{"id":"https://openalex.org/W1976997014","doi":"https://doi.org/10.1080/00207720802299028","title":"A continuous review inventory model with controllable backorder rate and investments","display_name":"A continuous review inventory model with controllable backorder rate and investments","publication_year":2008,"publication_date":"2008-11-03","ids":{"openalex":"https://openalex.org/W1976997014","doi":"https://doi.org/10.1080/00207720802299028","mag":"1976997014"},"language":"en","primary_location":{"id":"doi:10.1080/00207720802299028","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720802299028","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","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/A5113556651","display_name":"R. Uthayakumar","orcid":null},"institutions":[{"id":"https://openalex.org/I880551032","display_name":"Gandhigram Rural Institute","ror":"https://ror.org/01abtgj51","country_code":"IN","type":"education","lineage":["https://openalex.org/I880551032"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"R. Uthayakumar","raw_affiliation_strings":["Gandhigram University","Department of Mathematics, Gandhigram University, Dindigul, TamilNadu, India#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Gandhigram University","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics, Gandhigram University, Dindigul, TamilNadu, India#TAB#","institution_ids":["https://openalex.org/I880551032"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045095334","display_name":"P. Parvathi","orcid":null},"institutions":[{"id":"https://openalex.org/I3129860891","display_name":"University of the Visual & Performing Arts","ror":"https://ror.org/046pqvy32","country_code":"LK","type":"education","lineage":["https://openalex.org/I3129860891"]},{"id":"https://openalex.org/I4210119396","display_name":"Social Service Sericulture Project Trust","ror":"https://ror.org/02sb4r018","country_code":"IN","type":"nonprofit","lineage":["https://openalex.org/I4210119396"]}],"countries":["IN","LK"],"is_corresponding":false,"raw_author_name":"P. Parvathi","raw_affiliation_strings":["M.V.M. Government Arts College","Department of Mathematics, M.V.M. Government Arts College, Dindigul, TamilNadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"M.V.M. Government Arts College","institution_ids":["https://openalex.org/I3129860891"]},{"raw_affiliation_string":"Department of Mathematics, M.V.M. Government Arts College, Dindigul, TamilNadu, India","institution_ids":["https://openalex.org/I4210119396"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5113556651"],"corresponding_institution_ids":["https://openalex.org/I880551032"],"apc_list":null,"apc_paid":null,"fwci":2.1782,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.86712785,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"40","issue":"3","first_page":"245","last_page":"254"},"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/T10974","display_name":"Advanced Queuing Theory Analysis","score":0.9811000227928162,"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":0.9790999889373779,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lead-time","display_name":"Lead time","score":0.7153511643409729},{"id":"https://openalex.org/keywords/investment","display_name":"Investment (military)","score":0.6838713884353638},{"id":"https://openalex.org/keywords/yield","display_name":"Yield (engineering)","score":0.5461503267288208},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5429657697677612},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5008885860443115},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.4918501377105713},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.48464280366897583},{"id":"https://openalex.org/keywords/total-cost","display_name":"Total cost","score":0.4457738697528839},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4300636649131775},{"id":"https://openalex.org/keywords/return-on-investment","display_name":"Return on