Open AccessGoal programming approach for solving heptagonal fuzzy transportation problem under budgetry constraint
Author(s) -
Hamiden Abd ElWahed Khalifa
Publication year - 2020
Publication title -
badania operacyjne i decyzje/operations research and decisions
Language(s) - English
Resource type - Journals
eISSN - 2081-8858
pISSN - 1230-1868
DOI - 10.37190/ord200105
Subject(s) - mathematical optimization , transportation theory , computer science , linear programming , constraint (computer aided design) , fuzzy logic , set (abstract data type) , decision maker , constraint programming , ranking (information retrieval) , mathematics , operations research , stochastic programming , artificial intelligence , geometry , programming language
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.