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Multi-choice fractional stochastic multi-objective transportation problem

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Abstract

Uncertainty in real-world fractional transportation problem is the major issue. In this paper, a multi-choice fractional stochastic multi-objective transportation problem (MCFS-MOTP) is investigated. Due to the uncertainty, in the introduced model, the coefficients of the fractional objective functions are a multi-choice type also, the parameters of the constraints are treated as multi-choice independent normally distributed random variables. Firstly, an interpolating polynomial is detailed utilizing practical qualities at nonnegative integer nodes to deal with any multi-choice parameters based on Newton divided difference method. Secondly, stochastic programming approach is applied to transform the probabilistic constraints into crisp ones. Moreover, we introduced a linearization methodology to work out the linear form of the problem. Finally, a fuzzy goal programming approach and the \(\epsilon \)-constrain method were utilized to think through the issue. Applicability of the proposed model was verified through a numerical example.

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Change history

  • 29 September 2023

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Funding

The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work is supported by Open access agreement for Egypt.

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Authors and Affiliations

  1. Basic Sciences Department, Faculty of Engineering, BADR University in Cairo BUC, Cairo, Egypt

    M. A. El Sayed

  2. Department of Basic Engineering Sciences, Faculty of Engineering, Benha University, ElQalyoubia, Egypt

    M. A. El Sayed & Ibrahim A. Baky

  3. Department of Mathematics, Faculty of Sciences, University of Tabuk, Tabuk, Saudi Arabia

    Ibrahim A. Baky

Authors
  1. M. A. El Sayed
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  2. Ibrahim A. Baky
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Contributions

Working concept or design was contributed by MAES; The data collection was contributed by ES and B; Draft paper was contributed by ES; Make important revisions to the paper was contributed by B; Approve the final version of the paper for publication was contributed by ES and B.

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Correspondence to M. A. El Sayed.

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El Sayed, M.A., Baky, I.A. Multi-choice fractional stochastic multi-objective transportation problem. Soft Comput 27, 11551–11567 (2023). https://doi.org/10.1007/s00500-023-08101-3

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