investment","score":0.4184882640838623},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.40894439816474915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36346596479415894},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.272546648979187},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.2552928924560547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24140360951423645},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.1762223243713379},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08300986886024475}],"concepts":[{"id":"https://openalex.org/C2781468064","wikidata":"https://www.wikidata.org/wiki/Q1267117","display_name":"Lead time","level":2,"score":0.7153511643409729},{"id":"https://openalex.org/C27548731","wikidata":"https://www.wikidata.org/wiki/Q88272","display_name":"Investment (military)","level":3,"score":0.6838713884353638},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.5461503267288208},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5429657697677612},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5008885860443115},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.4918501377105713},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.48464280366897583},{"id":"https://openalex.org/C182299520","wikidata":"https://www.wikidata.org/wiki/Q1289588","display_name":"Total cost","level":2,"score":0.4457738697528839},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4300636649131775},{"id":"https://openalex.org/C169549615","wikidata":"https://www.wikidata.org/wiki/Q939134","display_name":"Return on investment","level":3,"score":0.4184882640838623},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.40894439816474915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36346596479415894},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.272546648979187},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.2552928924560547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24140360951423645},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.1762223243713379},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08300986886024475},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C2778137410","wikidata":"https://www.wikidata.org/wiki/Q2732820","display_name":"Government (linguistics)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207720802299028","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720802299028","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"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 Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Industry, innovation and infrastructure","score":0.46000000834465027,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320767","display_name":"University Grants Commission","ror":"https://ror.org/04p800546"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W590808261","https://openalex.org/W1911935286","https://openalex.org/W1965882458","https://openalex.org/W1969618227","https://openalex.org/W1974034524","https://openalex.org/W1979295088","https://openalex.org/W1987658944","https://openalex.org/W1988750344","https://openalex.org/W1999421838","https://openalex.org/W2005276242","https://openalex.org/W2005292863","https://openalex.org/W2008317889","https://openalex.org/W2011984466","https://openalex.org/W2021316235","https://openalex.org/W2022332204","https://openalex.org/W2033010237","https://openalex.org/W2041015216","https://openalex.org/W2043868000","https://openalex.org/W2043937233","https://openalex.org/W2044295061","https://openalex.org/W2048617784","https://openalex.org/W2063924808","https://openalex.org/W2066511500","https://openalex.org/W2070855098","https://openalex.org/W2074103318","https://openalex.org/W2074778807","https://openalex.org/W2080226195","https://openalex.org/W2086300438","https://openalex.org/W2087593853","https://openalex.org/W2088218266","https://openalex.org/W2088769807","https://openalex.org/W2126106936","https://openalex.org/W2158182297","https://openalex.org/W2170823321","https://openalex.org/W2395680404","https://openalex.org/W3124371134"],"related_works":["https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W2895916002","https://openalex.org/W1814049089","https://openalex.org/W1977348009","https://openalex.org/W2290216421","https://openalex.org/W2055805621","https://openalex.org/W4312847924","https://openalex.org/W2316367527","https://openalex.org/W2762228719"],"abstract_inverted_index":{"In":[0,214,228,273,354],"this":[1,140],"study,":[2],"we":[3,80,231,254,331,404,420,427],"investigate":[4],