{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,24]],"date-time":"2026-08-24T09:18:29Z","timestamp":1787563109757,"version":"build-2736575974"},"reference-count":24,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T00:00:00Z","timestamp":1579564800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Shandong Provincial Social Science Plan Foundation, China","award":["19BYSJ13"],"award-info":[{"award-number":["19BYSJ13"]}]},{"name":"Shandong Provincial Social Science Plan Foundation, China","award":["ZR2018 MG004"],"award-info":[{"award-number":["ZR2018 MG004"]}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["19BYSJ13"],"award-info":[{"award-number":["19BYSJ13"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007129","name":"Natural Science Foundation of Shandong Province","doi-asserted-by":"publisher","award":["ZR2018 MG004"],"award-info":[{"award-number":["ZR2018 MG004"]}],"id":[{"id":"10.13039\/501100007129","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2020,1,21]]},"abstract":"<jats:p>Uncertainties and lead times make the closed-loop supply chain (CLSC) more complex, less stable, and then the bullwhip effect (BE) will become more intense. This paper will address a fuzzy robust control (FRC) approach to mitigate the BE in the uncertain CLSC with lead times. For the reverse channels for products in the CLSC, the customers\u2019 used products are recycled by both the manufacturer and the third party recovery provider, and new products bought by customers within a certain period of time can be returned to the retailer. In the CLSC system, the state transformation equations of the inventories and the total operation cost are set up. A new FRC approach is proposed to mitigate the BE and realize the robust stability of the uncertain CLSC with lead times. A simulation example verifies the mitigation effect of the BE under the proposed FRC approach.<\/jats:p>","DOI":"10.1155\/2020\/1085870","type":"journal-article","created":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T18:30:33Z","timestamp":1579631433000},"page":"1-17","source":"Crossref","is-referenced-by-count":14,"title":["Mitigation of Bullwhip Effect in Closed-Loop Supply Chain Based on Fuzzy Robust Control Approach"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8040-2023","authenticated-orcid":true,"given":"Songtao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Logistics, Linyi University, Linyi 276005, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2406-5007","authenticated-orcid":true,"given":"Min","family":"Zhang","sequence":"additional","affiliation":[{"name":"Library, Linyi University, Linyi 276005, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2017.02.138"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1080\/01605682.2019.1654413"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2016.02.011"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ijpe.2019.01.011"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2012.01.006"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.04.003"},{"key":"7","doi-asserted-by":"crossref","first-page":"406","DOI":"10.1016\/j.jclepro.2018.02.209","volume":"189","year":"2018","journal-title":"Journal of Cleaner Production"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.4028\/www.scientific.net\/amr.219-220.722"},{"key":"10","first-page":"419","volume-title":"Quantifying the bullwhip effect of multi-echelon system with stochastic dependent lead time","volume":"438","year":"2014"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2007.09.015"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2005.01.043"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2018.05.067"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.02.033"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2014.12.024"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejor.2012.07.029"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1080\/00207720110092180"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1080\/00207540701636355"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2016.2574910"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2018.03.029"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1109\/tsmc.1985.6313399"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2004.04.008"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2003.819834"},{"key":"24","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/2017634"},{"key":"25","doi-asserted-by":"publisher","DOI":"10.1016\/j.tre.2019.02.007"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1085870.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1085870.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2020\/1085870.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T18:30:35Z","timestamp":1579631435000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/complexity\/2020\/1085870\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,21]]},"references-count":24,"alternative-id":["1085870","1085870"],"URL":"https:\/\/doi.org\/10.1155\/2020\/1085870","relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"value":"1076-2787","type":"print"},{"value":"1099-0526","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1,21]]}}}