{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,17]],"date-time":"2026-08-17T16:01:38Z","timestamp":1786982498370,"version":"3.56.0"},"reference-count":84,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T00:00:00Z","timestamp":1615248000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T00:00:00Z","timestamp":1615248000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Ambient Intell Human Comput"],"published-print":{"date-parts":[[2022,4]]},"DOI":"10.1007\/s12652-021-02971-x","type":"journal-article","created":{"date-parts":[[2021,3,9]],"date-time":"2021-03-09T01:43:19Z","timestamp":1615254199000},"page":"2061-2089","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":26,"title":["Modeling and optimizing a multi-period closed-loop supply chain for pricing, warranty period, and quality management"],"prefix":"10.1007","volume":"13","author":[{"given":"Fatemeh","family":"Keshavarz-Ghorbani","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alireza","family":"Arshadi Khamseh","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2021,3,9]]},"reference":[{"issue":"6","key":"2971_CR1","doi-asserted-by":"publisher","first-page":"4570","DOI":"10.1016\/j.apm.2012.09.006","volume":"37","author":"DI Abu-Al-Nadi","year":"2013","unstructured":"Abu-Al-Nadi DI, Alsmadi OM, Abo-Hammour ZS, Hawa MF, Rahhal JS (2013) Invasive weed optimization for model order reduction of linear MIMO systems. Appl Math Model 37(6):4570\u20134577. https:\/\/doi.org\/10.1016\/j.apm.2012.09.006","journal-title":"Appl Math Model"},{"key":"2971_CR2","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1016\/j.eswa.2018.03.029","volume":"104","author":"SF Alamdar","year":"2018","unstructured":"Alamdar SF, Rabbani M, Heydari J (2018) Pricing, collection, and effort decisions with coordination contracts in a fuzzy, three-level closed-loop supply chain. Expert Syst Appl 104:261\u2013276. https:\/\/doi.org\/10.1016\/j.eswa.2018.03.029","journal-title":"Expert Syst Appl"},{"key":"2971_CR3","doi-asserted-by":"publisher","first-page":"1130","DOI":"10.1016\/j.apm.2020.10.024","volume":"90","author":"A Alejo-Reyes","year":"2021","unstructured":"Alejo-Reyes A, Mendoza A, Olivares-Benitez E (2021) A heuristic method for the supplier selection and order quantity allocation problem. Appl Math Model 90:1130\u20131142. https:\/\/doi.org\/10.1016\/j.apm.2020.10.024","journal-title":"Appl Math Model"},{"key":"2971_CR4","doi-asserted-by":"publisher","first-page":"164","DOI":"10.1016\/j.apm.2018.08.007","volume":"65","author":"R As'ad","year":"2019","unstructured":"As\u2019ad R, Hariga M, Alkhatib O (2019) Two stage closed loop supply chain models under consignment stock agreement and different procurement strategies. Appl Math Model 65:164\u2013186. https:\/\/doi.org\/10.1016\/j.apm.2018.08.007","journal-title":"Appl Math Model"},{"key":"2971_CR5","doi-asserted-by":"publisher","first-page":"184","DOI":"10.1016\/j.tre.2015.02.017","volume":"77","author":"J Ashayeri","year":"2015","unstructured":"Ashayeri J, Ma N, Sotirov R (2015) The redesign of a warranty distribution network with recovery processes. Transp Res Part E Logist Transp Rev 77:184\u2013197. https:\/\/doi.org\/10.1016\/j.tre.2015.02.017","journal-title":"Transp Res Part E Logist Transp Rev"},{"issue":"3","key":"2971_CR6","doi-asserted-by":"publisher","first-page":"1197","DOI":"10.1007\/s00707-017-2043-9","volume":"229","author":"H Azimi","year":"2018","unstructured":"Azimi H, Bonakdari H, Ebtehaj I, Gharabaghi B, Khoshbin F (2018) Evolutionary design of generalized group method of data handling-type neural network for estimating the