{"id":"https://openalex.org/W2803277885","doi":"https://doi.org/10.1051/ro/2018037","title":"Single-machine lot scheduling problem for deteriorating items with negative exponential deterioration rate","display_name":"Single-machine lot scheduling problem for deteriorating items with negative exponential deterioration rate","publication_year":2018,"publication_date":"2018-05-21","ids":{"openalex":"https://openalex.org/W2803277885","doi":"https://doi.org/10.1051/ro/2018037","mag":"2803277885"},"language":"en","primary_location":{"id":"doi:10.1051/ro/2018037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/04/ro170362.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/04/ro170362.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063205041","display_name":"Amir Hossein Nobil","orcid":"https://orcid.org/0000-0003-4769-4460"},"institutions":[{"id":"https://openalex.org/I197220011","display_name":"Qazvin Islamic Azad University","ror":"https://ror.org/023kjn321","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I197220011"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Amir Hossein Nobil","raw_affiliation_strings":["Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran","institution_ids":["https://openalex.org/I197220011"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027947251","display_name":"Abolfazl Kazemi","orcid":"https://orcid.org/0000-0003-1870-2206"},"institutions":[{"id":"https://openalex.org/I197220011","display_name":"Qazvin Islamic Azad University","ror":"https://ror.org/023kjn321","country_code":"IR","type":"education","lineage":["https://openalex.org/I110525433","https://openalex.org/I197220011"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Abolfazl Kazemi","raw_affiliation_strings":["Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran"],"affiliations":[{"raw_affiliation_string":"Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran","institution_ids":["https://openalex.org/I197220011"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054797685","display_name":"Ata Allah Taleizadeh","orcid":"https://orcid.org/0000-0002-1222-1877"},"institutions":[{"id":"https://openalex.org/I23946033","display_name":"University of Tehran","ror":"https://ror.org/05vf56z40","country_code":"IR","type":"education","lineage":["https://openalex.org/I23946033"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"Ata Allah Taleizadeh","raw_affiliation_strings":["School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"School of Industrial Engineering, College of Engineering, University of Tehran, Tehran, Iran","institution_ids":["https://openalex.org/I23946033"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5063205041"],"corresponding_institution_ids":["https://openalex.org/I197220011"],"apc_list":null,"apc_paid":null,"fwci":1.2937,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.82879965,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"53","issue":"4","first_page":"1297","last_page":"1307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9998000264167786,"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":0.9998000264167786,"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/T10551","display_name":"Scheduling and Optimization Algorithms","score":0.9937000274658203,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/1408","display_name":"Strategy and Management"},"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/sizing","display_name":"Sizing","score":0.7390032410621643},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6683101654052734},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5872354507446289},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5775148868560791},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5273136496543884},{"id":"https://openalex.org/keywords/holding-cost","display_name":"Holding cost","score":0.5147762298583984},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.4721634089946747},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.41360992193222046},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2876325845718384},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.08128577470779419}],"concepts":[{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.7390032410621643},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6683101654052734},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5872354507446289},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5775148868560791},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5273136496543884},{"id":"https://openalex.org/C192365026","wikidata":"https://www.wikidata.org/wiki/Q5046829","display_name":"Holding cost","level":2,"score":0.5147762298583984},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.4721634089946747},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.41360992193222046},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2876325845718384},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.08128577470779419},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1051/ro/2018037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/04/ro170362.