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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2022-12-01
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| Series: | Systems Science & Control Engineering |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/21642583.2022.2137707 |
| _version_ | 1811334358010691584 |
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| author | S. Haque A. K. Bhurjee P. Kumar |
| author_facet | S. Haque A. K. Bhurjee P. Kumar |
| author_sort | S. Haque |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T17:07:39Z |
| format | Article |
| id | doaj.art-0176a6db746d4127bf9123e75b9430fb |
| institution | Directory Open Access Journal |
| issn | 2164-2583 |
| language | English |
| last_indexed | 2024-04-13T17:07:39Z |
| publishDate | 2022-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Systems Science & Control Engineering |
| spelling | doaj.art-0176a6db746d4127bf9123e75b9430fb2022-12-22T02:38:25ZengTaylor & Francis GroupSystems Science & Control Engineering2164-25832022-12-0110189990910.1080/21642583.2022.2137707Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environmentsS. Haque0A. K. Bhurjee1P. Kumar2Department of Mathematics, Prince Sultan University, Riyadh, Saudi ArabiaDepartment of Mathematics, VIT Bhopal University, Sehore, Madhya Pradesh, IndiaDepartment of Mathematics, SRM Institute of Science and Technology, Chennai, IndiaTransportation-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.https://www.tandfonline.com/doi/10.1080/21642583.2022.2137707Interval analysissolid transportation problemmulti-objective programming problempartial ordering |
| spellingShingle | S. Haque A. K. Bhurjee P. Kumar Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments Systems Science & Control Engineering Interval analysis solid transportation problem multi-objective programming problem partial ordering |
| title | Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments |
| title_full | Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments |
| title_fullStr | Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments |
| title_full_unstemmed | Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments |
| title_short | Multi-objective non-linear solid transportation problem with fixed charge, budget constraints under uncertain environments |
| title_sort | multi objective non linear solid transportation problem with fixed charge budget constraints under uncertain environments |
| topic | Interval analysis solid transportation problem multi-objective programming problem partial ordering |
| url | https://www.tandfonline.com/doi/10.1080/21642583.2022.2137707 |
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