{"id":"https://openalex.org/W2105083421","doi":"https://doi.org/10.1109/tvt.2014.2329864","title":"Analytic Solutions to the Dynamic Programming Subproblem in Hybrid Vehicle Energy Management","display_name":"Analytic Solutions to the Dynamic Programming Subproblem in Hybrid Vehicle Energy Management","publication_year":2014,"publication_date":"2014-06-18","ids":{"openalex":"https://openalex.org/W2105083421","doi":"https://doi.org/10.1109/tvt.2014.2329864","mag":"2105083421"},"language":"en","primary_location":{"id":"doi:10.1109/tvt.2014.2329864","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2014.2329864","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7086134/06828783.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ieeexplore.ieee.org/ielx7/25/7086134/06828783.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056112272","display_name":"Viktor Larsson","orcid":"https://orcid.org/0000-0001-8427-7215"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Viktor Larsson","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, G\u00f6teborg, Sweden","Dept. of Signals and Systems, Chalmers Univ. of Technology, G\u00f6teborg, Sweden#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"Dept. of Signals and Systems, Chalmers Univ. of Technology, G\u00f6teborg, Sweden#TAB#","institution_ids":["https://openalex.org/I66862912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048168519","display_name":"Lars Johannesson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lars Johannesson","raw_affiliation_strings":["Viktoria Swedish ICT, G\u00f6teborg, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Viktoria Swedish ICT, G\u00f6teborg, Sweden","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053881524","display_name":"Bo Egardt","orcid":"https://orcid.org/0000-0003-4239-2076"},"institutions":[{"id":"https://openalex.org/I66862912","display_name":"Chalmers University of Technology","ror":"https://ror.org/040wg7k59","country_code":"SE","type":"education","lineage":["https://openalex.org/I66862912"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Bo Egardt","raw_affiliation_strings":["Department of Signals and Systems, Chalmers University of Technology, G\u00f6teborg, Sweden","Dept. of Signals and Systems, Chalmers Univ. of Technology, G\u00f6teborg, Sweden#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Signals and Systems, Chalmers University of Technology, G\u00f6teborg, Sweden","institution_ids":["https://openalex.org/I66862912"]},{"raw_affiliation_string":"Dept. of Signals and Systems, Chalmers Univ. of Technology, G\u00f6teborg, Sweden#TAB#","institution_ids":["https://openalex.org/I66862912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.9272,"has_fulltext":true,"cited_by_count":129,"citation_normalized_percentile":{"value":0.95842406,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":"64","issue":"4","first_page":"1458","last_page":"1467"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10663","display_name":"Advanced Battery Technologies Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10663","display_name":"Advanced Battery Technologies Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T10768","display_name":"Electric Vehicles and Infrastructure","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10808","display_name":"Electric and Hybrid Vehicle Technologies","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/computation","display_name":"Computation","score":0.6956030130386353},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6769997477531433},{"id":"https://openalex.org/keywords/dynamic-programming","display_name":"Dynamic programming","score":0.6074112057685852},{"id":"https://openalex.org/keywords/spline","display_name":"Spline (mechanical)","score":0.5783898234367371},{"id":"https://openalex.org/keywords/linear-approximation","display_name":"Linear approximation","score":0.5374264121055603},{"id":"https://openalex.org/keywords/energy-management","display_name":"Energy management","score":0.5363997220993042},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.4813564419746399},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.47980764508247375},{"id":"https://openalex.org/keywords/torque","display_name":"Torque","score":0.47364723682403564},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.45335403084754944},{"id":"https://openalex.org/keywords/state-of-charge","display_name":"State of charge","score":0.4444717466831207},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.44008031487464905},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4213525652885437},{"id":"https://openalex.org/keywords/approximation-theory","display_name":"Approximation theory","score":0.42012906074523926},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.31018543243408203},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27314817905426025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18625286221504211},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.1732928454875946},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.07530021667480469}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6956030130386353},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6769997477531433},{"id":"https://openalex.org/C37404715","wikidata":"https://www.wikidata.org/wiki/Q380679","display_name":"Dynamic programming","level":2,"score":0.6074112057685852},{"id":"https://openalex.org/C10390562","wikidata":"https://www.wikidata.org/wiki/Q581809","display_name":"Spline (mechanical)","level":2,"score":0.5783898234367371},{"id":"https://openalex.org/C160824197","wikidata":"https://www.wikidata.org/wiki/Q2071054","display_name":"Linear approximation","level":3,"score":0.5374264121055603},{"id":"https://openalex.org/C7817414","wikidata":"https://www.wikidata.org/wiki/Q1779504","display_name":"Energy management","level":3,"score":0.5363997220993042},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.4813564419746399},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.47980764508247375},{"id":"https://openalex.org/C144171764","wikidata":"https://www.wikidata.org/wiki/Q48103","display_name":"Torque","level":2,"score":0.47364723682403564},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.45335403084754944},{"id":"https://openalex.org/C2776582896","wikidata":"https://www.wikidata.org/wiki/Q5368536","display_name":"State of