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:numdam.org:RO_2019__53_4_1297_0","is_oa":false,"landing_page_url":"https://www.numdam.org/articles/10.1051/ro/2018037/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402264","display_name":"French digital mathematics library (Numdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I70900168","host_organization_name":"Universit\u00e9 Savoie Mont Blanc","host_organization_lineage":["https://openalex.org/I70900168"],"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":"Text"}],"best_oa_location":{"id":"doi:10.1051/ro/2018037","is_oa":true,"landing_page_url":"https://doi.org/10.1051/ro/2018037","pdf_url":"https://www.rairo-ro.org/articles/ro/pdf/2019/04/ro170362.pdf","source":{"id":"https://openalex.org/S20631277","display_name":"RAIRO - Operations Research","issn_l":"0399-0559","issn":["0399-0559","1290-3868"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319748","host_organization_name":"EDP Sciences","host_organization_lineage":["https://openalex.org/P4310319748"],"host_organization_lineage_names":["EDP Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Operations Research","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2803277885.pdf","grobid_xml":"https://content.openalex.org/works/W2803277885.grobid-xml"},"referenced_works_count":34,"referenced_works":["https://openalex.org/W1080531652","https://openalex.org/W1913885405","https://openalex.org/W1968490935","https://openalex.org/W1972422163","https://openalex.org/W1976792115","https://openalex.org/W1978415596","https://openalex.org/W1978540235","https://openalex.org/W1987999292","https://openalex.org/W1991008865","https://openalex.org/W1998270617","https://openalex.org/W2003915632","https://openalex.org/W2015343641","https://openalex.org/W2015842927","https://openalex.org/W2037373059","https://openalex.org/W2054910985","https://openalex.org/W2055877902","https://openalex.org/W2061685361","https://openalex.org/W2081417213","https://openalex.org/W2088624443","https://openalex.org/W2108502790","https://openalex.org/W2109195981","https://openalex.org/W2134318586","https://openalex.org/W2266317824","https://openalex.org/W2297703314","https://openalex.org/W2315672722","https://openalex.org/W2472554485","https://openalex.org/W2586894913","https://openalex.org/W2626991078","https://openalex.org/W2664977389","https://openalex.org/W2750408076","https://openalex.org/W2753909608","https://openalex.org/W2760912887","https://openalex.org/W2763662243","https://openalex.org/W2784823004"],"related_works":["https://openalex.org/W4225327531","https://openalex.org/W2982068725","https://openalex.org/W2908756765","https://openalex.org/W2028704098","https://openalex.org/W2043936770","https://openalex.org/W2170168261","https://openalex.org/W2300251040","https://openalex.org/W2067163594","https://openalex.org/W2084714968","https://openalex.org/W2302212776"],"abstract_inverted_index":{"Determining":[0],"production-inventory":[1],"level":[2],"is":[3,20,46,99,109,131,162],"one":[4],"of":[5,85,95,147,168,185],"the":[6,21,24,66,81,96,102,106,113,137,142,148,160,166,215],"most":[7,25],"important":[8],"and":[9,23,72,92,144,210],"challenging":[10],"problems":[11],"in":[12,29,77],"a":[13,33,60,78,121,132,155,173,177],"manufacturing":[14,50,89,178],"system.":[15],"Economic":[16],"Batch":[17],"Quantity":[18],"(EBQ)":[19],"simplest":[22],"employed":[26],"inventory":[27],"model":[28,37,104],"this":[30,49,64,169,191,205],"field.":[31],"Here,":[32],"single-source":[34],"production":[35],"lot-sizing":[36],"for":[38,69,105,136,176,214],"deteriorating":[39,97,219],"products":[40],"with":[41,180,218],"negative":[42],"exponential":[43],"deterioration":[44],"rate":[45],"developed.":[47],"In":[48,63],"system,":[51],"we":[52,117,127,171],"assume":[53],"that":[54,80,129,188,204],"all":[55],"items":[56],"are":[57,75,151],"manufactured":[58],"using":[59,154],"single":[61],"source.":[62],"paper":[65],"optimal":[67,124,134,149],"values":[68],"cycle":[70,138],"length":[71],"lot":[73],"size":[74],"derived":[76,114],"way":[79],"total":[82],"cost":[83],"(consists":[84],"machine":[86],"setup":[87],"cost,":[88,90],"carrying":[91],"disposal":[93],"costs":[94],"items)":[98],"minimized.":[100],"Consequently,":[101],"developed":[103],"proposed":[107],"problem":[108,161,217],"formulated.":[110],"According":[111],"to":[112,194],"mathematical":[115],"model,":[116],"could":[118],"not":[119],"provide":[120],"closed":[122],"form":[123],"solution,":[125],"but":[126],"show":[128],"there":[130],"unique":[133],"solution":[135,150],"length.":[139],"At":[140],"first,":[141],"upper":[143],"lower":[145],"bounds":[146],"determined,":[152],"then":[153,199],"Bi-section":[156],"method":[157,192,206],"(root-finding":[158],"method)":[159],"solved.":[163],"To":[164],"demonstrate":[165],"applicability":[167],"method,":[170,198],"solve":[172],"simple":[174],"example":[175],"system":[179],"three":[181],"products.":[182],"Finally,":[183],"results":[184],"ten":[186],"experiment":[187],"obtain":[189],"from":[190,196],"compare":[193],"answers":[195],"Newton-Raphson":[197],"it":[200],"has":[201,207],"been":[202],"shown":[203],"great":[208],"effectiveness":[209],"less":[211],"calculation":[212],"efforts":[213],"single-machine":[216],"items.":[220]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}