A new fuzzy programming technique approach to solve fuzzy transportation problem

2014 ◽  
Author(s):  
Dalbinder Kaur ◽  
Sathi Mukherjee ◽  
Kajla Basu
Keyword(s):  
Transportation Problem ◽  
Fuzzy Programming ◽  
Programming Technique ◽  
Fuzzy Transportation Problem

scholarly journals A Compensatory Approach to Multiobjective Linear Transportation Problem with Fuzzy Cost Coefficients

2011 ◽  
Vol 2011 ◽  
pp. 1-19 ◽  
Author(s):  
Hale Gonce Kocken ◽  
Mehmet Ahlatcioglu
Keyword(s):  
Transportation Problem ◽  
Fuzzy Programming ◽  
Solution Procedure ◽  
Decision Making Process ◽  
Pareto Optimal ◽  
Objective Functions ◽  
Programming Technique ◽  
Nonlinear Structure ◽  
Multiobjective Approach ◽  
Fuzzy Cost

This paper deals with the Multiobjective Linear Transportation Problem that has fuzzy cost coefficients. In the solution procedure, many objectives may conflict with each other; therefore decision-making process becomes complicated. And also due to the fuzziness in the costs, this problem has a nonlinear structure. In this paper, fuzziness in the objective functions is handled with a fuzzy programming technique in the sense of multiobjective approach. And then we present a compensatory approach to solve Multiobjective Linear Transportation Problem with fuzzy cost coefficients by using Werner's operator. Our approach generates compromise solutions which are both compensatory and Pareto optimal. A numerical example has been provided to illustrate the problem.

scholarly journals FUZZY PROGRAMMING TECHNIQUE TO SOLVE BI-OBJECTIVE TRANSPORTATION PROBLEM

2010 ◽  
Vol 2 (1) ◽  
pp. 46-52 ◽  
Author(s):  
Bodkhe SG ◽  
◽  
Bajaj VH ◽  
Dhaigude RM
Keyword(s):  
Transportation Problem ◽  
Fuzzy Programming ◽  
Programming Technique

scholarly journals Multi-Objective Capacitated Solid Transportation Problem with Uncertain Variables

2021 ◽  
Vol 6 (5) ◽  
pp. 1406-1422
Author(s):  
Vandana Y. Kakran ◽  
Jayesh M. Dhodiya
Keyword(s):  
Transportation Problem ◽  
Optimal Solution ◽  
Fuzzy Programming ◽  
Solid Transportation Problem ◽  
Programming Technique ◽  
Distance Method ◽  
Multi Objective ◽  
Uncertain Variables ◽  
Value Model ◽  
Single Objective

This paper investigates a multi-objective capacitated solid transportation problem (MOCSTP) in an uncertain environment, where all the parameters are taken as zigzag uncertain variables. To deal with the uncertain MOCSTP model, the expected value model (EVM) and optimistic value model (OVM) are developed with the help of two different ranking criteria of uncertainty theory. Using the key fundamentals of uncertainty, these two models are transformed into their relevant deterministic forms which are further converted into a single-objective model using two solution approaches: minimizing distance method and fuzzy programming technique with linear membership function. Thereafter, the Lingo 18.0 optimization tool is used to solve the single-objective problem of both models to achieve the Pareto-optimal solution. Finally, numerical results are presented to demonstrate the application and algorithm of the models. To investigate the variation in the objective function, the sensitivity of the objective functions in the OVM model is also examined with respect to the confidence levels.

scholarly journals A New Method to Solve Interval Transportation Problems

2020 ◽  
pp. 802-811
Author(s):  
Abdul Quddoos ◽  
Ummey Habiba
Keyword(s):  
Comparative Study ◽  
Transportation Problem ◽  
Solution Method ◽  
Fuzzy Programming ◽  
Solution Procedure ◽  
Programming Technique ◽  
Left Limit ◽  
Objective Model ◽  
The Cost ◽  
Single Objective

transportation problem (ITP) in which the cost-coefficients of the objective function, source and destination parameters are all in the form of interval. In this paper, the single objective interval transportation problem is transformed into an equivalent crisp bi-objective transportation problem where the left-limit and width of the interval are to be minimized. The solution to this bi-objective model is then obtained with the help of fuzzy programming technique. The proposed solution procedure has been demonstrated with the help of a numerical example. A comparative study has also been made between the proposed solution method and the method proposed by Das et al.(1999) .

Tolerance Approach to Sensitivity Analysis in Multiobjective Transportation Problem

2020 ◽  
Vol 87 (3-4) ◽  
pp. 178
Author(s):  
P. M. Paratane ◽  
A. K. Bit
Keyword(s):  
Sensitivity Analysis ◽  
Transportation Problem ◽  
Supply And Demand ◽  
Fuzzy Programming ◽  
Compromise Solution ◽  
Programming Technique ◽  
Numerical Example ◽  
Tolerance Approach ◽  
Postoptimality Analysis

This paper represents ordinary sensitivity analysis and tolerance approach to sensitivity analysis in supply and demand values of the multiobjective transportation problem. Our proposed approach allows simultaneous and independent changes in the supply and demand values. The aim of this paper is to find the ranges for each supply and demand value within which the changes can occur without affecting the current basis of the best compromise solution. We have used the best compromise solution obtained using fuzzy programming technique for the postoptimality analysis of the multiobjective transportation problem. The approach is illustrated by a numerical example.

A multi-objective solid transportation problem with discount and two-level fuzzy programming technique

2015 ◽  
Vol 24 (4) ◽  
pp. 423 ◽  
Author(s):  
Srikanta Samanta ◽  
Shyamal Kumar Mondal ◽  
Barun Das
Keyword(s):  
Transportation Problem ◽  
Fuzzy Programming ◽  
Solid Transportation Problem ◽  
Programming Technique ◽  
Multi Objective

Solving Fuzzy Transportation Problem Using Modified Best Candidate Method

2018 ◽  
Vol 9 (9) ◽  
pp. 1179-1186
Author(s):  
D. Stephen Dinagar ◽  
R. Keerthivasan
Keyword(s):  
Transportation Problem ◽  
Fuzzy Transportation Problem

A NEW APPROACH FOR SOLVING TRAPEZOIDAL INTUITIONISTIC FUZZY TRANSPORTATION PROBLEM

2020 ◽  
Vol 9 (11) ◽  
pp. 9149-9159
Author(s):  
B. Abirami ◽  
V. Vamitha ◽  
S. Rajaram
Keyword(s):  
Transportation Problem ◽  
New Approach ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Transportation Problem

scholarly journals A Method for Solving Fuzzy Transportation Problem (FTP) using Fuzzy Russell's Method

2013 ◽  
Vol 5 (2) ◽  
pp. 71-75 ◽  
Author(s):  
S. Narayanamoorthy ◽  
S. Saranya ◽  
S. Maheswari
Keyword(s):  
Transportation Problem ◽  
Fuzzy Transportation Problem
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