{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,17]],"date-time":"2026-03-17T22:43:24Z","timestamp":1773787404428,"version":"3.50.1"},"reference-count":62,"publisher":"EDP Sciences","issue":"1","license":[{"start":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T00:00:00Z","timestamp":1644192000000},"content-version":"vor","delay-in-days":37,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["RAIRO-Oper. Res."],"accepted":{"date-parts":[[2021,12,16]]},"published-print":{"date-parts":[[2022,1]]},"abstract":"<jats:p>Every industrial sector emits carbon emissions during production, which is always a major concern for environmental practitioners. To resolve this, innovative and smart ways are required that are not only cost-effective but also environmentally savvy. Moreover, the production processes are also prone to various imperfections, and thus the production of defectives is quite pragmatic. The handling of such defective products varies from industry to industry and type of products. The present study constructs an inventory model to handle the defective products <jats:italic>via<\/jats:italic> a proficient rework strategy that makes the product fit to be sold at the primary price. Here, the demand for the product is assumed to be dependent on the selling price and advertisements. The model also considers the energy usage during the production and the cost of carbon emissions while optimizing the production batch size and selling price. Optimality is proved graphically by using the software Mathematica 11.3.0. A comprehensive sensitivity analysis for all the parameters is performed to impart managerial insights and robustness to the model.<\/jats:p>","DOI":"10.1051\/ro\/2021188","type":"journal-article","created":{"date-parts":[[2021,12,20]],"date-time":"2021-12-20T09:07:54Z","timestamp":1639991274000},"page":"183-197","source":"Crossref","is-referenced-by-count":53,"title":["Optimal inventory strategies for an imperfect production system with advertisement and price reliant demand under rework option for defectives"],"prefix":"10.1051","volume":"56","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0482-3664","authenticated-orcid":false,"given":"Prerna","family":"Gautam","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4771-6797","authenticated-orcid":false,"given":"Sumit","family":"Maheshwari","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6241-2287","authenticated-orcid":false,"given":"Ahmad","family":"Hasan","sequence":"additional","affiliation":[]},{"given":"Amrina","family":"Kausar","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6179-8376","authenticated-orcid":false,"given":"Chandra K.","family":"Jaggi","sequence":"additional","affiliation":[]}],"member":"250","published-online":{"date-parts":[[2022,2,7]]},"reference":[{"key":"R1","doi-asserted-by":"crossref","first-page":"875","DOI":"10.1057\/palgrave.jors.2600974","volume":"51","author":"Ben-Daya","year":"2000","journal-title":"J. Oper. Res. Soc."},{"key":"R2","first-page":"41","volume":"22","author":"Bhunia","year":"1997","journal-title":"IAPQR Trans."},{"key":"R3","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/j.cie.2016.08.021","volume":"101","author":"Biel","year":"2016","journal-title":"Comput. Ind. Eng."},{"key":"R4","doi-asserted-by":"crossref","first-page":"667","DOI":"10.1016\/j.jclepro.2010.11.011","volume":"19","author":"Bunse","year":"2011","journal-title":"J. Clean. Prod."},{"key":"R5","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1016\/j.cie.2009.04.020","volume":"57","author":"C\u00e1rdenas-Barr\u00f3n","year":"2009","journal-title":"Comput. Ind. Eng."},{"key":"R6","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1080\/03052150310001597783","volume":"35","author":"Chiu","year":"2003","journal-title":"Eng. Optim."},{"key":"R7","doi-asserted-by":"crossref","first-page":"375","DOI":"10.1007\/BF03167589","volume":"21","author":"Chiu","year":"2004","journal-title":"Jpn. J. Ind. Appl. Math."},{"key":"R8","first-page":"288","volume":"10","author":"Choudhury","year":"2015","journal-title":"Int. J. Manag. Sci. Eng. Manag."},{"key":"R9","doi-asserted-by":"crossref","first-page":"483","DOI":"10.1016\/S0305-0548(01)00091-0","volume":"30","author":"Chung","year":"2003","journal-title":"Comput. Oper. Res."},{"key":"R10","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1007\/s12597-019-00404-0","volume":"57","author":"Dari","year":"2020","journal-title":"Opsearch"},{"key":"R11","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1051\/ro\/2018009","volume":"53","author":"Dey","year":"2019","journal-title":"RAIRO-Oper. Res."