charge","level":4,"score":0.4444717466831207},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.44008031487464905},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4213525652885437},{"id":"https://openalex.org/C145242015","wikidata":"https://www.wikidata.org/wiki/Q774123","display_name":"Approximation theory","level":2,"score":0.42012906074523926},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.31018543243408203},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27314817905426025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18625286221504211},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.1732928454875946},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.07530021667480469},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C555008776","wikidata":"https://www.wikidata.org/wiki/Q267298","display_name":"Battery (electricity)","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/tvt.2014.2329864","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2014.2329864","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7086134/06828783.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.917.7586","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.917.7586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://publications.lib.chalmers.se/records/fulltext/198986/local_198986.pdf","raw_type":"text"},{"id":"pmh:oai:publications.lib.chalmers.se:198986","is_oa":false,"landing_page_url":"http://publications.lib.chalmers.se/publication/198986-analytic-solutions-to-the-dynamic-programming-sub-problem-in-hybrid-vehicle-energy-management","pdf_url":null,"source":{"id":"https://openalex.org/S4377196470","display_name":"Chalmers Publication Library (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text.Article.Journal.PeerReviewed"},{"id":"pmh:oai:research.chalmers.se:198986","is_oa":false,"landing_page_url":"https://research.chalmers.se/en/publication/198986","pdf_url":null,"source":{"id":"https://openalex.org/S4306402469","display_name":"Chalmers Research (Chalmers University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I66862912","host_organization_name":"Chalmers University of Technology","host_organization_lineage":["https://openalex.org/I66862912"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"doi:10.1109/tvt.2014.2329864","is_oa":true,"landing_page_url":"https://doi.org/10.1109/tvt.2014.2329864","pdf_url":"https://ieeexplore.ieee.org/ielx7/25/7086134/06828783.pdf","source":{"id":"https://openalex.org/S10936095","display_name":"IEEE Transactions on Vehicular Technology","issn_l":"0018-9545","issn":["0018-9545","1939-9359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Vehicular Technology","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8899999856948853,"id":"https://metadata.un.org/sdg/7"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2105083421.pdf","grobid_xml":"https://content.openalex.org/works/W2105083421.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W152663305","https://openalex.org/W1495870701","https://openalex.org/W1576452626","https://openalex.org/W1969801327","https://openalex.org/W1975551865","https://openalex.org/W2012186120","https://openalex.org/W2017749620","https://openalex.org/W2041075675","https://openalex.org/W2062533874","https://openalex.org/W2063708741","https://openalex.org/W2069282906","https://openalex.org/W2094311908","https://openalex.org/W2095320849","https://openalex.org/W2098883090","https://openalex.org/W2109172209","https://openalex.org/W2115076582","https://openalex.org/W2117402460","https://openalex.org/W2118140192","https://openalex.org/W2119208341","https://openalex.org/W2125884948","https://openalex.org/W2157548698","https://openalex.org/W2161758672","https://openalex.org/W2165579389","https://openalex.org/W2296319761","https://openalex.org/W4250589301","https://openalex.org/W4298300677","https://openalex.org/W4300555804","https://openalex.org/W6643947692","https://openalex.org/W6667891108","https://openalex.org/W6676473843","https://openalex.org/W6683501427","https://openalex.org/W6683521676"],"related_works":["https://openalex.org/W3122413977","https://openalex.org/W2165420145","https://openalex.org/W96441109","https://openalex.org/W2167394514","https://openalex.org/W1534072310","https://openalex.org/W2103946119","https://openalex.org/W2885465588","https://openalex.org/W2019306084","https://openalex.org/W1965255372","https://openalex.org/W189995875"],"abstract_inverted_index":{"The":[0,42,117],"computationally":[1],"demanding":[2],"dynamic":[3],"programming":[4],"(DP)":[5],"algorithm":[6],"is":[7,27,45,77,146,160,168],"frequently":[8],"used":[9],"in":[10,69,92,103,135,162],"academic":[11],"research":[12],"to":[13,46,80,149,171],"solve":[14],"the":[15,32,52,61,70,82,87,93,99,152,166],"energy":[16],"management":[17],"problem":[18],"of":[19,35,51,98,128],"a":[20,37,48,107,113,132,141],"hybrid":[21],"electric":[22],"vehicle":[23],"(HEV).":[24],"This":[25],"paper":[26],"exclusively":[28],"focused":[29],"on":[30],"how":[31],"computational":[33],"demand":[34],"such":[36],"computation":[38,121],"can":[39,123],"be":[40,124],"reduced.":[41],"main":[43],"idea":[44],"use":[47],"local":[49,108],"approximation":[50,110],"gridded":[53],"cost-to-go":[54,100],"and":[55,72,85,111],"derive":[56],"an":[57,172],"analytic":[58],"solution":[59],"for":[60],"optimal":[62,88],"torque":[63,83],"split":[64,84],"decision":[65,89],"at":[66],"each":[67],"point":[68],"time":[71,122],"state":[73],"grid.":[74],"Thereby,":[75],"it":[76,145],"not":[78],"necessary":[79],"quantize":[81],"identify":[86],"by":[90,126],"interpolating":[91],"cost-to-go.":[94],"Two":[95],"different":[96],"approximations":[97],"are":[101],"considered":[102,161],"this":[104,163],"paper:":[105],"1)":[106],"linear":[109],"2)":[112],"quadratic":[114],"spline":[115,142],"approximation.":[116],"results":[118],"indicate":[119],"that":[120],"reduced":[125],"orders":[127],"magnitude":[129],"with":[130,140],"only":[131],"slight":[133],"degradation":[134],"simulated":[136],"fuel":[137],"economy.":[138],"Furthermore,":[139],"approximated":[143],"cost-to-go,":[144],"also":[147,169],"possible":[148],"significantly":[150],"reduce":[151],"memory":[153],"storage":[154],"requirements.":[155],"A":[156],"parallel":[157],"plug-in":[158],"HEV":[159],"paper,":[164],"but":[165],"method":[167],"applicable":[170],"HEV.":[173]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":19},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":13},{"year":2018,"cited_by_count":13},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
