Fuzzy programming for multi-choice bilevel transportation problem

• Autorzy: Arora Ritu , Gupta Kavita

Identyfikatory

DOI

10.37190/ord210301

• Języki publikacji: EN

Abstrakty

EN

Multi-choice programming problems arise due to the diverse needs of people. In this paper, multichoice optimization has been applied to the bilevel transportation problem. This problem deals with transportation at both the levels, upper as well as lower. There are multiple choices for demand and supply parameters. The multi-choice parameters at the respective levels are converted into polynomials which transmute the defined problem into a mixed integer programming problem. The objective of the paper is to determine a solution methodology for the transformed problem. The significance of the formulated model is exhibited through an example by applying it to the hotel industry. The fuzzy programming approach is employed to obtain a satisfactory solution for the decision-makers at the two levels. A comparative analysis is presented in the paper by solving the bilevel multi-choice transportation problem with goal programming mode as well as by the linear transformation technique. The example is solved using computing software.

Słowa kluczowe

EN

bilevel programming; transportation problem; fuzzy programming; goal programming; tolerance limit; satisfactory solution

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2021
• Tom: Vol. 31, No. 3
• Strony: 5--21
• Opis fizyczny: Bibliogr. 30 poz., tab.

Twórcy

autor

Arora Ritu

• Department of Mathematics, Keshav Mahavidyalaya, University of Delhi, H-4-5 Zone, Pitampura Near Sainik Vihar, Delhi 110034, India

autor

Gupta Kavita

• Department of Mathematics, Kirori Mal College, University of Delhi, Delhi 110007, India

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 (2021).