{"id":"https://openalex.org/W3038737696","doi":"https://doi.org/10.1080/00207543.2020.1790687","title":"Exploring the nonlinear dynamics of the lost-sales order-up-to policy","display_name":"Exploring the nonlinear dynamics of the lost-sales order-up-to policy","publication_year":2020,"publication_date":"2020-08-04","ids":{"openalex":"https://openalex.org/W3038737696","doi":"https://doi.org/10.1080/00207543.2020.1790687","mag":"3038737696"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2020.1790687","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2020.1790687","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"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 Production Research","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/A5053698041","display_name":"Stephen Michael Disney","orcid":"https://orcid.org/0000-0003-2505-9271"},"institutions":[{"id":"https://openalex.org/I23923803","display_name":"University of Exeter","ror":"https://ror.org/03yghzc09","country_code":"GB","type":"education","lineage":["https://openalex.org/I23923803"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stephen M. Disney","raw_affiliation_strings":["Centre for Simulation, Analytics and Modelling, University of Exeter Business School, University of Exeter, Exeter, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for Simulation, Analytics and Modelling, University of Exeter Business School, University of Exeter, Exeter, UK","institution_ids":["https://openalex.org/I23923803"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061709783","display_name":"Borja Ponte","orcid":"https://orcid.org/0000-0003-3985-0400"},"institutions":[{"id":"https://openalex.org/I165339363","display_name":"Universidad de Oviedo","ror":"https://ror.org/006gksa02","country_code":"ES","type":"education","lineage":["https://openalex.org/I165339363"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Borja Ponte","raw_affiliation_strings":["Department of Business Administration, Polytechnic School of Engineering, University of Oviedo, Oviedo, Spain"],"raw_orcid":"https://orcid.org/0000-0003-3985-0400","affiliations":[{"raw_affiliation_string":"Department of Business Administration, Polytechnic School of Engineering, University of Oviedo, Oviedo, Spain","institution_ids":["https://openalex.org/I165339363"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100333850","display_name":"Xun Wang","orcid":"https://orcid.org/0000-0002-1156-3840"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Xun Wang","raw_affiliation_strings":["Logistics Systems Dynamics Group, Cardiff Business School, Cardiff University, Cardiff, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Logistics Systems Dynamics Group, Cardiff Business School, Cardiff University, Cardiff, UK","institution_ids":["https://openalex.org/I79510175"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5061709783"],"corresponding_institution_ids":["https://openalex.org/I165339363"],"apc_list":null,"apc_paid":null,"fwci":5.7093,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.95972945,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"59","issue":"19","first_page":"5809","last_page":"5830"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11918","display_name":"Forecasting Techniques and Applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9700000286102295,"subfield":{"id":"https://openalex.org/subfields/1404","display_name":"Management Information Systems"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bullwhip-effect","display_name":"Bullwhip effect","score":0.8999431133270264},{"id":"https://openalex.org/keywords/safety-stock","display_name":"Safety stock","score":0.6827076077461243},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.6233444213867188},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.5109257102012634},{"id":"https://openalex.org/keywords/system-dynamics","display_name":"System dynamics","score":0.49770811200141907},{"id":"https://openalex.org/keywords/perpetual-inventory","display_name":"Perpetual inventory","score":0.48771199584007263},{"id":"https://openalex.org/keywords/demand-forecasting","display_name":"Demand forecasting","score":0.4864037334918976},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.456156849861145},{"id":"https://openalex.org/keywords/service-level","display_name":"Service level","score":0.44524967670440674},{"id":"https://openalex.org/keywords/variance","display_name":"Variance (accounting)","score":0.43286508321762085},{"id":"https://openalex.org/keywords/lost-sales","display_name":"Lost sales","score":0.43237724900245667},{"id":"https://openalex.org/keywords/stock","display_name":"Stock (firearms)","score":0.4271897077560425},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.42251068353652954},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42137300968170166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4156544804573059},{"id":"https://openalex.org/keywords/inventory-theory","display_name":"Inventory