{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,23]],"date-time":"2026-01-23T05:51:40Z","timestamp":1769147500398,"version":"3.49.0"},"reference-count":68,"publisher":"World Scientific Pub Co Pte Lt","issue":"01","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Asia Pac. J. Oper. Res."],"published-print":{"date-parts":[[2008,2]]},"abstract":"<jats:p> Since the publication of the Goyal model in 1985, research on the modeling of inventory lot-size under trade credits has resulted in a body of literature. In this paper, we present a review of the advances in inventory literature under conditions of permissible delay in payments since 1985. We classify all related previous articles into five categories based on: (a) without deterioration, (b) with deterioration, (c) with allowable shortage, (d) linked to order quantity, and (e) with inflation. The motivations, extensions and weaknesses of various previous models have been discussed in brief to bring out pertinent information regarding model developments in the past two decades. <\/jats:p>","DOI":"10.1142\/s0217595908001651","type":"journal-article","created":{"date-parts":[[2008,4,3]],"date-time":"2008-04-03T11:07:31Z","timestamp":1207220851000},"page":"89-112","source":"Crossref","is-referenced-by-count":83,"title":["INVENTORY LOT-SIZE MODELS UNDER TRADE CREDITS: A REVIEW"],"prefix":"10.1142","volume":"25","author":[{"given":"CHUN-TAO","family":"CHANG","sequence":"first","affiliation":[{"name":"Department of Statistics, Tamkang University, Tamsui, Taipei, Taiwan 25137, Taiwan"}]},{"given":"JINN-TSAIR","family":"TENG","sequence":"additional","affiliation":[{"name":"Department of Marketing and Management Sciences, William Paterson University of New Jersey, Wayne, New Jersey 07470-2103, USA"}]},{"given":"SURESH KUMAR","family":"GOYAL","sequence":"additional","affiliation":[{"name":"Department of Decision Sciences &amp; MIS, Concordia University Montreal, Quebec, Canada, H3G1M8, Canada"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(02)00142-1"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1995.90"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(02)00080-1"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1287\/mnsc.1040.0278"},{"key":"rf5","first-page":"83","volume":"38","author":"Chand S.","journal-title":"Journal of the Operational Research Society"},{"key":"rf6","first-page":"57","volume":"13","author":"Chang C. T.","journal-title":"International Journal of Information and Management Sciences"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(03)00192-0"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/S0307-904X(03)00131-8"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s001860400370"},{"key":"rf10","first-page":"472","volume":"14","author":"Chang C. T.","journal-title":"Production Planning & Control"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1080\/002077201300029700"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.2298\/YJOR0201073C"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1080\/095372801300107806"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1080\/00207720110091460"},{"key":"rf15","first-page":"23","volume":"16","author":"Chen M. S.","journal-title":"Asia-Pacific Journal of Operational Research"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(98)00006-9"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(98)80007-5"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1080\/02522667.1998.10699389"},{"key":"rf19","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1007\/BF03398618","volume":"37","author":"Chung K. J.","journal-title":"Opsearch"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1080\/00137910108967575"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(02)00465-6"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1080\/095372800232333"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2006.05.008"},{"key":"rf24","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/BF03399193","volume":"39","author":"Chung K. J.","journal-title":"Opsearch"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(03)00043-1"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2004.10.011"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2003.12.006"},{"key":"rf28","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1985.186"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1985.56"},{"key":"rf30","first-page":"323","volume":"39","author":"Goyal S. K.","journal-title":"Journal of the Operational Research Society"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-2217(00)00248-4"},{"key":"rf32","first-page":"322","volume":"39","author":"Gupta O. K.","journal-title":"Journal of the Operational Research Society"},{"key":"rf33","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2601588"},{"key":"rf34","doi-asserted-by":"publisher","DOI":"10.1080\/09537280310001649372"},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2005.05.009"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.08.017"},{"key":"rf37","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.10.035"},{"key":"rf38","first-page":"177","volume":"20","author":"Huang Y. F.","journal-title":"Asia-Pacific Journal of Operational Research"},{"key":"rf39","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(96)00069-X"},{"key":"rf40","doi-asserted-by":"publisher","DOI":"10.1016\/0925-5273(94)90031-0"},{"key":"rf41","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2600428"},{"key":"rf42","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(99)00108-5"},{"key":"rf43","doi-asserted-by":"publisher","DOI":"10.1016\/0278-6125(96)84196-3"},{"key":"rf44","doi-asserted-by":"publisher","DOI":"10.1080\/09537289508930252"},{"key":"rf45","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2005.11.016"},{"key":"rf46","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(99)00015-8"},{"key":"rf47","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2601881"},{"key":"rf48","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2004.06.053"},{"key":"rf49","doi-asserted-by":"publisher","DOI":"10.1007\/s10898-005-2604-7"},{"key":"rf50","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1989.143"},{"key":"rf51","doi-asserted-by":"publisher","DOI":"10.1016\/S0925-5273(03)00089-6"},{"key":"rf52","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(99)00008-8"},{"key":"rf53","doi-asserted-by":"publisher","DOI":"10.1080\/095372800232117"},{"key":"rf54","doi-asserted-by":"publisher","DOI":"10.1016\/0925-5273(93)90009-A"},{"key":"rf55","first-page":"115","volume":"35","author":"Shah N. H.","journal-title":"Cahiers du CERO"},{"key":"rf56","first-page":"175","volume":"18","author":"Shah N. H.","journal-title":"Journal of Korean Society of Operations Research"},{"key":"rf57","doi-asserted-by":"publisher","DOI":"10.1142\/S0217595904000266"},{"key":"rf58","doi-asserted-by":"publisher","DOI":"10.1080\/00207729808929504"},{"key":"rf59","first-page":"51","volume":"15","author":"Shah V. R.","journal-title":"Gujarat Statistical Review"},{"key":"rf60","doi-asserted-by":"publisher","DOI":"10.1080\/09537280152583002"},{"key":"rf61","doi-asserted-by":"publisher","DOI":"10.1016\/S0360-8352(97)00230-1"},{"key":"rf62","doi-asserted-by":"publisher","DOI":"10.1016\/S0305-0548(01)00076-4"},{"key":"rf63","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2005.07.002"},{"key":"rf64","doi-asserted-by":"publisher","DOI":"10.1057\/palgrave.jors.2601410"},{"key":"rf65","first-page":"271","volume":"38","author":"Teng J. T.","journal-title":"International Journal of System Sciences"},{"key":"rf66","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2004.04.010"},{"key":"rf67","doi-asserted-by":"publisher","DOI":"10.1111\/j.1475-3995.2006.00561.x"},{"key":"rf68","doi-asserted-by":"publisher","DOI":"10.1057\/jors.1985.169"}],"container-title":["Asia-Pacific Journal of Operational Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0217595908001651","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T22:43:04Z","timestamp":1565131384000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0217595908001651"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,2]]},"references-count":68,"journal-issue":{"issue":"01","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2008,2]]}},"alternative-id":["10.1142\/S0217595908001651"],"URL":"https:\/\/doi.org\/10.1142\/s0217595908001651","relation":{},"ISSN":["0217-5959","1793-7019"],"issn-type":[{"value":"0217-5959","type":"print"},{"value":"1793-7019","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,2]]}}}