Optimizing Parallel-Series Configurations for Reliability: Enhancing Integrated Redundancy.
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| Title: | Optimizing Parallel-Series Configurations for Reliability: Enhancing Integrated Redundancy. |
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| Authors: | Akiri, Sridhar1 sakiri@gitam.edu, Kapu, Bhavani2 bkapu@gitam.in, Bushan Rao, Peddi Phani3 ppeddi@gitam.edu, Saripalli, Arun Kumar4 asaripal@gitam.in, Chesneau, Christophe5 christophe.chesneau@gmail.com |
| Source: | IAENG International Journal of Applied Mathematics. Oct2025, Vol. 55 Issue 10, p3104-3111. 8p. |
| Subjects: | Engineering reliability theory, Redundancy in engineering, Engineering systems, Newton-Raphson method, Constraint programming, Lagrange multiplier, Mathematical optimization |
| Abstract: | In reliability theory, technical systems are often modeled using Series-Parallel configurations, which provide a structured framework to analyze the relationship between the lifetimes of individual components and the overall system reliability. These configurations build upon the foundational concept of Parallel-Series systems and are widely used in system design and optimization. Traditionally, system optimization focuses on constraints such as cost. However, additional factors like weight, volume, size, and space also play critical roles, particularly in applications such as AC motor control units. This paper investigates the impact of multiple constraints on optimizing system reliability. We explore an Integrated Redundant Reliability Parallel-Series configuration system, specifically designed to address these multidimensional constraints. The model is developed and solved using the Lagrangean multiplier method (LMM), providing real-valued solutions for critical parameters, including the number of components, component reliability, stage reliability, and overall system reliability. To ensure practical applicability, integer solutions are derived by employing the Newton- Raphson method during the analytical process. This comprehensive approach facilitates a deeper understanding of how multiple constraints influence system reliability and offers valuable insights for optimizing complex technical systems. [ABSTRACT FROM AUTHOR] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 188428730 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Optimizing Parallel-Series Configurations for Reliability: Enhancing Integrated Redundancy. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Akiri%2C+Sridhar%22">Akiri, Sridhar</searchLink><relatesTo>1</relatesTo><i> sakiri@gitam.edu</i><br /><searchLink fieldCode="AR" term="%22Kapu%2C+Bhavani%22">Kapu, Bhavani</searchLink><relatesTo>2</relatesTo><i> bkapu@gitam.in</i><br /><searchLink fieldCode="AR" term="%22Bushan+Rao%2C+Peddi+Phani%22">Bushan Rao, Peddi Phani</searchLink><relatesTo>3</relatesTo><i> ppeddi@gitam.edu</i><br /><searchLink fieldCode="AR" term="%22Saripalli%2C+Arun+Kumar%22">Saripalli, Arun Kumar</searchLink><relatesTo>4</relatesTo><i> asaripal@gitam.in</i><br /><searchLink fieldCode="AR" term="%22Chesneau%2C+Christophe%22">Chesneau, Christophe</searchLink><relatesTo>5</relatesTo><i> christophe.chesneau@gmail.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Oct2025, Vol. 55 Issue 10, p3104-3111. 8p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Engineering+reliability+theory%22">Engineering reliability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Redundancy+in+engineering%22">Redundancy in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+systems%22">Engineering systems</searchLink><br /><searchLink fieldCode="DE" term="%22Newton-Raphson+method%22">Newton-Raphson method</searchLink><br /><searchLink fieldCode="DE" term="%22Constraint+programming%22">Constraint programming</searchLink><br /><searchLink fieldCode="DE" term="%22Lagrange+multiplier%22">Lagrange multiplier</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In reliability theory, technical systems are often modeled using Series-Parallel configurations, which provide a structured framework to analyze the relationship between the lifetimes of individual components and the overall system reliability. These configurations build upon the foundational concept of Parallel-Series systems and are widely used in system design and optimization. Traditionally, system optimization focuses on constraints such as cost. However, additional factors like weight, volume, size, and space also play critical roles, particularly in applications such as AC motor control units. This paper investigates the impact of multiple constraints on optimizing system reliability. We explore an Integrated Redundant Reliability Parallel-Series configuration system, specifically designed to address these multidimensional constraints. The model is developed and solved using the Lagrangean multiplier method (LMM), providing real-valued solutions for critical parameters, including the number of components, component reliability, stage reliability, and overall system reliability. To ensure practical applicability, integer solutions are derived by employing the Newton- Raphson method during the analytical process. This comprehensive approach facilitates a deeper understanding of how multiple constraints influence system reliability and offers valuable insights for optimizing complex technical systems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) 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: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 8 StartPage: 3104 Subjects: – SubjectFull: Engineering reliability theory Type: general – SubjectFull: Redundancy in engineering Type: general – SubjectFull: Engineering systems Type: general – SubjectFull: Newton-Raphson method Type: general – SubjectFull: Constraint programming Type: general – SubjectFull: Lagrange multiplier Type: general – SubjectFull: Mathematical optimization Type: general Titles: – TitleFull: Optimizing Parallel-Series Configurations for Reliability: Enhancing Integrated Redundancy. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Akiri, Sridhar – PersonEntity: Name: NameFull: Kapu, Bhavani – PersonEntity: Name: NameFull: Bushan Rao, Peddi Phani – PersonEntity: Name: NameFull: Saripalli, Arun Kumar – PersonEntity: Name: NameFull: Chesneau, Christophe IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2025 Type: published Y: 2025 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 55 – Type: issue Value: 10 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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