Solving a Solid Transportation Problems Through Fuzzy Ranking

  • Sharmistha Halder(Jana)
  • Barun Das
  • Goutam Panigrahi
  • Manoranjan Maiti
Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 470)

Abstract

A solid transportation problem (STP) with imprecise cost coefficients is modeled in this paper. The proposed fuzzy STP (FSTP) is optimized by the Vogel approximation method (VAM). For different types of imprecise operations and comparisons in VAM, fuzzy ranking method is used. The proposed FSTP is also converted to a crisp one using fuzzy expectation (mean value) and then solved using generalized reduced gradient (GRG) method. Finally, a numerical illustration is performed to support the methods, and optimum results by two methods are compared.

Keywords

Solid transportation problem Fuzzy rank VAM Fuzzy modi indices Bounded technique 

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Copyright information

© Springer Nature Singapore Pte Ltd. 2017

Authors and Affiliations

  • Sharmistha Halder(Jana)
    • 1
  • Barun Das
    • 2
  • Goutam Panigrahi
    • 3
  • Manoranjan Maiti
    • 4
  1. 1.Department of MathematicsMidnapore CollegeMidnaporeIndia
  2. 2.Department of MathematicsSidho Kanho Birsha UniversityPuruliaIndia
  3. 3.Department of MathematicsNIT DurgapurDurgapurIndia
  4. 4.Department of MathematicsVidyasagar UniversityMidnaporeIndia

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