{"id":"https://openalex.org/W1982769800","doi":"https://doi.org/10.1080/00207160701818992","title":"Modification and implementation of two-phase simplex method","display_name":"Modification and implementation of two-phase simplex method","publication_year":2008,"publication_date":"2008-08-13","ids":{"openalex":"https://openalex.org/W1982769800","doi":"https://doi.org/10.1080/00207160701818992","mag":"1982769800"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701818992","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701818992","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","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/A5022149604","display_name":"Neboj\u0161a V. Stojkovi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":true,"raw_author_name":"Neboj\u0161a V. Stojkovi\u0107","raw_affiliation_strings":["Faculty of Economics , University of Ni\u0161 , Ni\u0161, Serbia"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics , University of Ni\u0161 , Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038736735","display_name":"Predrag S. Stanimirovi\u0107","orcid":"https://orcid.org/0000-0003-0655-3741"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Predrag S. Stanimirovi\u0107","raw_affiliation_strings":["Department of Mathematics, Faculty of Science , University of Ni\u0161 , Ni\u0161, Serbia","Department of Mathematics, Faculty of Science, University of Ni\u0161, Ni\u0161, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science , University of Ni\u0161 , Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Ni\u0161, Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067141362","display_name":"Marko D. Petkovi\u0107","orcid":"https://orcid.org/0000-0002-6862-1968"},"institutions":[{"id":"https://openalex.org/I152518017","display_name":"University of Nis","ror":"https://ror.org/00965bg92","country_code":"RS","type":"education","lineage":["https://openalex.org/I152518017"]}],"countries":["RS"],"is_corresponding":false,"raw_author_name":"Marko D. Petkovi\u0107","raw_affiliation_strings":["Department of Mathematics, Faculty of Science , University of Ni\u0161 , Ni\u0161, Serbia","Department of Mathematics, Faculty of Science, University of Ni\u0161, Ni\u0161, Serbia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science , University of Ni\u0161 , Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, University of Ni\u0161, Ni\u0161, Serbia","institution_ids":["https://openalex.org/I152518017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5022149604"],"corresponding_institution_ids":["https://openalex.org/I152518017"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.07896544,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"7","first_page":"1231","last_page":"1242"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.8097000122070312,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.8097000122070312,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.6926000118255615,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13935","display_name":"Mathematical Control Systems and Analysis","score":0.6837000250816345,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.7879416942596436},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.7494362592697144},{"id":"https://openalex.org/keywords/revised-simplex-method","display_name":"Revised simplex method","score":0.625196099281311},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5248351693153381},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.498673677444458},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.489148885011673},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.4373672306537628},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4333600699901581},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.43057942390441895},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4291473627090454},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3962864875793457},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3450634777545929},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06526988744735718}],"concepts":[{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7879416942596436},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.7494362592697144},{"id":"https://openalex.org/C191157680","wikidata":"https://www.wikidata.org/wiki/Q17085895","display_name":"Revised simplex method","level":4,"score":0.625196099281311},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5248351693153381},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.498673677444458},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.489148885011673},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.4373672306537628},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4333600699901581},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.43057942390441895},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4291473627090454},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3962864875793457},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3450634777545929},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06526988744735718},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207160701818992","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701818992","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6700000166893005,"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320310371","display_name":"University of Otago","ror":"https://ror.org/01jmxt844"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W219701461","https://openalex.org/W607624269","https://openalex.org/W1762430620","https://openalex.org/W2008772536","https://openalex.org/W2050766533","https://openalex.org/W2082824470","https://openalex.org/W2088932153","https://openalex.org/W3010782316","https://openalex.org/W4236752279","https://openalex.org/W4300803676"],"related_works":["https://openalex.org/W2133667137","https://openalex.org/W2384679317","https://openalex.org/W1570109187","https://openalex.org/W2911215968","https://openalex.org/W2366013513","https://openalex.org/W2477407501","https://openalex.org/W3125083766","https://openalex.org/W3143155029","https://openalex.org/W4244786412","https://openalex.org/W2028887049"],"abstract_inverted_index":{"We":[0,46],"investigate":[1],"the":[2,6,12,18,26,34,39,54],"problem":[3],"of":[4,17,25],"finding":[5],"initial":[7],"basic":[8],"feasible":[9],"solution":[10],"in":[11,33],"simplex":[13,20,28],"algorithm.":[14],"Two":[15],"modifications":[16,32],"two-phase":[19,27],"method":[21,29],"are":[22,44],"presented.":[23],"Implementations":[24],"and":[30,38],"its":[31],"programming":[35,40],"package":[36],"MATHEMATICA":[37],"language":[41],"Visual":[42],"Basic":[43],"written.":[45],"report":[47],"computational":[48],"results":[49],"on":[50],"numerical":[51],"examples":[52],"from":[53],"Netlib":[55],"test":[56],"set.":[57]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
