{"id":"https://openalex.org/W2789429042","doi":"https://doi.org/10.4018/ijdsst.2018040101","title":"Parallel Hierarchical Pre-Gauss-Seidel Value Iteration Algorithm","display_name":"Parallel Hierarchical Pre-Gauss-Seidel Value Iteration Algorithm","publication_year":2018,"publication_date":"2018-02-05","ids":{"openalex":"https://openalex.org/W2789429042","doi":"https://doi.org/10.4018/ijdsst.2018040101","mag":"2789429042"},"language":"en","primary_location":{"id":"doi:10.4018/ijdsst.2018040101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijdsst.2018040101","pdf_url":null,"source":{"id":"https://openalex.org/S204805982","display_name":"International Journal of Decision Support System Technology","issn_l":"1941-6296","issn":["1941-6296","1941-630X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Decision Support System Technology","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/A5048195393","display_name":"Sanaa Chafik","orcid":"https://orcid.org/0000-0002-5566-3333"},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":true,"raw_author_name":"Sanaa Chafik","raw_affiliation_strings":["Sultan Moulay Slimane University, Beni Mellal, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sultan Moulay Slimane University, Beni Mellal, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063846271","display_name":"Abdelhadi Larach","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Abdelhadi Larach","raw_affiliation_strings":["Sultan Moulay Slimane University, Beni Mellal, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sultan Moulay Slimane University, Beni Mellal, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5078752367","display_name":"Cherki Daoui","orcid":"https://orcid.org/0000-0001-5435-6414"},"institutions":[{"id":"https://openalex.org/I4210119856","display_name":"Universit\u00e9 Sultan Moulay Slimane","ror":"https://ror.org/02m8tb249","country_code":"MA","type":"education","lineage":["https://openalex.org/I4210119856"]}],"countries":["MA"],"is_corresponding":false,"raw_author_name":"Cherki Daoui","raw_affiliation_strings":["Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sultan Moulay Slimane University, Beni Mellal, Morocco","institution_ids":["https://openalex.org/I4210119856"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048195393"],"corresponding_institution_ids":["https://openalex.org/I4210119856"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.02142304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":"2","first_page":"1","last_page":"22"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9988999962806702,"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"}},"topics":[{"id":"https://openalex.org/T11303","display_name":"Bayesian Modeling and Causal Inference","score":0.9988999962806702,"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"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9850000143051147,"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"}},{"id":"https://openalex.org/T12423","display_name":"Software Reliability and Analysis Research","score":0.9794999957084656,"subfield":{"id":"https://openalex.org/subfields/1712","display_name":"Software"},"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/gauss\u2013seidel-method","display_name":"Gauss\u2013Seidel method","score":0.8582155704498291},{"id":"https://openalex.org/keywords/markov-decision-process","display_name":"Markov decision process","score":0.6943389177322388},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6578767895698547},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5306759476661682},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4947485625743866},{"id":"https://openalex.org/keywords/jacobi-method","display_name":"Jacobi method","score":0.4807686507701874},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.4363093674182892},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42413875460624695},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.4237311780452728},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.4116152226924896},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3671634793281555},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.2159750759601593},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.18968713283538818}],"concepts":[{"id":"https://openalex.org/C3828260","wikidata":"https://www.wikidata.org/wiki/Q1069090","display_name":"Gauss\u2013Seidel method","level":3,"score":0.8582155704498291},{"id":"https://openalex.org/C106189395","wikidata":"https://www.wikidata.org/wiki/Q176789","display_name":"Markov decision process","level":3,"score":0.6943389177322388},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6578767895698547},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5306759476661682},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4947485625743866},{"id":"https://openalex.org/C67923128","wikidata":"https://www.wikidata.org/wiki/Q1481893","display_name":"Jacobi