scholarly journals A Multi-objective Goal Programming Approach To A Fuzzy Transportation Problem The Case Of A General Contractor Company

2011 ◽  
Vol 02 (01) ◽  
pp. 9-19 ◽  
Author(s):  
Hossein Abdollahnejad Barough
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Programming Approach ◽  
Multi Objective ◽  
General Contractor ◽  
Fuzzy Transportation Problem

scholarly journals Goal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint

2020 ◽  
Vol 30 (1) ◽  
Author(s):  
Hamiden Abd El-Wahed Khalifa
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Real Life ◽  
Optimal Solution ◽  
Programming Approach ◽  
Solution Approach ◽  
Fuzzy Transportation Problem ◽  
The Stability ◽  
The Cost

Transportation problem (TP) is a special type of linear programming problem (LPP) where the objective is to minimize the cost of distributing a product from several sources (or origins) to some destinations. This paper addresses a transportation problem in which the costs, supplies, and demands are represented as heptagonal fuzzy numbers. After converting the problem into the corresponding crisp TP using the ranking method, a goal programming (GP) approach is applied for obtaining the optimal solution. The advantage of GP for the decision-maker is easy to explain and implement in real life transportation. The stability set of the first kind corresponding to the optimal solution is determined. A numerical example is given to highlight the solution approach.

Goal programming approach for solving multi-objective fractional transportation problem with fuzzy parameters

2019 ◽  
Vol 53 (1) ◽  
pp. 157-178 ◽  
Author(s):  
Paraman Anukokila ◽  
Bheeman Radhakrishnan ◽  
Antony Anju
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Decision Makers ◽  
Programming Approach ◽  
Multi Objective ◽  
Proposed Model ◽  
Fuzzy Goal ◽  
Fuzzy Parameters ◽  
Interval Valued

In this paper, authors studied a goal programming approach for solving multi-objective fractional transportation problem by representing the parameters (γ, δ) in terms of interval valued fuzzy numbers. Fuzzy goal programming problem with multiple objectives is difficult for the decision makers to determine the goal valued of each objective precisely. The proposed model presents a special type of non-linear (hyperbolic) membership functions to solve multi-objective fractional transportation problem with fuzzy parameters. To illustrate the proposed method numerical examples are solved.

Solving fuzzy transportation problem using multi-choice goal programming

2017 ◽  
Vol 09 (06) ◽  
pp. 1750076 ◽  
Author(s):  
Gurupada Maity ◽  
Sankar Kumar Roy
Keyword(s):  
Goal Programming ◽  
Transportation Problem ◽  
Real Life ◽  
Real Variable ◽  
Solution Procedure ◽  
Programming Approach ◽  
Decision Variable ◽  
Proposed Model ◽  
Fuzzy Goal ◽  
Fuzzy Transportation Problem

This paper explores the study of fuzzy transportation problem (FTP) using multi-choice goal-programming approach. Generally, the decision variable in transportation problem (TP) is considered as real variable, but here the decision variable in each node is chosen from a set of multi-choice fuzzy numbers. Here, we formulate a mathematical model of FTP considering fuzzy goal to the objective function. Thereafter, the solution procedure of the proposed model is developed through multi-choice goal programming approach. The proposed approach is not only improved the applicability of goal programming in real world situations but also provided useful insight about the solution of a new class of TP. A real-life numerical experiment is incorporated to analyze the feasibility and usefulness of this paper. The conclusions about our proposed work including future studies are discussed last.

Multiobjective Transportation Problem Using Fuzzy Decision Variable Through Multi-Choice Programming

2017 ◽  
Vol 8 (3) ◽  
pp. 82-96 ◽  
Author(s):  
Gurupada Maity ◽  
Sankar Kumar Roy
Keyword(s):  
Transportation Problem ◽  
Fuzzy Numbers ◽  
Real Variable ◽  
Programming Approach ◽  
Solution Technique ◽  
Decision Variable ◽  
Fuzzy Decision ◽  
Fuzzy Goal ◽  
Fuzzy Transportation Problem ◽  
New Formulation

This paper analyzes the study of Multiobjective Transportation Problem (MOTP) under the consideration of fuzzy decision variable. Usually, the decision variable in a Transportation Problem is taken as real variable. But, in this paper, the decision variable in each node is selected from a set of multi-choice fuzzy numbers. Inclusion of multiple objectives into transportation problem with fuzzy decision variable makes it a Multiobjective Fuzzy Transportation Problem (MOFTP). In this paper, a new formulation of mathematical model of MOFTP with fuzzy goal of each objective function is enlisted. Thereafter the solution technique of the formulated model is described through multi-choice goal programming approach. Finally, a numerical example is presented to show the feasibility and usefulness of this article.

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