The single-dependence sequential testing problem for the living kidney donor workup process.
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| Title: | The single-dependence sequential testing problem for the living kidney donor workup process. |
|---|---|
| Authors: | Nielsen, Joshua1 (AUTHOR) joshua.nielsen@louisville.edu, El-Amine, Hadi2 (AUTHOR), Gentili, Monica1 (AUTHOR), Koizumi, Naoru3 (AUTHOR) |
| Source: | Soft Computing - A Fusion of Foundations, Methodologies & Applications. Jun2026, Vol. 30 Issue 6, p4127-4142. 16p. |
| Subjects: | Organ donation, Conditional probability, Algorithms, Statistical correlation, Diagnosis, Mathematical optimization, Cost functions |
| Abstract: | The Sequential Testing Problem (STP) seeks to minimize the total expected cost of administering a series of tests which determine the state of a k-out-of-n system. In the baseline case of the STP where the probabilities of passing or failing a test are independent, the problem can be solved to to optimality in polynomial time. However, there is little research exploring the effect of dependency between tests, which greatly complicates the problem. Motivated by the process of evaluating living kidney donors, we explore a variant of the STP where the probability of passing a given test in an n-out-of-n sequence is approximated as the probability of passing the test given that the donor has passed the preceding test. We refer to this variant as the Single-Dependence Sequential Testing Problem (SDSTP). We present an optimization model to solve the SDSTP to optimality and simple—but effective—methods to approximate the solution. Our experiments show that the model can be solved to optimality for many practical applications where the set of tests is small (say, less than 20), and our proposed algorithms also find near-optimal solutions in rapid time even for large numbers of tests. [ABSTRACT FROM AUTHOR] |
| Copyright of Soft Computing - A Fusion of Foundations, Methodologies & Applications is the property of Springer Nature 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 |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195076848 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: The single-dependence sequential testing problem for the living kidney donor workup process. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nielsen%2C+Joshua%22">Nielsen, Joshua</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> joshua.nielsen@louisville.edu</i><br /><searchLink fieldCode="AR" term="%22El-Amine%2C+Hadi%22">El-Amine, Hadi</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Gentili%2C+Monica%22">Gentili, Monica</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Koizumi%2C+Naoru%22">Koizumi, Naoru</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Soft+Computing+-+A+Fusion+of+Foundations%2C+Methodologies+%26+Applications%22">Soft Computing - A Fusion of Foundations, Methodologies & Applications</searchLink>. Jun2026, Vol. 30 Issue 6, p4127-4142. 16p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Organ+donation%22">Organ donation</searchLink><br /><searchLink fieldCode="DE" term="%22Conditional+probability%22">Conditional probability</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+correlation%22">Statistical correlation</searchLink><br /><searchLink fieldCode="DE" term="%22Diagnosis%22">Diagnosis</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+optimization%22">Mathematical optimization</searchLink><br /><searchLink fieldCode="DE" term="%22Cost+functions%22">Cost functions</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The Sequential Testing Problem (STP) seeks to minimize the total expected cost of administering a series of tests which determine the state of a k-out-of-n system. In the baseline case of the STP where the probabilities of passing or failing a test are independent, the problem can be solved to to optimality in polynomial time. However, there is little research exploring the effect of dependency between tests, which greatly complicates the problem. Motivated by the process of evaluating living kidney donors, we explore a variant of the STP where the probability of passing a given test in an n-out-of-n sequence is approximated as the probability of passing the test given that the donor has passed the preceding test. We refer to this variant as the Single-Dependence Sequential Testing Problem (SDSTP). We present an optimization model to solve the SDSTP to optimality and simple—but effective—methods to approximate the solution. Our experiments show that the model can be solved to optimality for many practical applications where the set of tests is small (say, less than 20), and our proposed algorithms also find near-optimal solutions in rapid time even for large numbers of tests. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Soft Computing - A Fusion of Foundations, Methodologies & Applications is the property of Springer Nature 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: 10.1007/s00500-025-10823-5 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 16 StartPage: 4127 Subjects: – SubjectFull: Organ donation Type: general – SubjectFull: Conditional probability Type: general – SubjectFull: Algorithms Type: general – SubjectFull: Statistical correlation Type: general – SubjectFull: Diagnosis Type: general – SubjectFull: Mathematical optimization Type: general – SubjectFull: Cost functions Type: general Titles: – TitleFull: The single-dependence sequential testing problem for the living kidney donor workup process. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nielsen, Joshua – PersonEntity: Name: NameFull: El-Amine, Hadi – PersonEntity: Name: NameFull: Gentili, Monica – PersonEntity: Name: NameFull: Koizumi, Naoru IsPartOfRelationships: – BibEntity: Dates: – D: 15 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 14327643 Numbering: – Type: volume Value: 30 – Type: issue Value: 6 Titles: – TitleFull: Soft Computing - A Fusion of Foundations, Methodologies & Applications Type: main |
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