{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,1]],"date-time":"2025-11-01T09:26:20Z","timestamp":1761989180348,"version":"3.37.3"},"reference-count":32,"publisher":"EDP Sciences","issue":"4-5","license":[{"start":{"date-parts":[[2018,12,5]],"date-time":"2018-12-05T00:00:00Z","timestamp":1543968000000},"content-version":"vor","delay-in-days":65,"URL":"https:\/\/www.edpsciences.org\/en\/authors\/copyright-and-licensing"}],"funder":[{"name":"Not applicable","award":["Not applicable"],"award-info":[{"award-number":["Not applicable"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"accepted":{"date-parts":[[2018,1,31]]},"published-print":{"date-parts":[[2018,10]]},"abstract":"<jats:p>This paper model a vendor-buyer integrated production-inventory system by considering issues of imperfect quality of the item, trade credit finance, setup cost reduction and shortages including partial backlogging and lost sale. The vendor produces a lot in one production setup and sends to the buyer in multiple shipments to fulfill customers\u2019 demand. Due to imperfect production and\/or unsafe transportation, the received lot of the buyer contains the imperfect quality of the item, which is detected through the screening process, and is sold at a discounted price in a single batch at the end of the process. To accelerate bulk purchasing, the vendor offers a trade credit period to the buyer to settle the amount. In this regard, we develop a methodology to account the opportunity cost and opportunity gain. Depending upon the screening period <jats:italic>\u03bc<\/jats:italic>, trade credit period <jats:italic>M<\/jats:italic>, shortage beginning time <jats:italic>t<\/jats:italic> and the buyer\u2019s scheduling period <jats:italic>T<\/jats:italic>, we consider four cases: (1) <jats:italic>M<\/jats:italic> &lt; <jats:italic>\u03bc<\/jats:italic> &lt; <jats:italic>t<\/jats:italic> &lt; <jats:italic>T<\/jats:italic>, (2) <jats:italic>\u03bc<\/jats:italic> &lt; <jats:italic>M<\/jats:italic> &lt; <jats:italic>t<\/jats:italic> &lt; <jats:italic>T<\/jats:italic>, (3) <jats:italic>\u03bc<\/jats:italic> &lt; <jats:italic>t<\/jats:italic> &lt; <jats:italic>M<\/jats:italic> &lt; <jats:italic>T<\/jats:italic> and (4) <jats:italic>\u03bc<\/jats:italic> &lt; <jats:italic>t<\/jats:italic> &lt; <jats:italic>T<\/jats:italic> &lt; <jats:italic>M<\/jats:italic>. The proposed integrated model is testified with numerical experiment and sensitivity analysis by changing the value of key parameters.<\/jats:p>","DOI":"10.1051\/ro\/2018014","type":"journal-article","created":{"date-parts":[[2018,2,5]],"date-time":"2018-02-05T19:56:18Z","timestamp":1517860578000},"page":"1277-1293","source":"Crossref","is-referenced-by-count":10,"title":["Vendor-buyer integrated production-inventory system for imperfect quality item under trade credit finance and variable setup cost"],"prefix":"10.1051","volume":"52","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1783-4090","authenticated-orcid":false,"given":"Dipana Jyoti","family":"Mohanty","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2295-8749","authenticated-orcid":false,"given":"Ravi Shankar","family":"Kumar","sequence":"additional","affiliation":[]},{"given":"Adrijit","family":"Goswami","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/j.cie.2011.08.016","volume":"62","author":"Arkan","year":"2012","journal-title":"Comput. Ind. Eng."},{"key":"R2","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.omega.2009.09.006","volume":"38","author":"Chang","year":"2010","journal-title":"Omega"},{"key":"R3","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1016\/j.ijpe.2013.05.032","volume":"155","author":"Chen","year":"2014","journal-title":"Int. J. Prod. Econ."},{"key":"R4","doi-asserted-by":"crossref","first-page":"1069","DOI":"10.1057\/jors.1985.186","volume":"36","author":"Dave","year":"1985","journal-title":"J. Oper. Res. Soc."},{"key":"R5","doi-asserted-by":"crossref","first-page":"222","DOI":"10.1016\/j.ijpe.2014.02.004","volume":"155","author":"Dey","year":"2014","journal-title":"Int. J. Prod. Econ."},{"key":"R6","doi-asserted-by":"crossref","first-page":"544","DOI":"10.1016\/j.ijpe.2006.06.015","volume":"106","author":"Eroglu","year":"2007","journal-title":"Int. J. Prod. Econ."},{"key":"R7","first-page":"25","volume":"26","author":"Giri","year":"2016","journal-title":"Oper. Res."},{"key":"R8","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1057\/jors.1985.56","volume":"36","author":"Goyal","year":"1985","journal-title":"J. Oper. Res. Soc."},{"key":"R9","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/S0925-5273(01)00203-1","volume":"77","author":"Goyal","year":"2002","journal-title":"Int. J. Prod. Econ."