},{"key":"R12","doi-asserted-by":"crossref","first-page":"115464","DOI":"10.1016\/j.eswa.2021.115464","volume":"184","author":"Dey","year":"2021","journal-title":"Expert Syst. Appl."},{"key":"R13","doi-asserted-by":"crossref","unstructured":"De-la-Cruz-M\u00e1rquez C.G., C\u00e1rdenas-Barr\u00f3n L.E. and Mandal B., An inventory model for growing items with imperfect quality when the demand is price sensitive under carbon emissions and shortages. Math. Probl. Eng. (2021) 1\u201323.","DOI":"10.1155\/2021\/6649048"},{"key":"R14","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":"R15","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1016\/j.jclepro.2019.06.005","volume":"233","author":"Gautam","year":"2019","journal-title":"J. Clean. Prod."},{"key":"R16","doi-asserted-by":"crossref","first-page":"289","DOI":"10.2298\/YJOR190315018G","volume":"30","author":"Gautam","year":"2020","journal-title":"Yugosl. J. Oper. Res."},{"key":"R17","doi-asserted-by":"crossref","unstructured":"Gautam P., Maheshwari S., Kausar A. and Jaggi C.K., Inventory models for imperfect quality items: a two-decade review. Adv. Interdiscip. Res. Eng. Business Manag. (2021) 185\u2013215.","DOI":"10.1007\/978-981-16-0037-1_16"},{"key":"R18","doi-asserted-by":"crossref","first-page":"8617","DOI":"10.1016\/j.apm.2013.03.043","volume":"37","author":"Glock","year":"2013","journal-title":"Appl. Math. Model."},{"key":"R19","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1108\/09574091211289219","volume":"23","author":"Glock","year":"2012","journal-title":"Int. J. Logist. Manag."},{"key":"R20","doi-asserted-by":"crossref","first-page":"755","DOI":"10.1016\/0360-8352(95)00016-T","volume":"28","author":"Goyal","year":"1995","journal-title":"Comput. Ind. Eng."},{"key":"R21","doi-asserted-by":"crossref","first-page":"251","DOI":"10.1051\/ro\/2018101","volume":"54","author":"Guchhait","year":"2020","journal-title":"RAIRO-Oper. Res."},{"key":"R22","first-page":"135","volume":"10","author":"Harris","year":"1913","journal-title":"Fact. Mag. Manag."},{"key":"R23","doi-asserted-by":"crossref","first-page":"584","DOI":"10.1080\/095372801750397707","volume":"12","author":"Hayek","year":"2001","journal-title":"Prod. Plan. Control."},{"key":"R24","doi-asserted-by":"crossref","first-page":"7049","DOI":"10.1080\/00207543.2014.961208","volume":"53","author":"Jeon","year":"2015","journal-title":"Int. J. Prod. Res."},{"key":"R25","doi-asserted-by":"crossref","first-page":"1748","DOI":"10.1080\/00207543.2016.1235295","volume":"55","author":"Kang","year":"2017","journal-title":"Int. J. Prod. Res."},{"key":"R26","first-page":"85","volume":"8","author":"Khanna","year":"2017","journal-title":"Int. J. Ind. Eng. Comput."},{"key":"R27","doi-asserted-by":"crossref","first-page":"339","DOI":"10.2298\/YJOR190410012K","volume":"30","author":"Khanna","year":"2020","journal-title":"Yugosl. J. Oper. Res."},{"key":"R28","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1051\/ro\/2019029","volume":"54","author":"Khanna","year":"2020","journal-title":"RAIRO-Oper. Res."},{"key":"R29","first-page":"43","volume":"13","author":"Khedlekar","year":"2018","journal-title":"Reliab. Theory Appl."},{"key":"R30","first-page":"3265","volume":"27","author":"Kishore","year":"2020","journal-title":"Sci. Iran."},{"key":"R31","unstructured":"Kotler P., Marketing decision making: a model building approach, Holt, Rinehart, and Winston (1972) 23\u201337."},{"key":"R32","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1080\/05695557408974930","volume":"6","author":"Ladany","year":"1974","journal-title":"AIIE Trans."},{"key":"R33","doi-asserted-by":"crossref","first-page":"1314","DOI":"10.1287\/mnsc.38.9.1314","volume":"38","author":"Lee","year":"1992","journal-title":"Manage. Sci."},{"key":"R34","doi-asserted-by":"crossref","first-page":"586","DOI":"10.1080\/095372897234920","volume":"8","author":"Lee","year":"1997","journal-title":"Prod. Plan. Control."},{"key":"R35","doi-asserted-by":"crossref","first-page":"685","DOI":"10.1016\/S0360-8352(97)00327-6","volume":"34","author":"Luo","year":"1998","journal-title":"Comput. Ind. Eng."},{"key":"R36","doi-asserted-by":"crossref","first-page":"1103","DOI":"10.1051\/ro\/2019015","volume":"54","author":"Manna","year":"2020","journal-title":"RAIRO-Oper. Res."},{"key":"R37","doi-asserted-by":"crossref","first-page":"858","DOI":"10.3390\/en11040858","volume":"11","author":"Marchi","year":"2018","journal-title":"Energies"},{"key":"R38","doi-asserted-by":"crossref","first-page":"502","DOI":"10.1016\/j.cie.2019.02.009","volume":"129","author":"Marchi","year":"2019","journal-title":"Comput. Ind. Eng."