hydraulic jump roller length. Acta Mech 229(3):1197\u20131214. https:\/\/doi.org\/10.1007\/s00707-017-2043-9","journal-title":"Acta Mech"},{"issue":"3","key":"2971_CR7","doi-asserted-by":"publisher","first-page":"460","DOI":"10.1016\/j.ifacol.2015.06.124","volume":"48","author":"S Bhakthavatchalam","year":"2015","unstructured":"Bhakthavatchalam S, Diallo C, Venkatadri U, Khatab A (2015) Quality, Reliability, Maintenance Issues in Closed-Loop Supply Chains: A Review. IFAC-PapersOnLine 48(3):460\u2013465. https:\/\/doi.org\/10.1016\/j.ifacol.2015.06.124","journal-title":"IFAC-PapersOnLine"},{"key":"2971_CR8","doi-asserted-by":"publisher","first-page":"102090","DOI":"10.1016\/j.omega.2019.07.006","volume":"95","author":"CK Chan","year":"2020","unstructured":"Chan CK, Man N, Fang F, Campbell J (2020) Supply chain coordination with reverse logistics: a vendor\/recycler-buyer synchronized cycles model. Omega 95:102090. https:\/\/doi.org\/10.1016\/j.omega.2019.07.006","journal-title":"Omega"},{"issue":"10","key":"2971_CR9","doi-asserted-by":"publisher","first-page":"81","DOI":"10.1016\/S0895-7177(00)00074-1","volume":"31","author":"GN Chattopadhyay","year":"2000","unstructured":"Chattopadhyay GN, Murthy DNP (2000) Warranty cost analysis for second-hand products. Math Comput Model 31(10):81\u201388. https:\/\/doi.org\/10.1016\/S0895-7177(00)00074-1","journal-title":"Math Comput Model"},{"key":"2971_CR10","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-04868-x","author":"VK Chouhan","year":"2020","unstructured":"Chouhan VK, Khan SH, Hajiaghaei-Keshteli M, Subramanian S (2020) Multi-facility-based improved closed-loop supply chain network for handling uncertain demands. Soft Comput. https:\/\/doi.org\/10.1007\/s00500-020-04868-x","journal-title":"Soft Comput"},{"key":"2971_CR11","doi-asserted-by":"crossref","unstructured":"Christy A, Fauzi B, Kurdi N, Jauhari W, Saputro D (2017) A closed-loop supply chain under retail price and quality dependent demand with remanufacturing and refurbishing. In: J Phys Conf Ser","DOI":"10.1088\/1742-6596\/855\/1\/012009"},{"key":"2971_CR12","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.jclepro.2018.07.216","volume":"201","author":"J Coenen","year":"2018","unstructured":"Coenen J, van der Heijden RECM, van Riel ACR (2018) Understanding approaches to complexity and uncertainty in closed-loop supply chain management: Past findings and future directions. J Clean Prod 201:1\u201313. https:\/\/doi.org\/10.1016\/j.jclepro.2018.07.216","journal-title":"J Clean Prod"},{"key":"2971_CR13","doi-asserted-by":"crossref","unstructured":"D\u2019Ambrosio C (2010). Application-oriented mixed integer non-linear programming. Springer, New York","DOI":"10.1007\/s10288-010-0118-8"},{"issue":"8","key":"2971_CR14","doi-asserted-by":"publisher","first-page":"1193","DOI":"10.1287\/mnsc.1050.0369","volume":"51","author":"LG Debo","year":"2005","unstructured":"Debo LG, Toktay LB, Van Wassenhove LN (2005) Market segmentation and product technology selection for remanufacturable products. Manag Sci 51(8):1193\u20131205. https:\/\/doi.org\/10.1287\/mnsc.1050.0369","journal-title":"Manag Sci"},{"issue":"2","key":"2971_CR15","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1109\/TEVC.2007.896686","volume":"12","author":"Y Del Valle","year":"2008","unstructured":"Del Valle Y, Venayagamoorthy GK, Mohagheghi S, Hernandez J-C, Harley RG (2008) Particle swarm optimization: basic concepts, variants and applications in power systems. IEEE Trans Evol Comput 12(2):171\u2013195. https:\/\/doi.org\/10.1109\/TEVC.2007.896686","journal-title":"IEEE Trans Evol