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

  • 2018
  • OriginalPaper
  • Chapter
Published in:
Authors
Dipanjana Sengupta
Uttam Kumar Bera
Published in
Operations Research and Optimization
Publisher
Springer Singapore

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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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Title
Reduction of Type-2 Lognormal Uncertain Variable and Its Application to a Two-Stage Solid Transportation Problem
Authors
Dipanjana Sengupta
Uttam Kumar Bera
Copyright Year
2018
Publisher
Springer Singapore
Book
Operations Research and Optimization

Print ISBN: 978-981-10-7813-2

Electronic ISBN: 978-981-10-7814-9

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-981-10-7814-9_23
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