},{"key":"R39","doi-asserted-by":"crossref","first-page":"123699","DOI":"10.1016\/j.jclepro.2020.123699","volume":"279","author":"Mishra","year":"2021","journal-title":"J. Clean. Prod."},{"key":"R40","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.cirpj.2017.08.001","volume":"20","author":"Modak","year":"2018","journal-title":"CIRP J. Manuf. Sci. Technol."},{"key":"R41","doi-asserted-by":"crossref","first-page":"2845","DOI":"10.1016\/j.apm.2008.08.015","volume":"33","author":"Mondal","year":"2009","journal-title":"Appl. Math. Model."},{"key":"R42","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":"R43","doi-asserted-by":"crossref","first-page":"4247","DOI":"10.1080\/00207540701450013","volume":"45","author":"Mouzon","year":"2007","journal-title":"Int. J. Prod. Res."},{"key":"R44","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":"R45","doi-asserted-by":"crossref","first-page":"654","DOI":"10.1016\/j.jclepro.2015.11.004","volume":"113","author":"Purohit","year":"2016","journal-title":"J. Clean. Prod."},{"key":"R46","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1080\/07408178608975329","volume":"18","author":"Rosenblatt","year":"1986","journal-title":"IIE Trans."},{"key":"R47","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1007\/s12597-019-00390-3","volume":"56","author":"Rout","year":"2019","journal-title":"Opsearch"},{"key":"R48","doi-asserted-by":"crossref","first-page":"122170","DOI":"10.1016\/j.jclepro.2020.122170","volume":"272","author":"Rout","year":"2020","journal-title":"J. Clean. Prod."},{"key":"R49","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1007\/s13198-019-00867-w","volume":"11","author":"Ruidas","year":"2020","journal-title":"Int. J. Syst. Assur. Eng. Manag."},{"key":"R50","doi-asserted-by":"crossref","first-page":"107154","DOI":"10.1016\/j.cie.2021.107154","volume":"154","author":"Ruidas","year":"2021","journal-title":"Comput. Ind. Eng."},{"key":"R51","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/S0925-5273(99)00044-4","volume":"64","author":"Salameh","year":"2000","journal-title":"Int. J. Prod. Econ."},{"key":"R52","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1016\/j.ejor.2009.02.027","volume":"201","author":"Sana","year":"2010","journal-title":"Eur. J. Oper. Res."},{"key":"R53","first-page":"343","volume":"18","author":"Shah","year":"2018","journal-title":"Oper. Res."},{"key":"R54","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1080\/05695558108974567","volume":"13","author":"Subramanyam","year":"1981","journal-title":"AIIE Trans."},{"key":"R55","first-page":"1410","volume":"101","author":"Taft","year":"1918","journal-title":"Iron Age"},{"key":"R56","doi-asserted-by":"crossref","first-page":"879","DOI":"10.1016\/j.cie.2013.09.007","volume":"66","author":"Tai","year":"2013","journal-title":"Comput. Ind. Eng."},{"key":"R57","doi-asserted-by":"crossref","first-page":"211","DOI":"10.3390\/su8030211","volume":"8","author":"Tang","year":"2016","journal-title":"Sustainability"},{"key":"R58","doi-asserted-by":"crossref","first-page":"1299","DOI":"10.1080\/00207548808947947","volume":"26","author":"Tayi","year":"1988","journal-title":"Int. J. Prod. Res."},{"key":"R59","doi-asserted-by":"crossref","first-page":"281","DOI":"10.1016\/j.jclepro.2018.04.261","volume":"192","author":"Tiwari","year":"2018","journal-title":"J. Clean. Prod."},{"key":"R60","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1016\/0360-8352(92)90035-I","volume":"22","author":"Urban","year":"1992","journal-title":"Comput. Ind. Eng."},{"key":"R61","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.jclepro.2016.06.047","volume":"135","author":"Xu","year":"2016","journal-title":"J. Clean. Prod."},{"key":"R62","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1142\/S0219686717500056","volume":"16","author":"Zhu","year":"2017","journal-title":"J. Adv. Manuf. Syst."}],"container-title":["RAIRO - Operations Research"],"original-title":[],"link":[{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2021188\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,2,7]],"date-time":"2022-02-07T09:17:04Z","timestamp":1644225424000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.rairo-ro.org\/10.1051\/ro\/2021188"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1]]},"references-count":62,"journal-issue":{"issue":"1"},"alternative-id":["ro210283"],"URL":"https:\/\/doi.org\/10.1051\/ro\/2021188","relation":{},"ISSN":["0399-0559","2804-7303"],"issn-type":[{"value":"0399-0559","type":"print"},{"value":"2804-7303","type":"electronic"}],"subject":[],"published":{"date-parts":[[2022,1]]}}}