Comput"},{"issue":"5","key":"2971_CR16","doi-asserted-by":"publisher","first-page":"982","DOI":"10.1016\/j.ress.2008.11.004","volume":"94","author":"Y Dijoux","year":"2009","unstructured":"Dijoux Y (2009) A virtual age model based on a bathtub shaped initial intensity. Reliab Eng Syst Saf 94(5):982\u2013989. https:\/\/doi.org\/10.1016\/j.ress.2008.11.004","journal-title":"Reliab Eng Syst Saf"},{"key":"2971_CR17","doi-asserted-by":"publisher","first-page":"331","DOI":"10.1016\/j.apm.2018.02.004","volume":"58","author":"Y Duan","year":"2018","unstructured":"Duan Y, Cao Y, Huo J (2018) Optimal pricing, production, and inventory for deteriorating items under demand uncertainty: the finite horizon case. Appl Math Model 58:331\u2013348. https:\/\/doi.org\/10.1016\/j.apm.2018.02.004","journal-title":"Appl Math Model"},{"key":"2971_CR18","doi-asserted-by":"publisher","unstructured":"Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: MHS'95. Proceedings of the Sixth International Symposium on Micro Machine and Human Science, pp 39\u201343: Ieee. https:\/\/doi.org\/10.1109\/MHS.1995.494215","DOI":"10.1109\/MHS.1995.494215"},{"issue":"1","key":"2971_CR19","doi-asserted-by":"publisher","first-page":"43","DOI":"10.1111\/j.1467-6419.1989.tb00057.x","volume":"3","author":"W Emons","year":"1989","unstructured":"Emons W (1989) The theory of warranty contracts. J Econ Surv 3(1):43\u201357. https:\/\/doi.org\/10.1111\/j.1467-6419.1989.tb00057.x","journal-title":"J Econ Surv"},{"issue":"3","key":"2971_CR20","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1111\/j.1937-5956.2006.tb00250.x","volume":"15","author":"ME Ferguson","year":"2006","unstructured":"Ferguson ME, Toktay LB (2006) The effect of competition on recovery strategies. Prod Oper Manag 15(3):351\u2013368. https:\/\/doi.org\/10.1111\/j.1937-5956.2006.tb00250.x","journal-title":"Prod Oper Manag"},{"issue":"1","key":"2971_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/S0377-2217(97)00230-0","volume":"103","author":"M Fleischmann","year":"1997","unstructured":"Fleischmann M, Bloemhof-Ruwaard JM, Dekker R, van der Laan E, van Nunen JAEE, Van Wassenhove LN (1997) Quantitative models for reverse logistics: a review. Eur J Oper Res 103(1):1\u201317. https:\/\/doi.org\/10.1016\/S0377-2217(97)00230-0","journal-title":"Eur J Oper Res"},{"key":"2971_CR22","doi-asserted-by":"publisher","first-page":"120","DOI":"10.1016\/j.ijpe.2016.08.016","volume":"190","author":"S-S Gan","year":"2017","unstructured":"Gan S-S, Pujawan IN, Suparno, & Widodo, B. (2017) Pricing decision for new and remanufactured product in a closed-loop supply chain with separate sales-channel. Int J Prod Econ 190:120\u2013132. https:\/\/doi.org\/10.1016\/j.ijpe.2016.08.016","journal-title":"Int J Prod Econ"},{"key":"2971_CR23","doi-asserted-by":"publisher","first-page":"2043","DOI":"10.1016\/j.jclepro.2015.01.066","volume":"112","author":"J Gao","year":"2016","unstructured":"Gao J, Han H, Hou L, Wang H (2016) Pricing and effort decisions in a closed-loop supply chain under different channel power structures. J Clean Prod 112:2043\u20132057. https:\/\/doi.org\/10.1016\/j.jclepro.2015.01.066","journal-title":"J Clean Prod"},{"key":"2971_CR24","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1016\/j.jclepro.2018.03.273","volume":"188","author":"M Ghomi-Avili","year":"2018","unstructured":"Ghomi-Avili M, Jalali Naeini SG, Tavakkoli-Moghaddam R, Jabbarzadeh A (2018) A fuzzy pricing model for a green competitive closed-loop supply chain network design in the presence of disruptions. J Clean Prod 188:425\u2013442. https:\/\/doi.org\/10.1016\/j.jclepro.2018.03.273","journal-title":"J