{"id":"https://openalex.org/W2397139269","doi":"https://doi.org/10.3103/s0146411615040082","title":"Solving the mixed-integer knapsack problem by decrease of dimension and use of dynamic programming","display_name":"Solving the mixed-integer knapsack problem by decrease of dimension and use of dynamic programming","publication_year":2015,"publication_date":"2015-07-01","ids":{"openalex":"https://openalex.org/W2397139269","doi":"https://doi.org/10.3103/s0146411615040082","mag":"2397139269"},"language":"en","primary_location":{"id":"doi:10.3103/s0146411615040082","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411615040082","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112227028","display_name":"\u041a. Sh. Mamedov","orcid":null},"institutions":[{"id":"https://openalex.org/I126595936","display_name":"Azerbaijan National Academy of Sciences","ror":"https://ror.org/006m4q736","country_code":"AZ","type":"funder","lineage":["https://openalex.org/I126595936"]}],"countries":["AZ"],"is_corresponding":true,"raw_author_name":"K. Sh. Mamedov","raw_affiliation_strings":["Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan","institution_ids":["https://openalex.org/I126595936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111795530","display_name":"K. K. Mamedov","orcid":null},"institutions":[{"id":"https://openalex.org/I126595936","display_name":"Azerbaijan National Academy of Sciences","ror":"https://ror.org/006m4q736","country_code":"AZ","type":"funder","lineage":["https://openalex.org/I126595936"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"K. K. Mamedov","raw_affiliation_strings":["Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan","institution_ids":["https://openalex.org/I126595936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048750217","display_name":"S. K. Elchueva","orcid":null},"institutions":[{"id":"https://openalex.org/I126595936","display_name":"Azerbaijan National Academy of Sciences","ror":"https://ror.org/006m4q736","country_code":"AZ","type":"funder","lineage":["https://openalex.org/I126595936"]}],"countries":["AZ"],"is_corresponding":false,"raw_author_name":"S. K. Elchueva","raw_affiliation_strings":["Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan"],"affiliations":[{"raw_affiliation_string":"Institute of Control Systems, National Academy of Sciences of Azerbaijan, ul. B. Vagabzade 9, Baku, AZ-1141, Azerbaijan","institution_ids":["https://openalex.org/I126595936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112227028"],"corresponding_institution_ids":["https://openalex.org/I126595936"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.28834861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"49","issue":"4","first_page":"231","last_page":"238"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11814","display_name":"Advanced Manufacturing and Logistics Optimization","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12707","display_name":"Vehicle License Plate Recognition","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.825907826423645},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7322045564651489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7266923785209656},{"id":"https://openalex.org/keywords/change-making-problem","display_name":"Change-making problem","score":0.7034533619880676},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.6741950511932373},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.624235987663269},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5736756324768066},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.5402398705482483},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.48212361335754395},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4789721965789795},{"id":"https://openalex.org/keywords/constraint-programming","display_name":"Constraint programming","score":0.4764159917831421},{"id":"https://openalex.org/keywords/cutting-stock-problem","display_name":"Cutting stock problem","score":0.4712182581424713},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.2944546639919281},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2852640151977539},{"id":"https://openalex.org/keywords/continuous-knapsack-problem","display_name":"Continuous knapsack problem","score":0.2780892550945282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24802088737487793},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.1500014364719391}],"concepts":[{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.825907826423645},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7322045564651489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7266923785209656},{"id":"https://openalex.org/C17722475","wikidata":"https://www.wikidata.org/wiki/Q3406279","display_name":"Change-making problem","level":4,"score":0.7034533619880676},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.6741950511932373},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.624235987663269},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5736756324768066},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.5402398705482483},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.48212361335754395},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4789721965789795},{"id":"https://openalex.org/C173404611","wikidata":"https://www.wikidata.org/wiki/Q528588","display_name":"Constraint programming","level":3,"score":0.4764159917831421},{"id":"https://openalex.org/C37307619","wikidata":"https://www.wikidata.org/wiki/Q1306230","display_name":"Cutting stock problem","level":3,"score":0.4712182581424713},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.2944546639919281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2852640151977539},{"id":"https://openalex.org/C94569963","wikidata":"https://www.wikidata.org/wiki/Q5165487","display_name":"Continuous knapsack problem","level":3,"score":0.2780892550945282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24802088737487793},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.1500014364719391},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3103/s0146411615040082","is_oa":false,"landing_page_url":"https://doi.org/10.3103/s0146411615040082","pdf_url":null,"source":{"id":"https://openalex.org/S17203304","display_name":"Automatic Control and Computer Sciences","issn_l":"0146-4116","issn":["0146-4116","1558-108X"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Automatic Control and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1990267895","https://openalex.org/W2015560140","https://openalex.org/W2172226214","https://openalex.org/W2490340839"],"related_works":["https://openalex.org/W2005493932","https://openalex.org/W4249611560","https://openalex.org/W2020081923","https://openalex.org/W2889442766","https://openalex.org/W4256002267","https://openalex.org/W2029332305","https://openalex.org/W1966986652","https://openalex.org/W1563501581","https://openalex.org/W2367132302","https://openalex.org/W2142105839"],"abstract_inverted_index":{"A":[0],"method":[1,18,68],"for":[2,31,45,50],"finding":[3],"an":[4],"optimal":[5],"solution":[6],"of":[7,22,27,39,57],"mixed-integer":[8],"programming":[9,41],"problems":[10,56],"with":[11],"one":[12,35],"constraint":[13],"is":[14,71],"proposed.":[15],"Initially,":[16],"this":[17],"lessens":[19],"the":[20,25,32,67],"number":[21],"variables":[23],"and":[24],"interval":[26],"their":[28],"change;":[29],"then,":[30],"resulting":[33],"problem":[34],"derives":[36],"recurrent":[37],"relations":[38],"dynamic":[40],"that":[42,66],"are":[43],"used":[44],"computing.":[46],"Using":[47],"a":[48,58],"matrix":[49],"information":[51],"storage,":[52],"we":[53],"can":[54],"solve":[55],"suffi-ciently":[59],"large":[60],"dimension.":[61],"The":[62],"computational":[63],"experiments":[64],"demonstrate":[65],"in":[69],"question":[70],"highly":[72],"efficient.":[73]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}