Multiobjective transportation problem with interval cost, source and destination parameters

Das, Souvik; Goswami, Adrijit; Alam, Shariful

doi:10.1016/s0377-2217(98)00044-7

Cited by 131 publications

(54 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…the roughness exist only in the objective function while the constraints are deterministic. [ [6,7]: [5,9]] [ [6,7]: [5,9]] [ [5,7]: [4,8]] [ [6,7]: [5,9]] [ [9,11]: [8,12] [ [11,13]: [10,14]] [ [3,5]: [2,6]] [ [9,11]: [8,12]] [ [3,4]: [1,5]]…”

Section: Illustrative Examplesmentioning

confidence: 99%

“…In order to solve such example we construct the model as in (8) 2 11 12 13 14 21 22 23 24 31 32 33 34 2 11 12 13 14 21 22 23 24 31 32 33 34 2 11 12 13 14 21 9 11 12 6 8 10 7 9 10 15 10 Step 4: Find the best lower and the worst upper for each objective (payoff Table) subject to [ [7 , 9]: [6,10] [ [6,7]: [5,9]] [ [6,7]: [5,9]] [ [5,7]: [4,8]] [ [6,7]: [5,9]] [ [9,11]: [8,12]] [ [15,17]: [14,18]] [ [16,17]: [14,19] [ [11,13]: …”

Section: International Journal Of Computer Applications (0975 -8887)mentioning

confidence: 99%

“…[ [7,9]: [6,10]] [ [10,11]: [8,12]] [ [11,12]: [10,13]] [ [4,6]: [3,6]] [ [6,8]: [5,9]] [ [9,10]: [7,11]] [ [5,7]: [4,8]] [ [7,9]: [6,11]] [ [8,10]: [7,11]] [ [13,15]: [12,16]] [ [8,10]: [7,11] …”

Section: International Journal Of Computer Applications (0975 -8887)unclassified

“…Abd El-Wahed [1,7] presented a fuzzy programming approach to determine the optimal compromise solution of a multiobjective transportation problem. A fuzzy technique is used to solve the multiobjective transportation problems with interval cost [4]. Ammar et al [3] proposed a method to solve rough interval multiobjective transportation problem based on weighting method and separation method.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem

Osman¹,

El-Sherbiny²,

Khalifa³

et al. 2016

IJCA

View full text Add to dashboard Cite

In this paper the rough interval multiobjective transportation problem (RIMOTP) is presented and its solution procedure is introduced. The concept of solving the interval multiobjective transportation problem is applied for solving RIMOTP. So, The rough interval in the objective function and the constrains, is represented by three different models and such models are solved by using fuzzy programming technique based on the right limit, the center and the half-width of each rough interval using possibly region. Numerical examples are provided to illustrate the solution procedure of three possible types of the original problem.

show abstract

Section: Illustrative Examplesmentioning

confidence: 99%

Section: International Journal Of Computer Applications (0975 -8887)mentioning

confidence: 99%

Section: International Journal Of Computer Applications (0975 -8887)unclassified

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem

Osman¹,

El-Sherbiny²,

Khalifa³

et al. 2016

IJCA

View full text Add to dashboard Cite

show abstract

“…A.Nagarajan and K.Jeyaraman developed a model for solid fixed cost bi-criterion indefinite quadratic transportation problem, Expected value goal programming model and Chance constrained goal programming model for multi-objective interval solid transportation problem under stochastic environment [23,24,25]. S.K.Das et al [11], developed the theory and methodology for multi-objective transportation problem with interval cost, source and destination parameters. Expected value of fuzzy variable and fuzzy expected value models presented by Baoding Liu and Yian-Kui Liu [7].…”

Section: Ntroductionmentioning

confidence: 99%

Solution of Chance Constrained Programming Problem for Multi-Objective Interval Solid Transportation Problem under Stochastic Environment Using Fuzzy Approach

Nagarajan¹,

Jeyaraman²

2010

IJCA

View full text Add to dashboard Cite

In this paper, a solution procedure has been given for the Chance Constrained Programming Models For Multi-Objective Interval Solid Transportation Problem under stochastic environment (MOISTP) where the cost coefficients of the objective functions, the source availability, destination demand and conveyance capacities have been taken as stochastic intervals by the decision makers. The problem has been transformed into a classical multi-objective transportation problem where the multiple objective functions are minimized by using fuzzy programming approach. Numerical examples are provided to illustrate the approach

show abstract

Fuzzy Multiobjective Optimization

Sakawa

2013

Multicriteria Decision Aid and Artificial Intelligence

View full text Add to dashboard Cite

Multiobjective transportation problem with interval cost, source and destination parameters

Cited by 131 publications

References 13 publications

A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem

A Fuzzy Technique for Solving Rough Interval Multiobjective Transportation Problem

Solution of Chance Constrained Programming Problem for Multi-Objective Interval Solid Transportation Problem under Stochastic Environment Using Fuzzy Approach

Fuzzy Multiobjective Optimization

Contact Info

Product

Resources

About