Clean Prod"},{"key":"2971_CR25","doi-asserted-by":"publisher","first-page":"92","DOI":"10.1016\/j.jmsy.2014.11.014","volume":"35","author":"B Giri","year":"2015","unstructured":"Giri B, Sharma S (2015) Optimizing a closed-loop supply chain with manufacturing defects and quality dependent return rate. J Manuf Syst 35:92\u2013111","journal-title":"J Manuf Syst"},{"key":"2971_CR26","doi-asserted-by":"publisher","first-page":"822","DOI":"10.1016\/j.jclepro.2018.04.092","volume":"190","author":"BC Giri","year":"2018","unstructured":"Giri BC, Mondal C, Maiti T (2018) Analysing a closed-loop supply chain with selling price, warranty period and green sensitive consumer demand under revenue sharing contract. J Clean Prod 190:822\u2013837. https:\/\/doi.org\/10.1016\/j.jclepro.2018.04.092","journal-title":"J Clean Prod"},{"issue":"12","key":"2971_CR27","doi-asserted-by":"publisher","first-page":"1381","DOI":"10.1287\/mnsc.22.12.1381","volume":"22","author":"TS Glickman","year":"1976","unstructured":"Glickman TS, Berger PD (1976) Optimal price and protection period decisions for a product under warranty. Manag Sci 22(12):1381\u20131390","journal-title":"Manag Sci"},{"issue":"6","key":"2971_CR28","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1007\/s00607-018-00692-2","volume":"101","author":"A Goli","year":"2019","unstructured":"Goli A, Tirkolaee EB, Malmir B, Bian G-B, Sangaiah AK (2019) A multi-objective invasive weed optimization algorithm for robust aggregate production planning under uncertain seasonal demand. Computing 101(6):499\u2013529. https:\/\/doi.org\/10.1007\/s00607-018-00692-2","journal-title":"Computing"},{"issue":"3","key":"2971_CR29","doi-asserted-by":"publisher","first-page":"603","DOI":"10.1016\/j.ejor.2014.07.012","volume":"240","author":"K Govindan","year":"2015","unstructured":"Govindan K, Soleimani H, Kannan D (2015) Reverse logistics and closed-loop supply chain: a comprehensive review to explore the future. Eur J Oper Res 240(3):603\u2013626. https:\/\/doi.org\/10.1016\/j.ejor.2014.07.012","journal-title":"Eur J Oper Res"},{"issue":"6","key":"2971_CR30","doi-asserted-by":"publisher","first-page":"531","DOI":"10.1016\/j.gloei.2020.01.007","volume":"2","author":"S Gu","year":"2019","unstructured":"Gu S, Han L, Liu D, Yu W, Xiao Z, Feng T (2019) Design and applicability analysis of independent double acquisition circuit of all-fiber optical current transformer. Global Energy Interconnection 2(6):531\u2013540. https:\/\/doi.org\/10.1016\/j.gloei.2020.01.007","journal-title":"Global Energy Interconnection"},{"issue":"4","key":"2971_CR31","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1016\/S0272-6963(00)00034-6","volume":"18","author":"VDR Guide","year":"2000","unstructured":"Guide VDR (2000) Production planning and control for remanufacturing: industry practice and research needs. J Oper Manag 18(4):467\u2013483. https:\/\/doi.org\/10.1016\/S0272-6963(00)00034-6","journal-title":"J Oper Manag"},{"issue":"1","key":"2971_CR32","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1287\/opre.1080.0628","volume":"57","author":"VDR Guide Jr","year":"2009","unstructured":"Guide VDR Jr, Van Wassenhove LN (2009) OR FORUM\u2014the evolution of closed-loop supply chain research. Oper Res 57(1):10\u201318","journal-title":"Oper Res"},{"key":"2971_CR33","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1016\/j.cie.2014.11.020","volume":"89","author":"J Guo","year":"2015","unstructured":"Guo J, Ya G (2015) Optimal strategies for manufacturing\/remanufacturing system with the consideration of recycled products. Comput