Research Article

Solving Stochastic Fuzzy Transportation Problem with Mixed Constraints Using the Weibull Distribution

Table 1

Comparison of the approach to the present models.

AuthorsProblem typeStochastic parametersDistributionMethodology

Gessesse [31]Fractional TPDemand & supplyNormal distributionSimulation-based genetic algorithm
Jerbi [32]TPDemand & supplyThe power law distributionFuzzy programming approach
Al Qahtani et al. [33]TPDemand & supplyExtreme value distributionGoal programming approach
Nasseri and Bavandi [34]TPDemand & supplyExpectation value modelFuzzy programming approach
Dutta et al. [35]Fuzzy TPDemand & supplyFuzzy lognormal distribution and the confidence levels are treated as fuzzy numbersGenetic algorithm approach
Mahapatra et al. [36]TPDemand & supplyLogistic distributionA transformation technique is presented for manipulating cost coefficients involving multichoice for binary variables with auxiliary constraints and solved by Lingo software
Agrawal and Ganesh [15]TPDemandGalton distributionParameters are replaced by Newton’s divided difference interpolating polynomial and solved by Lingo software
Das and Lee [37]Solid TPDemand, supply, and capacityWeibull distributionGlobal criterion method and fuzzy goal programming approach
This articleSFTPMCDemand & supplyWeibull distributionAlpha cut representation for cost function and WD for constraints and then solved by Lingo software