{"id":"https://openalex.org/W2866120021","doi":"https://doi.org/10.1080/00207543.2018.1480839","title":"Multi-item inventory model with variable backorder and price discount under trade credit policy in stochastic demand","display_name":"Multi-item inventory model with variable backorder and price discount under trade credit policy in stochastic demand","publication_year":2018,"publication_date":"2018-07-05","ids":{"openalex":"https://openalex.org/W2866120021","doi":"https://doi.org/10.1080/00207543.2018.1480839","mag":"2866120021"},"language":"en","primary_location":{"id":"doi:10.1080/00207543.2018.1480839","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2018.1480839","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/A5114042184","display_name":"M. Ganesh Kumar","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":"M. Ganesh Kumar","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]},{"author_position":"last","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":false,"raw_author_name":"R. Uthayakumar","raw_affiliation_strings":["Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram 624 302, Tamil Nadu, India","institution_ids":["https://openalex.org/I880551032"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5114042184"],"corresponding_institution_ids":["https://openalex.org/I880551032"],"apc_list":null,"apc_paid":null,"fwci":4.1841,"has_fulltext":false,"cited_by_count":24,"citation_normalized_percentile":{"value":0.93882545,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"57","issue":"1","first_page":"298","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":0.9995999932289124,"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":0.9995999932289124,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9965000152587891,"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"}},{"id":"https://openalex.org/T13706","display_name":"Management and Optimization Techniques","score":0.9656000137329102,"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/trade-credit","display_name":"Trade credit","score":0.6586059927940369},{"id":"https://openalex.org/keywords/supply-chain","display_name":"Supply chain","score":0.5671023726463318},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.5133242011070251},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5108563303947449},{"id":"https://openalex.org/keywords/production","display_name":"Production (economics)","score":0.49247297644615173},{"id":"https://openalex.org/keywords/imperfect","display_name":"Imperfect","score":0.4888884127140045},{"id":"https://openalex.org/keywords/lead-time","display_name":"Lead time","score":0.4629074037075043},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.43144944310188293},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4231751561164856},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.41818705201148987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41683560609817505},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.41248464584350586},{"id":"https://openalex.org/keywords/microeconomics","display_name":"Microeconomics","score":0.2861291170120239},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.24683940410614014},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2137148082256317},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.20160022377967834},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.14058518409729004}],"concepts":[{"id":"https://openalex.org/C2776825449","wikidata":"https://www.wikidata.org/wiki/Q1780900","display_name":"Trade credit","level":2,"score":0.6586059927940369},{"id":"https://openalex.org/C108713360","wikidata":"https://www.wikidata.org/wiki/Q1824206","display_name":"Supply chain","level":2,"score":0.5671023726463318},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.5133242011070251},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5108563303947449},{"id":"https://openalex.org/C2778348673","wikidata":"https://www.wikidata.org/wiki/Q739302","display_name":"Production (economics)","level":2,"score":0.49247297644615173},{"id":"https://openalex.org/C2780310539","wikidata":"https://www.wikidata.org/wiki/Q12547192","display_name":"Imperfect","level":2,"score":0.4888884127140045},{"id":"https://openalex.org/C2781468064","wikidata":"https://www.wikidata.org/wiki/Q1267117","display_name":"Lead