Benchmarking of Problems and Solvers: a Game-Theoretic Approach
In this note, we propose a game-theoretic approach for benchmarking computational problems and their solvers. The approach takes an assessment matrix as a payoff matrix for some zero-sum matrix game in which the first player chooses a problem and the second player chooses a solver. The solution in m...
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| Format: | Article |
| Language: | English |
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Sciendo
2019-06-01
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| Series: | Foundations of Computing and Decision Sciences |
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| Online Access: | https://doi.org/10.2478/fcds-2019-0008 |
| _version_ | 1818486190875082752 |
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| author | Gogodze Joseph |
| author_facet | Gogodze Joseph |
| author_sort | Gogodze Joseph |
| collection | DOAJ |
| description | In this note, we propose a game-theoretic approach for benchmarking computational problems and their solvers. The approach takes an assessment matrix as a payoff matrix for some zero-sum matrix game in which the first player chooses a problem and the second player chooses a solver. The solution in mixed strategies of this game is used to construct a notionally objective ranking of the problems and solvers under consideration. The proposed approach is illustrated in terms of an example to demonstrate its viability and its suitability for applications. |
| first_indexed | 2024-12-10T16:19:42Z |
| format | Article |
| id | doaj.art-e4e74532f6ab45d0a8aedb1c429b7706 |
| institution | Directory Open Access Journal |
| issn | 2300-3405 |
| language | English |
| last_indexed | 2024-12-10T16:19:42Z |
| publishDate | 2019-06-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Foundations of Computing and Decision Sciences |
| spelling | doaj.art-e4e74532f6ab45d0a8aedb1c429b77062022-12-22T01:41:52ZengSciendoFoundations of Computing and Decision Sciences2300-34052019-06-0144213715010.2478/fcds-2019-0008fcds-2019-0008Benchmarking of Problems and Solvers: a Game-Theoretic ApproachGogodze Joseph0Institute of Control System, TECHINFORMI, Georgian Technical University, 77 Kostava str.,, 0175 Tbilisi, Georgia.In this note, we propose a game-theoretic approach for benchmarking computational problems and their solvers. The approach takes an assessment matrix as a payoff matrix for some zero-sum matrix game in which the first player chooses a problem and the second player chooses a solver. The solution in mixed strategies of this game is used to construct a notionally objective ranking of the problems and solvers under consideration. The proposed approach is illustrated in terms of an example to demonstrate its viability and its suitability for applications.https://doi.org/10.2478/fcds-2019-0008benchmarkingsoftwaresolversproblemstestingmulti objective decision-making problem |
| spellingShingle | Gogodze Joseph Benchmarking of Problems and Solvers: a Game-Theoretic Approach Foundations of Computing and Decision Sciences benchmarking software solvers problems testing multi objective decision-making problem |
| title | Benchmarking of Problems and Solvers: a Game-Theoretic Approach |
| title_full | Benchmarking of Problems and Solvers: a Game-Theoretic Approach |
| title_fullStr | Benchmarking of Problems and Solvers: a Game-Theoretic Approach |
| title_full_unstemmed | Benchmarking of Problems and Solvers: a Game-Theoretic Approach |
| title_short | Benchmarking of Problems and Solvers: a Game-Theoretic Approach |
| title_sort | benchmarking of problems and solvers a game theoretic approach |
| topic | benchmarking software solvers problems testing multi objective decision-making problem |
| url | https://doi.org/10.2478/fcds-2019-0008 |
| work_keys_str_mv | AT gogodzejoseph benchmarkingofproblemsandsolversagametheoreticapproach |