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

• Autorzy: Khalifa Hamiden Abd El-Wahed

Identyfikatory

DOI

10.37190/ord200105

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

transportation problem; heptagonal fuzzy numbers; ranking method; goal programming; parametric study

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2020
• Tom: Vol. 30, No. 1
• Strony: 85--96
• Opis fizyczny: Bibliogr. 23 poz., rys.

Twórcy

autor

Khalifa Hamiden Abd El-Wahed

• Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt
• Mathematics Department, College of Science and Arts, Al- Badaya, Qassim University, Saudi Arabia

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).