time","level":2,"score":0.4629074037075043},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.43144944310188293},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4231751561164856},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.41818705201148987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41683560609817505},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.41248464584350586},{"id":"https://openalex.org/C175444787","wikidata":"https://www.wikidata.org/wiki/Q39072","display_name":"Microeconomics","level":1,"score":0.2861291170120239},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.24683940410614014},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2137148082256317},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.20160022377967834},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.14058518409729004},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"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/C162853370","wikidata":"https://www.wikidata.org/wiki/Q39809","display_name":"Marketing","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207543.2018.1480839","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207543.2018.1480839","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:RePEc:taf:tprsxx:v:57:y:2019:i:1:p:298-320","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1080/00207543.2018.1480839","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":[{"id":"https://metadata.un.org/sdg/17","display_name":"Partnerships for the goals","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W149622251","https://openalex.org/W1594994747","https://openalex.org/W1972608196","https://openalex.org/W1973393865","https://openalex.org/W1976997014","https://openalex.org/W1984230489","https://openalex.org/W1988750344","https://openalex.org/W1990846793","https://openalex.org/W1993302397","https://openalex.org/W1999763006","https://openalex.org/W2013585836","https://openalex.org/W2014276959","https://openalex.org/W2015547021","https://openalex.org/W2023413785","https://openalex.org/W2026582531","https://openalex.org/W2036362081","https://openalex.org/W2049107616","https://openalex.org/W2058961550","https://openalex.org/W2064696322","https://openalex.org/W2065119603","https://openalex.org/W2068635632","https://openalex.org/W2070452245","https://openalex.org/W2071781674","https://openalex.org/W2088218266","https://openalex.org/W2093495562","https://openalex.org/W2109043718","https://openalex.org/W2125230951","https://openalex.org/W2473943160","https://openalex.org/W2533686073","https://openalex.org/W2551929175","https://openalex.org/W2591501272","https://openalex.org/W2613517502","https://openalex.org/W2749560237","https://openalex.org/W2772435315"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2537806976","https://openalex.org/W2024359370","https://openalex.org/W2502964546","https://openalex.org/W2742703214","https://openalex.org/W2337370130","https://openalex.org/W2369719022","https://openalex.org/W2091680586","https://openalex.org/W4252679442","https://openalex.org/W2913840702"],"abstract_inverted_index":{"In":[0],"this":[1,140],"paper,":[2,141],"a":[3,31,49,60,75,101],"two":[4],"echelon":[5],"supply":[6],"chain":[7],"with":[8,22,143,148,160],"one":[9,12,142],"manufacturer":[10,53],"and":[11,42,55,69,93,116,155,185],"retailer":[13,20,91,99],"is":[14,37,45,72,95,189],"developed":[15,170],"for":[16,26,104],"multi":[17],"products.":[18],"The":[19,34,52,98],"faced":[21],"the":[23,43,57,66,81,90,111,117,124,146,173,183,186],"uncertain":[24],"demand":[25],"all":[27],"products":[28,58],"which":[29],"follows":[30],"normal":[32],"distribution.":[33,51],"production":[35],"process":[36],"assumed":[38,46],"to":[39,47,65,80,87,107,171,181],"be":[40],"imperfect,":[41],"defectiveness":[44],"follow":[48],"beta":[50],"produces":[54],"delivers":[56,73],"in":[59,74,139],"number":[61,76],"of":[62,77,127],"equal-sized":[63],"batches":[64,79],"manufacturer's":[67],"warehouse,":[68],"thereby":[70],"it":[71,94],"equal":[78],"retailer's":[82],"warehouse.":[83],"Shortages":[84],"are":[85,121,134,179],"allowed":[86],"occur,":[88],"at":[89],"side,":[92],"backordered":[96,105],"partially.":[97],"offers":[100],"price":[102],"discount":[103],"items":[106],"his":[108],"customers.":[109],"Both":[110],"lead":[112,128],"time":[113],"crashing":[114],"cost":[115],"partial":[118],"backorder":[119],"ratio":[120],"considered":[122],"as":[123],"inverse":[125],"function":[126],"time.":[129],"Under":[130],"these":[131],"assumptions,":[132],"there":[133],"three":[135],"inventory":[136],"models":[137,184],"proposed":[138],"non-integrated":[144],"approach,":[145],"other":[147],"an":[149,157],"integrated":[150,158],"approach":[151,159],"without":[152],"trade":[153,161],"credit":[154],"finally":[156],"credit.":[162],"A":[163],"new":[164],"iterative":[165],"algorithmic":[166],"procedure":[167],"has":[168],"been":[169],"minimise":[172],"total":[174],"cost.":[175],"Finally,":[176],"numerical":[177],"examples":[178],"given":[180],"illustrate":[182],"sensitivity":[187],"analysis":[188],"conducted":[190],"over":[191],"various":[192],"model":[193],"parameters.":[194]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
