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Reduction of Type-2 Lognormal Uncertain Variable and Its Application to a Two-Stage Solid Transportation Problem

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Operations Research and Optimization (FOTA 2016)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 225))

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Abstract

The main focus of the paper is to develop a multi-objective solid transportation problem under uncertain environment, where transportation parameters are taken as type-2 lognormal uncertain variables. For reduction of the type-2 uncertain lognormal variables, expected value-based reduction method has been proposed. A two-stage solid transportation model has been also proposed here. Finally, an illustrative example with real-life data has been solved with the proposed expected value-based reduction method. A comparison has been shown between the result obtained using linear variable and lognormal variable. Lingo 13.0 optimization software has been used to find the optimal result.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Agartala, Barjala, Jirania, West Tripura, 799046, India

    Dipanjana Sengupta & Uttam Kumar Bera

Authors
  1. Dipanjana Sengupta
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  2. Uttam Kumar Bera
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Corresponding author

Correspondence to Dipanjana Sengupta .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology, Durgapur, Durgapur, West Bengal, India

    Samarjit Kar

  2. Department of Computer Science and Engineering, Jadavpur University, Kolkata, West Bengal, India

    Ujjwal Maulik

  3. School of Economics and Management, Beijing University of Chemical Technology, Beijing, China

    Xiang Li

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Sengupta, D., Bera, U.K. (2018). Reduction of Type-2 Lognormal Uncertain Variable and Its Application to a Two-Stage Solid Transportation Problem. In: Kar, S., Maulik, U., Li, X. (eds) Operations Research and Optimization. FOTA 2016. Springer Proceedings in Mathematics & Statistics, vol 225. Springer, Singapore. https://doi.org/10.1007/978-981-10-7814-9_23

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