belay, B., Acharya, S. (2021). Multi-choice Multi-objective Fractional Probabilistic Programming Problem. In: Giri, D., Ho, A.T.S., Ponnusamy, S., Lo, NW. (eds) Proceedings of the Fifth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1170. Springer, Singapore. https://doi.org/10.1007/978-981-15-5411-7_12

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