{"id":"https://openalex.org/W2114726744","doi":"https://doi.org/10.1080/00207720902974561","title":"Optimal payment time with deteriorating items under inflation and permissible delay in payments","display_name":"Optimal payment time with deteriorating items under inflation and permissible delay in payments","publication_year":2009,"publication_date":"2009-10-01","ids":{"openalex":"https://openalex.org/W2114726744","doi":"https://doi.org/10.1080/00207720902974561","mag":"2114726744"},"language":"en","primary_location":{"id":"doi:10.1080/00207720902974561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902974561","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/A5110433257","display_name":"Chun\u2010Tao Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Chun-Tao Chang","raw_affiliation_strings":["Tamkang University","Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)"],"affiliations":[{"raw_affiliation_string":"Tamkang University","institution_ids":["https://openalex.org/I107470533"]},{"raw_affiliation_string":"Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)","institution_ids":["https://openalex.org/I107470533"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003710415","display_name":"Shuo\u2010Jye Wu","orcid":"https://orcid.org/0000-0001-7294-8018"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shuo-Jye Wu","raw_affiliation_strings":["Tamkang University","Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)"],"affiliations":[{"raw_affiliation_string":"Tamkang University","institution_ids":["https://openalex.org/I107470533"]},{"raw_affiliation_string":"Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)","institution_ids":["https://openalex.org/I107470533"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044574513","display_name":"Li-Ching Chen","orcid":"https://orcid.org/0000-0003-4940-2791"},"institutions":[{"id":"https://openalex.org/I107470533","display_name":"Tamkang University","ror":"https://ror.org/04tft4718","country_code":"TW","type":"education","lineage":["https://openalex.org/I107470533"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Li-Ching Chen","raw_affiliation_strings":["Tamkang University","Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)"],"affiliations":[{"raw_affiliation_string":"Tamkang University","institution_ids":["https://openalex.org/I107470533"]},{"raw_affiliation_string":"Department of Statistics , Tamkang University , Tamsui, Taipei, Taiwan (R.O.C)","institution_ids":["https://openalex.org/I107470533"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110433257"],"corresponding_institution_ids":["https://openalex.org/I107470533"],"apc_list":null,"apc_paid":null,"fwci":3.4354,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.92256098,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"40","issue":"10","first_page":"985","last_page":"993"},"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/T10539","display_name":"Sustainable Supply Chain Management","score":0.9912999868392944,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9477999806404114,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/payment","display_name":"Payment","score":0.7594712972640991},{"id":"https://openalex.org/keywords/inflation","display_name":"Inflation (cosmology)","score":0.695716917514801},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6096811890602112},{"id":"https://openalex.org/keywords/economic-shortage","display_name":"Economic shortage","score":0.5975250601768494},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49619489908218384},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4918639659881592},{"id":"https://openalex.org/keywords/econometrics","display_name":"Econometrics","score":0.46554526686668396},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.4332776367664337},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.42486822605133057},{"id":"https://openalex.org/keywords/actuarial-science","display_name":"Actuarial science","score":0.3920808434486389},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.34422898292541504},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2469782531261444},{"id":"https://openalex.org/keywords/finance","display_name":"Finance","score":0.13955649733543396},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.13302373886108398}],"concepts":[{"id":"https://openalex.org/C145097563","wikidata":"https://www.wikidata.org/wiki/Q1148747","display_name":"Payment","level":2,"score":0.7594712972640991},{"id":"https://openalex.org/C200941418","wikidata":"https://www.wikidata.org/wiki/Q273508","display_name":"Inflation (cosmology)","level":2,"score":0.695716917514801},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6096811890602112},{"id":"https://openalex.org/C194051981","wikidata":"https://www.wikidata.org/wiki/Q1337691","display_name":"Economic shortage","level":3,"score":0.5975250601768494},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49619489908218384},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4918639659881592},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.46554526686668396},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.4332776367664337},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.42486822605133057},{"id":"https://openalex.org/C162118730","wikidata":"https://www.wikidata.org/wiki/Q1128453","display_name":"Actuarial science","level":1,"score":0.3920808434486389},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.34422898292541504},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2469782531261444},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.13955649733543396},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.13302373886108398},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207720902974561","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720902974561","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"},{"id":"pmh:oai:tkuir.lib.tku.edu.tw:987654321/75070","is_oa":false,"landing_page_url":"https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/75070","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6100000143051147,"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321040","display_name":"National Science Council","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W1968490935","https://openalex.org/W1976799884","https://openalex.org/W1978415596","https://openalex.org/W1978520816","https://openalex.org/W1980020208","https://openalex.org/W1985590857","https://openalex.org/W1985694229","https://openalex.org/W1985696287","https://openalex.org/W1997625492","https://openalex.org/W2014874839","https://openalex.org/W2016460218","https://openalex.org/W2018319168","https://openalex.org/W2028134549","https://openalex.org/W2033341508","https://openalex.org/W2033492613","https://openalex.org/W2036712459","https://openalex.org/W2037411934","https://openalex.org/W2039872863","https://openalex.org/W2041620176","https://openalex.org/W2042975625","https://openalex.org/W2043840508","https://openalex.org/W2046543418","https://openalex.org/W2053179467","https://openalex.org/W2053824045","https://openalex.org/W2057355213","https://openalex.org/W2058594750","https://openalex.org/W2062132030","https://openalex.org/W2066312420","https://openalex.org/W2071197251","https://openalex.org/W2080905805","https://openalex.org/W2094687602","https://openalex.org/W2097210848","https://openalex.org/W2099979829","https://openalex.org/W2118289401","https://openalex.org/W2123598519","https://openalex.org/W2134403451","https://openalex.org/W2136707552","https://openalex.org/W2141727544","https://openalex.org/W2155209124","https://openalex.org/W2156699510","https://openalex.org/W2163401408","https://openalex.org/W2296645571","https://openalex.org/W2315672722","https://openalex.org/W3086826113","https://openalex.org/W4253821632"],"related_works":["https://openalex.org/W2579473328","https://openalex.org/W4239898203","https://openalex.org/W2509147714","https://openalex.org/W46955353","https://openalex.org/W2315021981","https://openalex.org/W2955295882","https://openalex.org/W2145869671","https://openalex.org/W2603666417","https://openalex.org/W2563217655","https://openalex.org/W2357816140"],"abstract_inverted_index":{"This":[0],"article":[1],"develops":[2],"an":[3,74],"inventory":[4],"model":[5,53],"under":[6],"a":[7,17,44,51],"situation":[8],"in":[9,37,46],"which":[10],"the":[11,14,27,30,56,69,79,83,92],"supplier":[12],"provides":[13],"purchaser":[15],"with":[16],"permissible":[18],"delay":[19,36],"of":[20,29],"payments.":[21],"Shortages":[22],"are":[23,39,86],"not":[24],"allowed":[25],"and":[26,35,60,72,91],"effect":[28],"inflation":[31],"rate,":[32],"deterioration":[33],"rate":[34],"payment":[38,58],"discussed":[40],"as":[41],"well.":[42],"As":[43],"result,":[45],"this":[47],"article,":[48],"we":[49,67],"establish":[50],"mathematical":[52],"to":[54,77],"determine":[55],"optimal":[57,70,80],"period":[59],"replenishment":[61],"cycle.":[62],"Using":[63],"Taylor":[64],"series":[65],"approximation,":[66],"characterise":[68],"solution":[71],"provide":[73],"easy-to-use":[75],"algorithm":[76],"find":[78],"solution.":[81],"Finally,":[82],"proposed":[84],"models":[85],"illustrated":[87],"through":[88],"numerical":[89],"examples":[90],"sensitivity":[93],"analysis":[94],"is":[95],"reported.":[96]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-17T09:09:15.849793","created_date":"2025-10-10T00:00:00"}