{"id":"https://openalex.org/W2107511085","doi":"https://doi.org/10.3844/jmssp.2009.330.333","title":"An Optimal Inventory Policy for Items having Linear Demand and Variable Deterioration Rate with Trade Credit","display_name":"An Optimal Inventory Policy for Items having Linear Demand and Variable Deterioration Rate with Trade Credit","publication_year":2009,"publication_date":"2009-04-01","ids":{"openalex":"https://openalex.org/W2107511085","doi":"https://doi.org/10.3844/jmssp.2009.330.333","mag":"2107511085"},"language":"en","primary_location":{"id":"doi:10.3844/jmssp.2009.330.333","doi":"https://doi.org/10.3844/jmssp.2009.330.333","is_oa":false,"landing_page_url":"https://doi.org/10.3844/jmssp.2009.330.333","pdf_url":null,"source":{"id":"https://openalex.org/S176610847","display_name":"Journal of Mathematics and Statistics","issn_l":"1549-3644","issn":["1549-3644","1558-6359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics and Statistics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5082081353","display_name":"Singh Sarbjit","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Singh Sarbjit","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5038848505","display_name":"Singh Shivraj","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Singh Shivraj","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9027,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.79580402,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"5","issue":"4","first_page":"330","last_page":"333"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10328","display_name":"Supply Chain and Inventory Management","score":1.0,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.0,"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.0,"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/inventory-policy","display_name":"inventory policy","score":0.8500000238418579},{"id":"https://openalex.org/keywords/time-varying-demand","display_name":"time-varying demand","score":0.847000002861023},{"id":"https://openalex.org/keywords/trade-credit","display_name":"trade credit","score":0.8579999804496765},{"id":"https://openalex.org/keywords/perishable-products","display_name":"perishable goods","score":0.8410000205039978},{"id":"https://openalex.org/keywords/optimal-order-quantity","display_name":"optimal order quantity","score":0.9750000238418579},{"id":"https://openalex.org/keywords/total-inventory-cost","display_name":"total inventory cost","score":0.718999981880188},{"id":"https://openalex.org/keywords/inventory-levels","display_name":"inventory levels","score":0.5019999742507935}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8509619235992432},{"id":"https://openalex.org/C2776825449","wikidata":"https://www.wikidata.org/wiki/Q1780900","display_name":"Trade credit","level":2,"score":0.6343559622764587},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.6138956546783447},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.44762274622917175},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3450494706630707},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.1929168403148651},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.11968335509300232},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3844/jmssp.2009.330.333","doi":"https://doi.org/10.3844/jmssp.2009.330.333","is_oa":false,"landing_page_url":"https://doi.org/10.3844/jmssp.2009.330.333","pdf_url":null,"source":{"id":"https://openalex.org/S176610847","display_name":"Journal of Mathematics and Statistics","issn_l":"1549-3644","issn":["1549-3644","1558-6359"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Mathematics and Statistics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1968490935","https://openalex.org/W1976799884","https://openalex.org/W1981726688","https://openalex.org/W1995342995","https://openalex.org/W2053824045","https://openalex.org/W2058594750","https://openalex.org/W2080905805","https://openalex.org/W2141727544","https://openalex.org/W2315672722","https://openalex.org/W2327461276","https://openalex.org/W2772783357"],"related_works":["https://openalex.org/W2088810300","https://openalex.org/W3211165807","https://openalex.org/W7202070980","https://openalex.org/W2367669986","https://openalex.org/W2771168936","https://openalex.org/W2163200869","https://openalex.org/W7099588842","https://openalex.org/W1982458867","https://openalex.org/W2777756009","https://openalex.org/W2208931225"],"abstract_inverted_index":{"Problem":[0],"statement:":[1],"Demand":[2],"considered":[3],"in":[4,14,55,87,233],"most":[5,15],"of":[6,16,49,60,90,105,120,127,157,174,181,186,226],"the":[7,17,20,34,88,113,121,125,172,187,194],"classical":[8],"inventory":[9,67,114,129,136],"models":[10],"is":[11,52,63,85],"constant,":[12],"while":[13],"practical":[18],"cases":[19],"demand":[21,37,78,202,221],"changes":[22,38],"with":[23,39,45,80],"time.":[24,46],"In":[25],"this":[26,56,61,96,128,234],"study":[27,33,143,211],"model":[28,68,94,97,146,189,196,235],"has":[29,138],"been":[30,99,139,192],"framed":[31,86],"to":[32,64,147,165,236],"items":[35,71,206,217],"whose":[36,72],"time":[40,81,119,224],"and":[41,95,159,178,228,241],"deterioration":[42,176],"rate":[43,74,177],"increases":[44,79],"The":[47,58,109],"effect":[48],"permissible":[50],"delay":[51],"also":[53,191,223],"incorporated":[54,232],"study.":[57],"objective":[59],"research":[62],"develop":[65],"an":[66,149],"for":[69,205,216],"perishable":[70],"perish-ability":[73],"as":[75,77,132,134],"well":[76,133],"Approach:":[82],"Firstly,":[83],"problem":[84],"form":[89],"linear":[91,106,179],"differential":[92,107],"equation":[93],"had":[98,190],"solved":[100],"using":[101,154],"general":[102],"solution":[103,110,185],"techniques":[104],"equations.":[108],"obtained":[111],"gives":[112],"level":[115],"at":[116],"any":[117],"particular":[118],"cycle":[122],"period.":[123],"With":[124],"help":[126],"level,":[130],"total":[131],"average":[135],"cost":[137],"obtained.":[140],"Results:":[141],"This":[142,210],"developed":[144],"a":[145],"determine":[148],"optimal":[150,168],"order":[151],"quantity":[152,170],"by":[153],"calculus":[155],"technique":[156],"maxima":[158],"minima.":[160],"Thus":[161],"it":[162,238],"helps":[163],"retailer":[164],"decide":[166],"its":[167],"ordering":[169],"under":[171],"constraints":[173],"variable":[175],"pattern":[180],"demand.":[182],"Conclusion:":[183],"Numerical":[184],"suggested":[188],"proposed,":[193],"above":[195],"can":[197,212,230],"be":[198,214,231],"converted":[199],"into":[200],"constant":[201],"model,":[203],"or":[204],"having":[207,218],"no":[208],"deterioration.":[209],"further":[213],"extended":[215],"some":[219],"other":[220],"pattern,":[222],"value":[225],"money":[227],"inflation":[229],"make":[237],"more":[239],"realistic":[240],"present":[242],"business":[243],"environment":[244],"suited.":[245]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-09-02T07:38:04.252551","created_date":"2016-06-24T00:00:00"}