Ind Eng 89:226\u2013234. https:\/\/doi.org\/10.1016\/j.cie.2014.11.020","journal-title":"Comput Ind Eng"},{"key":"2971_CR34","doi-asserted-by":"publisher","first-page":"351","DOI":"10.1016\/j.cie.2017.02.002","volume":"106","author":"J Guo","year":"2017","unstructured":"Guo J, Wang X, Fan S, Gen M (2017) Forward and reverse logistics network and route planning under the environment of low-carbon emissions: a case study of Shanghai fresh food E-commerce enterprises. Comput Ind Eng 106:351\u2013360. https:\/\/doi.org\/10.1016\/j.cie.2017.02.002","journal-title":"Comput Ind Eng"},{"key":"2971_CR35","doi-asserted-by":"publisher","first-page":"886","DOI":"10.1016\/j.cie.2018.10.029","volume":"128","author":"J Guo","year":"2019","unstructured":"Guo J, He L, Gen M (2019) Optimal strategies for the closed-loop supply chain with the consideration of supply disruption and subsidy policy. Comput Ind Eng 128:886\u2013893. https:\/\/doi.org\/10.1016\/j.cie.2018.10.029","journal-title":"Comput Ind Eng"},{"key":"2971_CR36","doi-asserted-by":"publisher","first-page":"106779","DOI":"10.1016\/j.cie.2020.106779","volume":"149","author":"J Guo","year":"2020","unstructured":"Guo J, Yu H, Gen M (2020) Research on green closed-loop supply chain with the consideration of double subsidy in e-commerce environment. Comput Ind Eng 149:106779. https:\/\/doi.org\/10.1016\/j.cie.2020.106779","journal-title":"Comput Ind Eng"},{"key":"2971_CR37","doi-asserted-by":"publisher","DOI":"10.1007\/s10845-020-01616-8","author":"S Harifi","year":"2020","unstructured":"Harifi S, Khalilian M, Mohammadzadeh J, Ebrahimnejad S (2020) Optimization in solving inventory control problem using nature inspired Emperor Penguins Colony algorithm. J Intell Manuf. https:\/\/doi.org\/10.1007\/s10845-020-01616-8","journal-title":"J Intell Manuf"},{"issue":"11","key":"2971_CR38","doi-asserted-by":"publisher","first-page":"5249","DOI":"10.1016\/j.apm.2011.11.066","volume":"36","author":"P Hasanov","year":"2012","unstructured":"Hasanov P, Jaber MY, Zolfaghari S (2012) Production, remanufacturing and waste disposal models for the cases of pure and partial backordering. Appl Math Model 36(11):5249\u20135261. https:\/\/doi.org\/10.1016\/j.apm.2011.11.066","journal-title":"Appl Math Model"},{"key":"2971_CR39","doi-asserted-by":"publisher","first-page":"293","DOI":"10.1016\/j.cie.2019.07.031","volume":"136","author":"A Hassanpour","year":"2019","unstructured":"Hassanpour A, Bagherinejad J, Bashiri M (2019) A robust leader-follower approach for closed loop supply chain network design considering returns quality levels. Comput Ind Eng 136:293\u2013304. https:\/\/doi.org\/10.1016\/j.cie.2019.07.031","journal-title":"Comput Ind Eng"},{"key":"2971_CR40","first-page":"37","volume":"7","author":"Q-C He","year":"2013","unstructured":"He Q-C, Hu L-G, Qian H-B (2013) Low-carbon sales logistics network planning method based on multi-objective planning. Syst Eng 7:37\u201343","journal-title":"Syst Eng"},{"key":"2971_CR41","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-020-02555-1","author":"M Hemmati","year":"2020","unstructured":"Hemmati M, Pasandideh SHR (2020) A bi-objective supplier location, supplier selection and order allocation problem with green constraints: scenario-based approach. J Ambient Intell Humaniz Comput. https:\/\/doi.org\/10.1007\/s12652-020-02555-1","journal-title":"J Ambient Intell Humaniz Comput"},{"key":"2971_CR42","unstructured":"Ijomah WL, Childe S, McMahon C (2004). Remanufacturing: a key strategy for sustainable development"},{"key":"2971_CR43","doi-asserted-by":"publisher","first-page":"48","DOI":"10.1016\/j.resconrec.2018.05.026","volume":"137","author":"MT