theory","score":0.3933144807815552},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.3582736849784851},{"id":"https://openalex.org/keywords/supply-chain-management","display_name":"Supply chain management","score":0.2810969948768616},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.27212202548980713},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21138647198677063},{"id":"https://openalex.org/keywords/marketing","display_name":"Marketing","score":0.18442416191101074},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.17239516973495483}],"concepts":[{"id":"https://openalex.org/C178595485","wikidata":"https://www.wikidata.org/wiki/Q1343909","display_name":"Bullwhip effect","level":4,"score":0.8999431133270264},{"id":"https://openalex.org/C2781437837","wikidata":"https://www.wikidata.org/wiki/Q2736296","display_name":"Safety stock","level":3,"score":0.6827076077461243},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.6233444213867188},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.5109257102012634},{"id":"https://openalex.org/C77405623","wikidata":"https://www.wikidata.org/wiki/Q598451","display_name":"System dynamics","level":2,"score":0.49770811200141907},{"id":"https://openalex.org/C194191399","wikidata":"https://www.wikidata.org/wiki/Q7169552","display_name":"Perpetual inventory","level":4,"score":0.48771199584007263},{"id":"https://openalex.org/C193809577","wikidata":"https://www.wikidata.org/wiki/Q3409300","display_name":"Demand forecasting","level":2,"score":0.4864037334918976},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.456156849861145},{"id":"https://openalex.org/C181889124","wikidata":"https://www.wikidata.org/wiki/Q380204","display_name":"Service level","level":2,"score":0.44524967670440674},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.43286508321762085},{"id":"https://openalex.org/C2781161759","wikidata":"https://www.wikidata.org/wiki/Q24451192","display_name":"Lost sales","level":2,"score":0.43237724900245667},{"id":"https://openalex.org/C204036174","wikidata":"https://www.wikidata.org/wiki/Q909380","display_name":"Stock (firearms)","level":2,"score":0.4271897077560425},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.42251068353652954},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42137300968170166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4156544804573059},{"id":"https://openalex.org/C24373527","wikidata":"https://www.wikidata.org/wiki/Q252073","display_name":"Inventory theory","level":3,"score":0.3933144807815552},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.3582736849784851},{"id":"https://openalex.org/C44104985","wikidata":"https://www.wikidata.org/wiki/Q492886","display_name":"Supply chain management","level":3,"score":0.2810969948768616},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.27212202548980713},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21138647198677063},{"id":"https://openalex.org/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","level":1,"score":0.18442416191101074},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.17239516973495483},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1080/00207543.2020.1790687","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2020.1790687","pdf_url":null,"source":{"id":"https://openalex.org/S65690446","display_name":"International Journal of Production Research","issn_l":"0020-7543","issn":["0020-7543","1366-588X"],"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 Production Research","raw_type":"journal-article"},{"id":"pmh:oai:http://orca.cardiff.ac.uk:132859","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:ore.exeter.ac.uk:10871/121690","is_oa":false,"landing_page_url":"http://hdl.handle.net/10871/121690","pdf_url":null,"source":{"id":"https://openalex.org/S4306401998","display_name":"Open Research Exeter (University of Exeter)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I23923803","host_organization_name":"University of Exeter","host_organization_lineage":["https://openalex.org/I23923803"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"pmh:oai:RePEc:taf:tprsxx:v:59:y:2021:i:19:p:5809-5830","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2020.1790687","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"},{"id":"pmh:oai:http://orca-dev.cardiff.ac.uk:132859","is_oa":false,"landing_page_url":"https://orca.cardiff.ac.uk/id/eprint/132859/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401195","display_name":"ORCA Online Research @Cardiff (Cardiff University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79510175","host_organization_name":"Cardiff