A multi-objective solid transportation problem with reliability for damageable items in random fuzzy environment

2018 ◽  
Vol 31 (1) ◽  
pp. 1 ◽  
Author(s):  
Sutapa Pramanik ◽  
K. Maity ◽  
Dipak Kumar Jana
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Fuzzy Environment

scholarly journals On characterizing solution for multi-objective fractional two-stage solid transportation problem under fuzzy environment

2021 ◽  
Vol 30 (1) ◽  
pp. 620-635
Author(s):  
Hamiden Abd El-Wahed Khalifa ◽  
Pavan Kumar ◽  
Majed. G. Alharbi
Keyword(s):  
Membership Function ◽  
Transportation Problem ◽  
Programming Approach ◽  
Solid Transportation Problem ◽  
Two Stage ◽  
Multi Objective ◽  
Fuzzy Environment ◽  
The Stability ◽  
Fuzzy Cost ◽  
Necessary And Sufficient

Abstract This article attempts to study cost minimizing multi-objective fractional solid transportation problem with fuzzy cost coefficients c ˜ i j k r {\tilde{c}}_{ijk}^{r} , fuzzy supply quantities a ˜ i {\tilde{a}}_{i} , fuzzy demands b ˜ j {\tilde{b}}_{j} , and/or fuzzy conveyances e ˜ k {\tilde{e}}_{k} . The fuzzy efficient concept is introduced in which the crisp efficient solution is extended. A necessary and sufficient condition for the solution is established. Fuzzy geometric programming approach is applied to solve the crisp problem by defining membership function so as to obtain the optimal compromise solution of a multi-objective two-stage problem. A linear membership function for the objective function is defined. The stability set of the first kind is defined and determined. A numerical example is given for illustration and to check the validity of the proposed approach.

On Multi-Objective Multi-Item Solid Transportation Problem in Fuzzy Environment

2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Hamiden Khalifa ◽  
Mohammed Elhenawy ◽  
Mahmoud Masoud ◽  
Hanif Bhuiyan ◽  
Nasser R Sabar
Keyword(s):  
Transportation Problem ◽  
Solid Transportation Problem ◽  
Multi Objective ◽  
Fuzzy Environment

scholarly journals Multi-Objective Restricted Solid Transportation Problem in Intuitionistic Fuzzy Environment with Emission Cost

2019 ◽  
Vol 8 (2S3) ◽  
pp. 722-727 ◽  
Keyword(s):  
Transportation Problem ◽  
International Energy Agency ◽  
Optimal Solution ◽  
Transport Sector ◽  
Solid Transportation Problem ◽  
Energy Agency ◽  
Multi Objective ◽  
Intuitionistic Fuzzy ◽  
Weighted Sum Method ◽  
Fuzzy Environment

Transportation plays key role in logistic and supply chain management for decreasing cost and enhances service. The transport sector contributes 23% of the total CO2 emissions in the world according to the latest estimates of the International Energy Agency (IEA).There is a direct link between weight of the quantity transported and co2 emission for the freight transport. This paper presents multi objective restricted solid transportation problem in intuitionistic fuzzy ambiance with emission cost which is based on weight of the quantity transported and vehicle cost under some restriction on transported amount. An extra constraint on the total budget at each destination is imposed. Transportation models are formulated under crisp and fuzzy environments and fuzzy models are converted into crisp using average method. The total time and emission cost based on weight of the quantity transported for restricted and unrestricted models are compared. The optimal solution is obtained by using weighted sum method and Lingo 13.0 Software. Mathematical example is given to validate the proposed mode

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