Four-dimensional uncertain multi-objective multi-item transportation problem

• Autorzy: Kakran Vandana , Dhodiya Jayesh

Identyfikatory

DOI

10.37190/ord220204

• Języki publikacji: EN

Abstrakty

EN

This paper considers a four-dimensional multi-objective multi-item transportation problem (4DMOMITP), where all the parameters are regarded as uncertain variables. In this paper, three mathematical models, namely expected value model (EVM), optimistic value model (OVM) and dependent optimistic-constrained model (DOCM), are discussed for the uncertain model of 4DMOMITP. These models are converted into their corresponding deterministic forms using different ranking criteria from uncertainty theory. These deterministic models are then solved by using the Lingo 18.0 software, utilizing three different classical approaches for obtaining a solution. A numerical example is given to illustrate the application of the model and the solution algorithm. A sensitivity analysis for the OVM and DOCM models has also been performed with respect to the confidence levels.

Słowa kluczowe

EN

four-dimensional; transportation problem; uncertain programming; optimistic value model; fuzzy technique

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2022
• Tom: Vol. 32, No. 2
• Strony: 52--73
• Opis fizyczny: Bibliogr. 39 poz., rys.

Twórcy

autor

Kakran Vandana

• Department of Mathematics and Humanities, S.V. National Institute of Technology, Gujarat, India

• https://orcid.org/0000-0003-2889-2082

autor

Dhodiya Jayesh

• Department of Mathematics and Humanities, S.V. National Institute of Technology, Gujarat, India

• https://orcid.org/0000-0001-9675-412X

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).