dc.contributor.author | Martínez Fernández, Luis | |
dc.contributor.author | Merino Maestre, María | |
dc.contributor.author | Montoya, Juan Manuel | |
dc.date.accessioned | 2023-06-30T16:56:49Z | |
dc.date.available | 2023-06-30T16:56:49Z | |
dc.date.issued | 2023 | |
dc.identifier.citation | Operations Research Perspectives 10 : (2023) // Article ID 100260 | es_ES |
dc.identifier.issn | 2214-7160 | |
dc.identifier.uri | http://hdl.handle.net/10810/61845 | |
dc.description.abstract | Orthogonal arrays are of great importance in mathematical sciences. This paper analyses a certain practical
advantage of quasi-difference matrices over difference matrices to obtain orthogonal arrays with given
parameters. We also study the existence of quasi-difference matrices over cyclic groups originating orthogonal
arrays with 𝑡 = 2 and 𝜆 = 1, proving their existence for some parameters sets. Moreover, we present an Integer
Programming model to find such quasi-difference matrices and also a Bimodal Local Search algorithm to obtain
them. We provide a conjecture related to the distributions of differences along rows and columns of arbitrary
square matrices with entries in a cyclic group in positions outside the main diagonal which shows an intriguing
symmetry, and we prove it when the matrix is a quasi-difference matrix | es_ES |
dc.description.sponsorship | Luis Martínez was supported by the UPV/EHU, Spain and Basque Center of Applied Mathematics, Spain, grant US21/27.
María Merino was supported by the Spanish Ministry of Science and Innovation through project PID2019-104933GB-I00/AEI/10.13039/ 501100011033 and BCAM Severo Ochoa accreditation, Spain SEV-2017-0718; and by the Basque Government, Spain through the program BERC 2022–2025 and the project IT1494-22; and by UPV/EHU, Spain through the project GIU20/054. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICIU/SEV-2017-0718 | es_ES |
dc.relation | info:eu-repo/grantAgreement/MICINN/PID2019-104933GB-I00 | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.subject | integer programming | es_ES |
dc.subject | bimodal local search | es_ES |
dc.subject | orthogonal arrays | es_ES |
dc.subject | automorphism groups | es_ES |
dc.subject | quasi-difference matrices | es_ES |
dc.title | An integer programming model for obtaining cyclic quasi-difference matrices | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.rights.holder | © 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.rights.holder | Atribución 3.0 España | * |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S2214716022000318 | es_ES |
dc.identifier.doi | 10.1016/j.orp.2022.100260 | |
dc.departamentoes | Matemáticas | es_ES |
dc.departamentoeu | Matematika | es_ES |