{"@context":"http://schema.org","@type":"Dataset","@id":"https://doi.org/10.13130/RD_UNIMI/3QA23K","identifier":"https://doi.org/10.13130/RD_UNIMI/3QA23K","name":"Replication data for \"Dantzig–Wolfe reformulations for binary quadratic problems\" - kQKP dataset","creator":[{"@type":"Person","givenName":"Alberto","familyName":"Ceselli","affiliation":{"@type":"Organization","name":"Dipartimento di Informatica, Università degli Studi di Milano"},"name":"Ceselli, Alberto"},{"@type":"Person","givenName":"Lucas","familyName":"Létocart","affiliation":{"@type":"Organization","name":"Université Sorbonne Paris Nord, LIPN, CNRS"},"name":"Létocart, Lucas"},{"@type":"Person","givenName":"Emiliano","familyName":"Traversi","affiliation":{"@type":"Organization","name":"Université Sorbonne Paris Nord, LIPN, CNRS"},"name":"Traversi, Emiliano"}],"author":[{"@type":"Person","givenName":"Alberto","familyName":"Ceselli","affiliation":{"@type":"Organization","name":"Dipartimento di Informatica, Università degli Studi di Milano"},"name":"Ceselli, Alberto"},{"@type":"Person","givenName":"Lucas","familyName":"Létocart","affiliation":{"@type":"Organization","name":"Université Sorbonne Paris Nord, LIPN, CNRS"},"name":"Létocart, Lucas"},{"@type":"Person","givenName":"Emiliano","familyName":"Traversi","affiliation":{"@type":"Organization","name":"Université Sorbonne Paris Nord, LIPN, CNRS"},"name":"Traversi, Emiliano"}],"datePublished":"2021-07-27","dateModified":"2023-11-30","version":"1","description":"The dataset contains instances for the cardinality constrained quadratic knapsack problem. These are used to test decomposition methods for Binary Quadratic Programs. Full details are given in the corresponding paper \"Dantzig-Wolfe Reformulations for Binary Quadratic Problems \". The dataset contains three sets of instances - qcr_instances: base instance, together with the optimal quadratic convex reformulation (QCR) multipliers found by solving an associated semidefinite program - mqcr_instances: base instance, together with the optimal improved convex 0-1 quadratic program reformulation (MQCR) multipliers found by solving an associated semidefinite program - convexity_analysis: instances in which the objective function quadratic cost matrix has a given number of positive eigenvalues.","keywords":["Computer and Information Science","Mathematical Sciences","Mathematical programming","decomposition methods"],"citation":[{"@type":"CreativeWork","name":"Ceselli, A., Létocart, L. & Traversi, E. Dantzig–Wolfe reformulations for binary quadratic problems. Math. Prog. Comp. 14, 85–120 (2022). https://doi.org/10.1007/s12532-021-00206-w","@id":"https://link.springer.com/article/10.1007/s12532-021-00206-w","identifier":"https://link.springer.com/article/10.1007/s12532-021-00206-w","url":"https://link.springer.com/article/10.1007/s12532-021-00206-w"}],"license":"http://creativecommons.org/publicdomain/zero/1.0","includedInDataCatalog":{"@type":"DataCatalog","name":"UNIMI Dataverse","url":"https://dataverse.unimi.it"},"publisher":{"@type":"Organization","name":"UNIMI Dataverse"},"provider":{"@type":"Organization","name":"UNIMI Dataverse"},"distribution":[{"@type":"DataDownload","name":"convexity_analysis.tgz","encodingFormat":"application/x-compressed-tar","contentSize":78809623,"description":"Base instances, together with QCR multipliers. Data is given in folders, of the form __. Each folder contains ten subfolders, one for each instance.","@id":"https://doi.org/10.13130/RD_UNIMI/3QA23K/GTF7GP","identifier":"https://doi.org/10.13130/RD_UNIMI/3QA23K/GTF7GP","contentUrl":"https://dataverse.unimi.it/api/access/datafile/6384"},{"@type":"DataDownload","name":"mqcr_instances.tgz","encodingFormat":"application/x-compressed-tar","contentSize":31896771,"description":"Base instances, together with MQCR multipliers. Data is given in folders, of the form _. Each folder contains ten subfolders, one for each instance.","@id":"https://doi.org/10.13130/RD_UNIMI/3QA23K/78LZKJ","identifier":"https://doi.org/10.13130/RD_UNIMI/3QA23K/78LZKJ","contentUrl":"https://dataverse.unimi.it/api/access/datafile/6386"},{"@type":"DataDownload","name":"qcr_instances.tgz","encodingFormat":"application/x-compressed-tar","contentSize":19289855,"description":"Base instances, together with QCR multipliers. Data is given in folders, of the form _. Each folder contains ten subfolders, one for each instance.","@id":"https://doi.org/10.13130/RD_UNIMI/3QA23K/JWJA3W","identifier":"https://doi.org/10.13130/RD_UNIMI/3QA23K/JWJA3W","contentUrl":"https://dataverse.unimi.it/api/access/datafile/6385"}]}