},{"key":"R10","doi-asserted-by":"crossref","first-page":"91","DOI":"10.1016\/S0925-5273(03)00220-2","volume":"91","author":"Huang","year":"2004","journal-title":"Int. J. Prod. Econ."},{"key":"R11","first-page":"541","volume":"252","author":"Jaggi","year":"2015","journal-title":"Appl. Math. Comput."},{"key":"R12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ijpe.2011.03.009","volume":"132","author":"Khan","year":"2011","journal-title":"Int. J. Prod. Econ."},{"key":"R13","doi-asserted-by":"crossref","first-page":"808","DOI":"10.1016\/j.ijpe.2007.07.003","volume":"112","author":"Maddah","year":"2008","journal-title":"Int. J. Prod. Econ."},{"key":"R14","doi-asserted-by":"crossref","first-page":"691","DOI":"10.1016\/j.cie.2010.01.014","volume":"58","author":"Maddah","year":"2010","journal-title":"Comput. Ind. Eng."},{"key":"R15","doi-asserted-by":"crossref","first-page":"3242","DOI":"10.1016\/j.apm.2015.09.095","volume":"40","author":"Moussawi-Haidar","year":"2016","journal-title":"Appl. Math. Model."},{"key":"R16","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.ijpe.2008.04.012","volume":"115","author":"Ouyang","year":"2008","journal-title":"Int. J. Prod. Econ."},{"key":"R17","doi-asserted-by":"crossref","first-page":"148","DOI":"10.1016\/j.ijpe.2004.11.004","volume":"100","author":"Papachristos","year":"2006","journal-title":"Int. J. Prod. Econ."},{"key":"R18","doi-asserted-by":"crossref","first-page":"137","DOI":"10.1287\/opre.34.1.137","volume":"34","author":"Porteus","year":"1986","journal-title":"Oper. Res."},{"key":"R19","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1016\/j.jmsy.2014.06.003","volume":"33","author":"Priyan","year":"2014","journal-title":"J. Manuf. Syst."},{"key":"R20","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/S0925-5273(99)00044-4","volume":"64","author":"Salameh","year":"2016","journal-title":"Int. J. Prod. Econ."},{"key":"R21","first-page":"650","volume":"237","author":"Sarkar","year":"2014","journal-title":"Appl. Math. Comput."},{"key":"R22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2015\/469486","volume":"2015","author":"Sarkar","year":"2015","journal-title":"Math. Probl. Eng."},{"key":"R23","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.ejor.2013.03.016","volume":"231","author":"Seifert","year":"2013","journal-title":"Eur. J. Oper. Res."},{"key":"R24","doi-asserted-by":"crossref","first-page":"112","DOI":"10.1016\/j.tre.2005.08.001","volume":"43","author":"Sheen","year":"2007","journal-title":"Transp. Res. Part E: Logist. Transp. Rev."},{"key":"R25","doi-asserted-by":"crossref","first-page":"915","DOI":"10.1057\/palgrave.jors.2601410","volume":"53","author":"Teng","year":"2002","journal-title":"J. Oper. Res. Soc."},{"key":"R26","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1016\/j.ijpe.2004.04.010","volume":"97","author":"Teng","year":"2005","journal-title":"Int. J. Prod. Econ."},{"key":"R27","doi-asserted-by":"crossref","first-page":"7624","DOI":"10.1016\/j.apm.2013.02.009","volume":"37","author":"Teng","year":"2013","journal-title":"Appl. Math. Model."},{"key":"R28","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1007\/s10100-012-0277-0","volume":"21","author":"V\u00f6r\u00f6s","year":"2013","journal-title":"Cent. Eur. J. Oper. Res."},{"key":"R29","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1016\/j.omega.2005.01.019","volume":"35","author":"Wee","year":"2007","journal-title":"Omega"},{"key":"R30","doi-asserted-by":"crossref","first-page":"797","DOI":"10.1111\/itor.12060","volume":"21","author":"Wu","year":"2014","journal-title":"Int. Trans. Oper. Res."},{"key":"R31","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1016\/j.ijpe.2006.12.051","volume":"109","author":"Zhang","year":"2007","journal-title":"Int. J. Prod. Econ."},{"key":"R32","doi-asserted-by":"crossref","first-page":"1012","DOI":"10.1016\/j.apm.2015.06.020","volume":"40","author":"Zhou","year":"2016","journal-title":"Appl. Math. Model."}],"container-title":["RAIRO - Operations Research"],"original-title":[],"link":[{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2018014\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,20]],"date-time":"2020-03-20T07:57:25Z","timestamp":1584691045000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2018014"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,10]]},"references-count":32,"journal-issue":{"issue":"4-5"},"alternative-id":["ro170019"],"URL":"https:\/\/doi.org\/10.1051\/ro\/2018014","relation":{},"ISSN":["0399-0559","1290-3868"],"issn-type":[{"type":"print","value":"0399-0559"},{"type":"electronic","value":"1290-3868"}],"subject":[],"published":{"date-parts":[[2018,10]]}}}