"a":[5,244],"continuous":[6],"review":[7],"inventory":[8],"model":[9,161,166,172,230,275,277,330,357,359,436],"to":[10,68,110,155,189,260,265,294,376,490],"reduce":[11,232],"lead":[12,36,47,88,240,252,321,336,457,466],"time,":[13,89,241],"yield":[14,90,218,233],"variability":[15,91,219,234],"and":[16,57,92,116,145,175,180,193,220,237,280,285,298,362,367,380,408],"setup":[17,93,221,235],"cost":[18,94,222,236],"simultaneously":[19],"through":[20,38,225,459],"capital":[21,96,114,143,226],"investments.":[22],"We":[23,43,62,444],"assume":[24,45,446],"that":[25,46,119,320,447],"the":[26,32,35,39,70,82,85,112,121,129,137,157,165,169,198,215,239,257,261,267,274,303,333,355,385,410,429,434,448,453,456,460,465,495],"backorder":[27,449,496],"rate":[28,412,423,450,497],"is":[29,51,109,134,350,437,468,473,503],"depending":[30],"on":[31,452],"length":[33,454],"of":[34,41,139,197,206,302,311,335,384,393,440,455,462,477],"time":[37,48,253,322,337,458,467],"amount":[40,461],"shortages.":[42,463],"also":[44,238,445],"demand's":[49],"distribution":[50,65,334,340,348],"not":[52],"known":[53],"but":[54],"its":[55],"first":[56],"second":[58],"moments":[59],"are":[60,148,153,400],"known.":[61],"apply":[63],"minimax":[64],"free":[66],"procedure":[67],"minimise":[69],"expected":[71,122],"total":[72,123],"annual":[73,124],"cost.":[74,125],"By":[75,250],"using":[76],"logarithmic":[77],"investment":[78,115,144],"function":[79,99],"describe":[81],"relationship":[83],"between":[84],"reduction":[86],"in":[87,102,168,247,270,328,481,483],"with":[95,187,292,374],"investment.":[97,227],"This":[98,501],"was":[100,318],"used":[101],"many":[103],"existing":[104,167],"models.":[105],"Our":[106,159],"main":[107],"aim":[108],"determine":[111],"optimal":[113,130,142],"ordering":[117,146],"policies":[118,147],"minimises":[120],"To":[126],"find":[127],"out":[128],"solution,":[131],"an":[132],"algorithm":[133],"given.":[135],"With":[136],"help":[138],"algorithm,":[141],"wrought":[149],"out.":[150],"Numerical":[151],"examples":[152],"given":[154],"elucidate":[156],"model.":[158,431,442],"proposed":[160],"greatly":[162],"differs":[163],"from":[164],"literature":[170],"(the":[171,276,358],"by":[173,278,360],"Lin":[174,279,361],"Hou":[176,281,363],"(2005":[177,282,364],"Lin,":[178,283,365],"LC":[179,284,366],"Hou,":[181,286,368],"KL.":[182,287,369],"2005.":[183,288,370],"An":[184,289,371],"Inventory":[185,290,372],"System":[186,291,373],"Investment":[188,293,375],"Reduce":[190,295,377],"Yield":[191,296,378],"Variability":[192,297,379],"Setup":[194,299,381],"Cost.":[195,300,382],"Journal":[196,301,383],"Operational":[199,304,386],"Research":[200,305,387],"Society,":[201,306,388],"56:":[202,307,389],"67\u201374.":[203,308,390],"[Crossref],":[204,309,391],"[Web":[205,310,392],"Science":[207,312,394],"\u00ae]":[208,313,395],",":[209,314,396],"[Google":[210,315,397],"Scholar]))":[211],"viz:":[212],"(1)":[213],"above":[216,356,430,435],"model,":[217],"were":[223],"reduced":[224],"our":[229,329,441],"which":[242,349],"plays":[243],"vital":[245],"role":[246],"any":[248,347],"business.":[249,271],"reducing":[251],"can":[255,345],"improve":[256],"service":[258],"level":[259],"customer":[262],"so":[263],"as":[264,339,413],"increase":[266],"competitive":[268],"edge":[269],"(2)":[272],"Scholar])),":[316,398],"it":[317,344],"assumed":[319],"demand":[323,338],"follows":[324],"normal":[325],"distribution.":[326],"But":[327,403],"take":[332,409],"free.":[341],"That":[342,432],"is,":[343,433],"follow":[346],"more":[351],"general.":[352],"(3)":[353],"shortages":[399],"completely":[401],"backlogged.":[402],"consider":[405],"partial":[406],"backlogging":[407,411,422],"0":[414],"\u2264":[415,417],"B":[416,424],"1.":[418],"If":[419,464],"set":[421],"=":[425],"1":[426],"get":[428],"particular":[438],"case":[439],"(4)":[443],"depends":[451],"longer":[469],"then":[470],"shortage":[471],"accumulation":[472],"higher.":[474],"The":[475],"patience":[476],"customers":[478,487],"will":[479,498],"result":[480],"failure":[482],"business":[484],"since":[485],"some":[486,491],"may":[488],"turn":[489],"other":[492],"supplier.":[493],"Hence,":[494],"be":[499],"reduced.":[500],"assumption":[502],"very":[504],"realistic.":[505]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}