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Operations Research in Development Sector pp 81–95Cite as

Computation of Multi-choice Multi-objective Fuzzy Probabilistic Transportation Problem

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Abstract

This paper presents a methodology for solving multi-choice multi-objective fuzzy stochastic transportation problem, where the uncertain parameter presents in the supply constraint. In this case fuzzy random variable is assumed to be fuzzy Laplace random variable. The parameters which are present in demand constraint are multi-choice in nature. Fuzziness, randomness, and multi-choiceness are present under one roof. First fuzziness is removed by using alpha-cut technique. In second step randomness is removed by using chance constraint method. In third step multi-choice parameters are handled using interpolating polynomial approaches. Then multi-objective is transformed into a single-objective mathematical model by using weighting mean method. The deterministic equivalent of the model is a mixed integer nonlinear programming problem, which is solved by standard mathematical programming tool and technique. A numerical example is presented to demonstrate the usefulness of the proposed methodology.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Institute of Technical Education and Research, Siksha ‘O’ Anusandhan (Deemed to be University), Bhubaneswar, 751030, Odisha, India

    Narmada Ranarahu & J. K. Dash

  2. Department of Mathematics, School of Applied Sciences, KIIT University, Bhubaneswar, India

    S. Acharya

Authors
  1. Narmada Ranarahu
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  2. J. K. Dash
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  3. S. Acharya
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Corresponding author

Correspondence to Narmada Ranarahu .

Editor information

Editors and Affiliations

  1. Vinod Gupta School of Management, Indian Institute of Technology Kharagpur, Kharagpur, India

    Arabinda Tripathy

  2. School of Management, KIIT University, Bhubaneswar, India

    Rabi Narayan Subudhi

  3. Department of Computer Science and Engineering, Siksha ‘O’ Anusandhan University, Bhubaneswar, Odisha, India

    Srikanta Patnaik

  4. Department of Mathematics, Faculty of Science and Technology, ICFAI Foundation of Higher Education University, Hyderabad, India

    Jyotiranjan Nayak

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Ranarahu, N., Dash, J.K., Acharya, S. (2019). Computation of Multi-choice Multi-objective Fuzzy Probabilistic Transportation Problem. In: Tripathy, A., Subudhi, R., Patnaik, S., Nayak, J. (eds) Operations Research in Development Sector. Asset Analytics. Springer, Singapore. https://doi.org/10.1007/978-981-13-1954-9_6

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