method","level":2,"score":0.4807686507701874},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.4363093674182892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42413875460624695},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.4237311780452728},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.4116152226924896},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3671634793281555},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.2159750759601593},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.18968713283538818},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.4018/ijdsst.2018040101","is_oa":false,"landing_page_url":"https://doi.org/10.4018/ijdsst.2018040101","pdf_url":null,"source":{"id":"https://openalex.org/S204805982","display_name":"International Journal of Decision Support System Technology","issn_l":"1941-6296","issn":["1941-6296","1941-630X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320424","host_organization_name":"IGI Global","host_organization_lineage":["https://openalex.org/P4310320424"],"host_organization_lineage_names":["IGI Global"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Decision Support System Technology","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:igg:jdsst0:v:10:y:2018:i:2:p:1-22","is_oa":false,"landing_page_url":"https://services.igi-global.com/resolvedoi/resolve.aspx?doi=10.4018/IJDSST.2018040101","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.7300000190734863,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W36013382","https://openalex.org/W52153049","https://openalex.org/W141456974","https://openalex.org/W1516418405","https://openalex.org/W1557798492","https://openalex.org/W1972616929","https://openalex.org/W1975754951","https://openalex.org/W1981502333","https://openalex.org/W1983920151","https://openalex.org/W1988794218","https://openalex.org/W1991799203","https://openalex.org/W1996660883","https://openalex.org/W1998212043","https://openalex.org/W2003333103","https://openalex.org/W2009533501","https://openalex.org/W2014366796","https://openalex.org/W2020609518","https://openalex.org/W2027553546","https://openalex.org/W2030072125","https://openalex.org/W2044387322","https://openalex.org/W2058020333","https://openalex.org/W2074232820","https://openalex.org/W2075410688","https://openalex.org/W2081612620","https://openalex.org/W2082164600","https://openalex.org/W2091387107","https://openalex.org/W2100764713","https://openalex.org/W2102903729","https://openalex.org/W2114941947","https://openalex.org/W2116387273","https://openalex.org/W2116637980","https://openalex.org/W2117457469","https://openalex.org/W2118382442","https://openalex.org/W2125838338","https://openalex.org/W2138309709","https://openalex.org/W2138334824","https://openalex.org/W2149123784","https://openalex.org/W2162337843","https://openalex.org/W2171539604","https://openalex.org/W2334782222","https://openalex.org/W2438667436","https://openalex.org/W2499905000","https://openalex.org/W2508557117","https://openalex.org/W2524273003","https://openalex.org/W2601872155","https://openalex.org/W4243139836","https://openalex.org/W4252331534"],"related_works":["https://openalex.org/W3097974237","https://openalex.org/W2281025351","https://openalex.org/W2968546177","https://openalex.org/W73921606","https://openalex.org/W2889431757","https://openalex.org/W64636633","https://openalex.org/W2358921742","https://openalex.org/W2074512878","https://openalex.org/W1772859350","https://openalex.org/W3119667263"],"abstract_inverted_index":{"The":[0],"standard":[1],"Value":[2,9,17,54],"Iteration":[3,10,18,55],"(VI)":[4],"algorithm,":[5,13,52,77],"referred":[6],"to":[7,42,86],"as":[8],"Pre-Jacobi":[11],"(PJ-VI)":[12],"is":[14],"the":[15,21,31,44,48,53,60,68,71,78,82,104,109,112],"simplest":[16],"scheme,":[19],"and":[20,59,81],"well-known":[22],"algorithm":[23,37,58],"for":[24],"solving":[25],"Markov":[26],"Decision":[27],"Processes":[28],"(MDPs).":[29],"In":[30,65],"literature,":[32],"several":[33],"versions":[34],"of":[35,46,73],"VI":[36,49,61,74,92,106],"were":[38],"developed":[39],"in":[40,84,108],"order":[41,85],"reduce":[43],"number":[45],"iterations:":[47],"Jacobi":[50],"(VI-J)":[51],"Pre-Gauss-Seidel":[56,93],"(VI-PGS)":[57],"Gauss-Seidel":[62,76],"(VI-GS)":[63],"algorithm.":[64,94],"this":[66],"article,":[67],"authors":[69],"combine":[70],"advantages":[72],"Pre":[75],"decomposition":[79],"technique":[80],"parallelism":[83],"propose":[87],"a":[88],"new":[89],"Parallel":[90],"Hierarchical":[91],"Experimental":[95],"results":[96],"show":[97],"that":[98],"their":[99],"approach":[100],"performs":[101],"better":[102],"than":[103],"traditional":[105],"schemes":[107],"case":[110],"where":[111],"global":[113],"problem":[114],"can":[115],"be":[116],"decomposed":[117],"into":[118],"smaller":[119],"problems.":[120]},"counts_by_year":[],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
