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Benchmarking of Problems and Solvers: a Game-Theoretic Approach Cover

Benchmarking of Problems and Solvers: a Game-Theoretic Approach

By: Joseph Gogodze  
Open Access
|Jun 2019

Abstract

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.

DOI: https://doi.org/10.2478/fcds-2019-0008 | Journal eISSN: 2300-3405 | Journal ISSN: 0867-6356
Language: English
Page range: 137 - 150
Submitted on: Jul 18, 2018
Accepted on: Jan 14, 2019
Published on: Jun 6, 2019
Published by: Poznan University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2019 Joseph Gogodze, published by Poznan University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.