Academic Journal
Investigation of a multi-objective fixed charge transportation problem with quantity dependent transportation cost and discount policy via metaheuristics.
| Τίτλος: | Investigation of a multi-objective fixed charge transportation problem with quantity dependent transportation cost and discount policy via metaheuristics. |
|---|---|
| Συγγραφείς: | Mondal, Manas1 (AUTHOR), Mandal, Goutam1,2 (AUTHOR), Shaikh, Ali Akbar1 (AUTHOR) aakbarshaikh@gmail.com, Bhunia, Asoke Kumar1 (AUTHOR) |
| Πηγή: | INFOR. Aug2025, Vol. 63 Issue 3, p562-591. 30p. |
| Θεματικοί όροι: | *Discount prices, *Bees algorithm, *Fixed prices, *Mathematical optimization, *Cost structure, Transportation problems (Programming), Multi-objective optimization, Metaheuristic algorithms |
| Περίληψη: | Efficient transportation of goods is a primary economic concern for any business organization. For this reason, research on transportation-related issues is becoming increasingly important. It should be noted that the shipping amount is determined by taking the unit transportation cost into account in a traditional transportation problem (TP). However, in reality, there are many situations where the transported quantity is used to determine the unit cost. Regarding this, in this work, a TP has been addressed in which a manufacturing company has agreements with a few suppliers to deliver the products to the retailers. For this contract, the suppliers receive a commission from the company. Here, two types of transportation costs (actual and demanded) per unit are taken into account. The unit charge that suppliers impose on retailers is known as the 'demanded unit transportation cost', while the 'actual unit transportation cost' is the cost that suppliers bear during the transportation. In order to establish a business relationship with the retailers, suppliers offer a discount on the demanded charge based on the amount they receive. Here, two types of products are considered: products with lower rate of deterioration and products with higher rate of deterioration. The cost of transportation is relatively higher for later items with a larger quantity of deteriorating items. Based on these two categories, two deterministic models have been developed here. Subsequently, we have looked at the models in an uncertain setting while taking the commission and cost parameters into account as interval numbers. The objective of this study is to minimize the retailers' overall cost and maximize the suppliers' total profit simultaneously. To demonstrate the models, four numerical examples have been considered. Then we have used the artificial bee colony (ABC) algorithm in conjunction with four multi-objective optimization techniques that are currently in use to solve the multi-objective transportation models: the global criterion method (GCM), the Tchebycheff method, the weighted Tchebycheff method and the weighted sum method. Finally, a few more metaheuristic algorithms are used to compare the results. [ABSTRACT FROM AUTHOR] |
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| Βάση Δεδομένων: | Business Source Index |
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| Items | – Name: Title Label: Title Group: Ti Data: Investigation of a multi-objective fixed charge transportation problem with quantity dependent transportation cost and discount policy via metaheuristics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mondal%2C+Manas%22">Mondal, Manas</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Mandal%2C+Goutam%22">Mandal, Goutam</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Shaikh%2C+Ali+Akbar%22">Shaikh, Ali Akbar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> aakbarshaikh@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Bhunia%2C+Asoke+Kumar%22">Bhunia, Asoke Kumar</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22INFOR%22">INFOR</searchLink>. Aug2025, Vol. 63 Issue 3, p562-591. 30p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Discount+prices%22">Discount prices</searchLink><br />*<searchLink fieldCode="DE" term="%22Bees+algorithm%22">Bees algorithm</searchLink><br />*<searchLink fieldCode="DE" term="%22Fixed+prices%22">Fixed prices</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br />*<searchLink fieldCode="DE" term="%22Cost+structure%22">Cost structure</searchLink><br /><searchLink fieldCode="DE" term="%22Transportation+problems+%28Programming%29%22">Transportation problems (Programming)</searchLink><br /><searchLink fieldCode="DE" term="%22Multi-objective+optimization%22">Multi-objective optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Metaheuristic+algorithms%22">Metaheuristic algorithms</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Efficient transportation of goods is a primary economic concern for any business organization. For this reason, research on transportation-related issues is becoming increasingly important. It should be noted that the shipping amount is determined by taking the unit transportation cost into account in a traditional transportation problem (TP). However, in reality, there are many situations where the transported quantity is used to determine the unit cost. Regarding this, in this work, a TP has been addressed in which a manufacturing company has agreements with a few suppliers to deliver the products to the retailers. For this contract, the suppliers receive a commission from the company. Here, two types of transportation costs (actual and demanded) per unit are taken into account. The unit charge that suppliers impose on retailers is known as the 'demanded unit transportation cost', while the 'actual unit transportation cost' is the cost that suppliers bear during the transportation. In order to establish a business relationship with the retailers, suppliers offer a discount on the demanded charge based on the amount they receive. Here, two types of products are considered: products with lower rate of deterioration and products with higher rate of deterioration. The cost of transportation is relatively higher for later items with a larger quantity of deteriorating items. Based on these two categories, two deterministic models have been developed here. Subsequently, we have looked at the models in an uncertain setting while taking the commission and cost parameters into account as interval numbers. The objective of this study is to minimize the retailers' overall cost and maximize the suppliers' total profit simultaneously. To demonstrate the models, four numerical examples have been considered. Then we have used the artificial bee colony (ABC) algorithm in conjunction with four multi-objective optimization techniques that are currently in use to solve the multi-objective transportation models: the global criterion method (GCM), the Tchebycheff method, the weighted Tchebycheff method and the weighted sum method. Finally, a few more metaheuristic algorithms are used to compare the results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of INFOR is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/03155986.2025.2492739 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 30 StartPage: 562 Subjects: – SubjectFull: Discount prices Type: general – SubjectFull: Bees algorithm Type: general – SubjectFull: Fixed prices Type: general – SubjectFull: Mathematical optimization Type: general – SubjectFull: Cost structure Type: general – SubjectFull: Transportation problems (Programming) Type: general – SubjectFull: Multi-objective optimization Type: general – SubjectFull: Metaheuristic algorithms Type: general Titles: – TitleFull: Investigation of a multi-objective fixed charge transportation problem with quantity dependent transportation cost and discount policy via metaheuristics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mondal, Manas – PersonEntity: Name: NameFull: Mandal, Goutam – PersonEntity: Name: NameFull: Shaikh, Ali Akbar – PersonEntity: Name: NameFull: Bhunia, Asoke Kumar IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 08 Text: Aug2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 03155986 Numbering: – Type: volume Value: 63 – Type: issue Value: 3 Titles: – TitleFull: INFOR Type: main |
| ResultId | 1 |