{"id":"https://openalex.org/W4389310523","doi":"https://doi.org/10.3390/computation11120242","title":"LP-Based Row Generation Using Optimization-Based Sorting Method for Solving Budget Allocation with a Combinatorial Number of Constraints","display_name":"LP-Based Row Generation Using Optimization-Based Sorting Method for Solving Budget Allocation with a Combinatorial Number of Constraints","publication_year":2023,"publication_date":"2023-12-03","ids":{"openalex":"https://openalex.org/W4389310523","doi":"https://doi.org/10.3390/computation11120242"},"language":"en","primary_location":{"id":"doi:10.3390/computation11120242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11120242","pdf_url":"https://www.mdpi.com/2079-3197/11/12/242/pdf?version=1701671177","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/12/242/pdf?version=1701671177","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071111113","display_name":"Aphisak Witthayapraphakorn","orcid":null},"institutions":[{"id":"https://openalex.org/I4210090662","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069","country_code":"TH","type":"education","lineage":["https://openalex.org/I4210090662"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Aphisak Witthayapraphakorn","raw_affiliation_strings":["Department of Industrial Engineering, Faculty of Engineering, University of Phayao, Phayao 56000, Thailand"],"raw_orcid":"https://orcid.org/0000-0002-4499-8795","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Faculty of Engineering, University of Phayao, Phayao 56000, Thailand","institution_ids":["https://openalex.org/I4210090662"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043172274","display_name":"Sasarose Jaijit","orcid":"https://orcid.org/0000-0002-7260-1724"},"institutions":[{"id":"https://openalex.org/I198105771","display_name":"Kasetsart University","ror":"https://ror.org/05gzceg21","country_code":"TH","type":"education","lineage":["https://openalex.org/I198105771"]}],"countries":["TH"],"is_corresponding":true,"raw_author_name":"Sasarose Jaijit","raw_affiliation_strings":["Department of Industrial Engineering, Faculty of Engineering at Kamphaeng Saen, Kasetsart University, Nakhon Pathom 73140, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Faculty of Engineering at Kamphaeng Saen, Kasetsart University, Nakhon Pathom 73140, Thailand","institution_ids":["https://openalex.org/I198105771"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051867457","display_name":"Peerayuth Charnsethikul","orcid":"https://orcid.org/0000-0002-6224-0232"},"institutions":[{"id":"https://openalex.org/I198105771","display_name":"Kasetsart University","ror":"https://ror.org/05gzceg21","country_code":"TH","type":"education","lineage":["https://openalex.org/I198105771"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Peerayuth Charnsethikul","raw_affiliation_strings":["Department of Industrial Engineering, Faculty of Engineering, Kasetsart University, Bangkok 10900, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, Faculty of Engineering, Kasetsart University, Bangkok 10900, Thailand","institution_ids":["https://openalex.org/I198105771"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043172274"],"corresponding_institution_ids":["https://openalex.org/I198105771"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.1975,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.60846976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"11","issue":"12","first_page":"242","last_page":"242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9945999979972839,"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":0.9945999979972839,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9801999926567078,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.865978479385376},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7413533926010132},{"id":"https://openalex.org/keywords/combinatorial-optimization","display_name":"Combinatorial optimization","score":0.6499277949333191},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6022361516952515},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.5133930444717407},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.47501906752586365},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.46560174226760864},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.4212460517883301},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30682146549224854},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.27498766779899597},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26160091161727905},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07843300700187683}],"concepts":[{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.865978479385376},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7413533926010132},{"id":"https://openalex.org/C52692508","wikidata":"https://www.wikidata.org/wiki/Q1333872","display_name":"Combinatorial optimization","level":2,"score":0.6499277949333191},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6022361516952515},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.5133930444717407},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.47501906752586365},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.46560174226760864},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.4212460517883301},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30682146549224854},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.27498766779899597},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26160091161727905},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07843300700187683}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/computation11120242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11120242","pdf_url":"https://www.mdpi.com/2079-3197/11/12/242/pdf?version=1701671177","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0f273a9ead7a4bc6ba9adacf67d220ac","is_oa":true,"landing_page_url":"https://doaj.org/article/0f273a9ead7a4bc6ba9adacf67d220ac","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 12, p 242 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computation11120242","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11120242","pdf_url":"https://www.mdpi.com/2079-3197/11/12/242/pdf?version=1701671177","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.4099999964237213,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322722","display_name":"Kasetsart University","ror":"https://ror.org/05gzceg21"},{"id":"https://openalex.org/F4320326818","display_name":"University of Phayao","ror":"https://ror.org/00a5mh069"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389310523.pdf"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1981420800","https://openalex.org/W2005581934","https://openalex.org/W2044121814","https://openalex.org/W2051683869","https://openalex.org/W2056628523","https://openalex.org/W2061987651","https://openalex.org/W2092274493","https://openalex.org/W2100211218","https://openalex.org/W2115819683","https://openalex.org/W2257455891","https://openalex.org/W2301790113","https://openalex.org/W2522807172","https://openalex.org/W2800285872","https://openalex.org/W3110592891","https://openalex.org/W3131822544","https://openalex.org/W3161191546","https://openalex.org/W3163588158","https://openalex.org/W3169132474","https://openalex.org/W3174790166","https://openalex.org/W3175339014","https://openalex.org/W4210561148","https://openalex.org/W4231970910","https://openalex.org/W4306740563","https://openalex.org/W4324342686","https://openalex.org/W4362588083","https://openalex.org/W6775099807"],"related_works":["https://openalex.org/W2185826091","https://openalex.org/W2048470382","https://openalex.org/W2477407501","https://openalex.org/W2384679317","https://openalex.org/W2911215968","https://openalex.org/W1583787753","https://openalex.org/W1570109187","https://openalex.org/W2491692165","https://openalex.org/W2366013513","https://openalex.org/W4244786412"],"abstract_inverted_index":{"A":[0],"novel":[1],"approach":[2,27,59,84,102],"was":[3],"developed":[4],"that":[5,51],"combined":[6],"LP-based":[7],"row":[8,32],"generation":[9,33],"with":[10,22,73],"optimization-based":[11,38],"sorting":[12,39],"to":[13,40,96,111],"tackle":[14],"computational":[15,105],"challenges":[16],"posed":[17],"by":[18],"budget":[19],"allocation":[20],"problems":[21],"combinatorial":[23],"constraints.":[24],"The":[25,100],"proposed":[26,58,83,101],"dynamically":[28],"generated":[29],"constraints":[30],"using":[31,37],"and":[34,47,79,107],"prioritized":[35],"them":[36],"ensure":[41],"a":[42,71,86],"high-quality":[43],"solution.":[44],"Computational":[45],"experiments":[46],"case":[48],"studies":[49],"revealed":[50],"as":[52],"the":[53,57,82,97],"problem":[54,72,98],"size":[55],"increased,":[56],"outperformed":[60],"simplex":[61],"solutions":[62],"in":[63,88],"terms":[64],"of":[65],"solution":[66,87,108],"search":[67],"time.":[68],"Specifically,":[69],"for":[70],"50":[74],"projects":[75],"(N":[76],"=":[77],"50)":[78],"2,251,799,813,685,250":[80],"constraints,":[81],"found":[85],"just":[89],"1.4":[90],"s,":[91],"while":[92],"LP":[93,113],"failed":[94],"due":[95],"size.":[99],"demonstrated":[103],"enhanced":[104],"efficiency":[106],"quality":[109],"compared":[110],"traditional":[112],"methods.":[114]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}