University","host_organization_lineage":["https://openalex.org/I79510175"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":69,"referenced_works":["https://openalex.org/W1571178781","https://openalex.org/W1574655732","https://openalex.org/W1589050319","https://openalex.org/W1618171401","https://openalex.org/W1629565393","https://openalex.org/W1676099465","https://openalex.org/W1713327175","https://openalex.org/W1767645678","https://openalex.org/W1772461615","https://openalex.org/W1863314402","https://openalex.org/W1932090211","https://openalex.org/W1955847028","https://openalex.org/W1963896501","https://openalex.org/W1969993946","https://openalex.org/W1970598873","https://openalex.org/W1972389118","https://openalex.org/W1979778893","https://openalex.org/W1986280961","https://openalex.org/W1988016012","https://openalex.org/W1992754822","https://openalex.org/W1995609092","https://openalex.org/W2006545445","https://openalex.org/W2009225769","https://openalex.org/W2016090261","https://openalex.org/W2018697056","https://openalex.org/W2027054709","https://openalex.org/W2039400833","https://openalex.org/W2047182231","https://openalex.org/W2056017465","https://openalex.org/W2056801379","https://openalex.org/W2059410964","https://openalex.org/W2059470728","https://openalex.org/W2065132821","https://openalex.org/W2071673544","https://openalex.org/W2072709311","https://openalex.org/W2077512637","https://openalex.org/W2082436586","https://openalex.org/W2088414435","https://openalex.org/W2096921668","https://openalex.org/W2102918325","https://openalex.org/W2104925392","https://openalex.org/W2107135164","https://openalex.org/W2130621528","https://openalex.org/W2139736884","https://openalex.org/W2140345205","https://openalex.org/W2144293364","https://openalex.org/W2165432682","https://openalex.org/W2536381871","https://openalex.org/W2554825859","https://openalex.org/W2557445913","https://openalex.org/W2559914213","https://openalex.org/W2575849896","https://openalex.org/W2769774709","https://openalex.org/W2786206491","https://openalex.org/W2788655025","https://openalex.org/W2888750138","https://openalex.org/W2900243387","https://openalex.org/W2902990629","https://openalex.org/W2904815033","https://openalex.org/W2951482145","https://openalex.org/W2996880415","https://openalex.org/W3122908781","https://openalex.org/W3125747142","https://openalex.org/W3126088345","https://openalex.org/W4240152785","https://openalex.org/W4256619112","https://openalex.org/W4301377693","https://openalex.org/W6636601645","https://openalex.org/W6638083957"],"related_works":["https://openalex.org/W3198567241","https://openalex.org/W2897962792","https://openalex.org/W4282975942","https://openalex.org/W2353613439","https://openalex.org/W2991388084","https://openalex.org/W2231301942","https://openalex.org/W4313504249","https://openalex.org/W2153635567","https://openalex.org/W1597877628","https://openalex.org/W4285550138"],"abstract_inverted_index":{"With":[0],"most":[1],"inventory":[2,11,92,104,116,134,140],"theory":[3],"investigating":[4],"linear":[5],"models,":[6],"the":[7,19,22,28,41,63,77,89,99,103,108,127,139,146,158,164,177],"dynamics":[8,20],"of":[9,21,30,62,66,142,166],"nonlinear":[10],"systems":[12],"is":[13],"not":[14],"well":[15,97],"understood.":[16],"We":[17,39,106,136,153,169],"explore":[18],"order-up-to":[23],"policy":[24],"under":[25],"lost-sales":[26,67,167,191],"for":[27,76,176],"case":[29],"i.i.d.":[31],"normally":[32],"distributed":[33],"demand":[34,52,56,82,143],"and":[35,47,54,80,91,102,132,145,181,188],"unit":[36],"lead":[37],"times.":[38],"consider":[40],"ideal":[42],"minimum":[43],"mean-squared":[44],"error":[45],"forecast":[46],"two":[48],"alternative":[49],"scenarios:":[50],"partial":[51],"observation":[53],"dynamic":[55,151],"forecasting,":[57],"providing":[58],"a":[59,155,186,189],"broad":[60],"understanding":[61],"operational":[64],"performance":[65,165],"systems.":[68,117,168],"In":[69],"each":[70],"scenario,":[71],"we":[72],"obtain":[73],"analytical":[74],"expressions":[75],"order,":[78],"inventory,":[79],"satisfied":[81],"distributions.":[83],"This":[84],"allows":[85],"us":[86],"to":[87],"quantify":[88],"Bullwhip":[90],"variance":[93],"amplification":[94],"ratios":[95],"as":[96,98],"fill":[100],"rate":[101],"cover.":[105],"show":[107],"lost":[109,119],"sales":[110,120],"nonlinearity":[111],"induces":[112],"complex":[113],"behaviours":[114],"in":[115,184],"Interestingly,":[118],"smooth":[121],"supply":[122],"chain":[123],"dynamics,":[124],"significantly":[125],"affecting":[126],"trade-off":[128],"between":[129],"service":[130],"level":[131,183],"average":[133],"holding.":[135],"also":[137],"reveal":[138],"downsides":[141],"censoring":[144],"production":[147],"damages":[148],"induced":[149],"by":[150,171],"forecasts.":[152],"identify":[154],"key":[156],"parameter,":[157],"relative":[159],"safety":[160,179],"margin,":[161],"that":[162],"characterises":[163],"finish":[170],"offering":[172],"some":[173],"prescriptive":[174],"results":[175],"optimal":[178],"stock":[180],"capacity":[182],"both":[185],"retail":[187],"manufacturing":[190],"setting.":[192]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}