Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments

Transportation-based models are widely used to solve real-life problems such as supply chain problems, inventory level problems, business models, management problems, etc. The parameters of these problems have been conventionally measured as deterministic. However, these parameters have vagueness du...

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Vydané v:Systems science & control engineering Ročník 10; číslo 1; s. 899 - 909
Hlavní autori: Haque, S., Bhurjee, A. K., Kumar, P.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Macclesfield Taylor & Francis 31.12.2022
Taylor & Francis Ltd
Taylor & Francis Group
Predmet:
Budgets
Constraints
Environment models
Fuzzy set theory
Fuzzy sets
Interval analysis
Intervals
Linear programming
multi-objective programming problem
Nonlinear programming
Operating costs
Parameters
partial ordering
Probability theory
solid transportation problem
Supply chains
Transportation problem
Uncertainty
ISSN:2164-2583, 2164-2583
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Popis
Shrnutí:Transportation-based models are widely used to solve real-life problems such as supply chain problems, inventory level problems, business models, management problems, etc. The parameters of these problems have been conventionally measured as deterministic. However, these parameters have vagueness due to the uncertainty in the data sets. Such uncertainty of the parameters is generally measured using randomness (probability theory) or fuzziness (fuzzy theory), with certain assumptions and limitations. Closed intervals interpretation is another concept to deal with the uncertainties of real-world issues in recent decades, avoiding the limitations in probability theory and fuzzy set theory. This study formulates a fixed-charged multi-objective non-linear solid transportation with parameters such as availability of items, conveyance capacity, transportation cost, requirement, and budget for destinations in the form of closed intervals, where objectives are minimization of total transportation cost and action of time under the restriction over budget. An efficient solution procedure is developed with the help of interval analysis based on the parametric perception of intervals. Initially, the objective functions are converted into a crisp function using multiple integrations, and as a result, the problem is converted into a deterministic multi-objective non-linear programming problem. In addition, a real-world numerical problem is considered for testing the developed solution process for greater comprehension and clarity.
Bibliografia:ObjectType-Article-1
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content type line 14
ISSN:2164-2583
2164-2583
DOI:10.1080/21642583.2022.2137707