Settling Multiple Debts Efficiently: An Invitation to Computing Science

I present and solve several problems related to the settling of multiple debts. The solutions are documented in much detail, with (bright) high-school students in mind. One of the variants has a simple solution, though it is not so easy to code concisely. Another variant is an elegant NP-hard proble...

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Bibliographic Details
Main Author: Tom VERHOEFF
Format: Article
Language:English
Published: Vilnius University 2004-04-01
Series:Informatics in Education
Subjects:
Online Access:http://www.mii.lt/informatics_in_education/pdf/INFE023.pdf
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spelling doaj-c4d66e9896804b0f9c3007d07968c9982021-01-02T04:02:16ZengVilnius UniversityInformatics in Education1648-58312004-04-0131105126Settling Multiple Debts Efficiently: An Invitation to Computing ScienceTom VERHOEFF0Faculty of Mathematics and Computing Science, Eindhoven University of Technology Den Dolech 2, NL-5612 AZ, Eindhoven, The Netherlands I present and solve several problems related to the settling of multiple debts. The solutions are documented in much detail, with (bright) high-school students in mind. One of the variants has a simple solution, though it is not so easy to code concisely. Another variant is an elegant NP-hard problem. The problem leads into important areas of mathematics and computing science, making it suitable as an invitation to these subjects.http://www.mii.lt/informatics_in_education/pdf/INFE023.pdfcomputing science educationcombinatorial optimizationbalanced transportation problemuncapacitated fixed-charge network flowNP-completeness
collection DOAJ
language English
format Article
sources DOAJ
author Tom VERHOEFF
spellingShingle Tom VERHOEFF
Settling Multiple Debts Efficiently: An Invitation to Computing Science
Informatics in Education
computing science education
combinatorial optimization
balanced transportation problem
uncapacitated fixed-charge network flow
NP-completeness
author_facet Tom VERHOEFF
author_sort Tom VERHOEFF
title Settling Multiple Debts Efficiently: An Invitation to Computing Science
title_short Settling Multiple Debts Efficiently: An Invitation to Computing Science
title_full Settling Multiple Debts Efficiently: An Invitation to Computing Science
title_fullStr Settling Multiple Debts Efficiently: An Invitation to Computing Science
title_full_unstemmed Settling Multiple Debts Efficiently: An Invitation to Computing Science
title_sort settling multiple debts efficiently: an invitation to computing science
publisher Vilnius University
series Informatics in Education
issn 1648-5831
publishDate 2004-04-01
description I present and solve several problems related to the settling of multiple debts. The solutions are documented in much detail, with (bright) high-school students in mind. One of the variants has a simple solution, though it is not so easy to code concisely. Another variant is an elegant NP-hard problem. The problem leads into important areas of mathematics and computing science, making it suitable as an invitation to these subjects.
topic computing science education
combinatorial optimization
balanced transportation problem
uncapacitated fixed-charge network flow
NP-completeness
url http://www.mii.lt/informatics_in_education/pdf/INFE023.pdf
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