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

  • Dipanjana Sengupta
  • Uttam Kumar Bera
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 225)


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.


Solid transportation problem Type-2 lognormal uncertain variable Expected value-based reduction method 


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© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of TechnologyAgartala, Barjala, Jirania, West TripuraIndia

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