Islam","year":"2018","unstructured":"Islam MT, Huda N (2018) Reverse logistics and closed-loop supply chain of Waste Electrical and Electronic Equipment (WEEE)\/E-waste: a comprehensive literature review. Resour Conserv Recycl 137:48\u201375. https:\/\/doi.org\/10.1016\/j.resconrec.2018.05.026","journal-title":"Resour Conserv Recycl"},{"issue":"1","key":"2971_CR44","doi-asserted-by":"publisher","first-page":"115","DOI":"10.1016\/j.ijpe.2008.07.016","volume":"120","author":"MY Jaber","year":"2009","unstructured":"Jaber MY, El Saadany AMA (2009) The production, remanufacture and waste disposal model with lost sales. Int J Prod Econ 120(1):115\u2013124. https:\/\/doi.org\/10.1016\/j.ijpe.2008.07.016","journal-title":"Int J Prod Econ"},{"issue":"6","key":"2971_CR45","doi-asserted-by":"publisher","first-page":"2327","DOI":"10.1007\/s10845-018-1393-z","volume":"30","author":"H Jahangir","year":"2019","unstructured":"Jahangir H, Mohammadi M, Pasandideh SHR, Nobari NZ (2019) Comparing performance of genetic and discrete invasive weed optimization algorithms for solving the inventory routing problem with an incremental delivery. J Intell Manuf 30(6):2327\u20132353. https:\/\/doi.org\/10.1007\/s10845-018-1393-z","journal-title":"J Intell Manuf"},{"issue":"4","key":"2971_CR46","first-page":"333","volume":"3","author":"K Jebari","year":"2013","unstructured":"Jebari K, Madiafi M (2013) Selection methods for genetic algorithms. Int J Emerg Sci 3(4):333\u2013344","journal-title":"Int J Emerg Sci"},{"key":"2971_CR47","doi-asserted-by":"publisher","first-page":"465","DOI":"10.1016\/j.asoc.2019.03.002","volume":"78","author":"AR Jordehi","year":"2019","unstructured":"Jordehi AR (2019) Binary particle swarm optimisation with quadratic transfer function: a new binary optimisation algorithm for optimal scheduling of appliances in smart homes. Appl Soft Comput 78:465\u2013480. https:\/\/doi.org\/10.1016\/j.asoc.2019.03.002","journal-title":"Appl Soft Comput"},{"key":"2971_CR48","doi-asserted-by":"crossref","unstructured":"R Jr VD, Van Wassenhove LN (2009) The Evolution of Closed-Loop Supply Chain Research. Oper Res (1):10\u201319","DOI":"10.1287\/opre.1080.0628"},{"issue":"2","key":"2971_CR49","doi-asserted-by":"publisher","first-page":"689","DOI":"10.1016\/j.ejor.2004.06.041","volume":"174","author":"H Jung","year":"2006","unstructured":"Jung H, Klein CM (2006) Optimal inventory policies for profit maximizing EOQ models under various cost functions. Eur J Oper Res 174(2):689\u2013705. https:\/\/doi.org\/10.1016\/j.ejor.2004.06.041","journal-title":"Eur J Oper Res"},{"key":"2971_CR50","doi-asserted-by":"publisher","unstructured":"Kennedy J, Eberhart RCA (1997) discrete binary version of the particle swarm algorithm. In: 1997 IEEE International conference on systems, man, and cybernetics. Computational cybernetics and simulation, 1997 (Vol. 5, pp 4104\u20134108): IEEE. https:\/\/doi.org\/10.1109\/ICSMC.1997.637339","DOI":"10.1109\/ICSMC.1997.637339"},{"issue":"2","key":"2971_CR51","doi-asserted-by":"publisher","first-page":"194","DOI":"10.1016\/0377-2217(88)90329-3","volume":"37","author":"M Kijima","year":"1988","unstructured":"Kijima M, Morimura H, Suzuki Y (1988) Periodical replacement problem without assuming minimal repair. Eur J Oper Res 37(2):194\u2013203. https:\/\/doi.org\/10.1016\/0377-2217(88)90329-3","journal-title":"Eur J Oper Res"},{"issue":"2","key":"2971_CR52","doi-asserted-by":"publisher","first-page":"337","DOI":"10.1016\/j.ejor.2013.05.052","volume":"231","author":"E Kim","year":"2013","unstructured":"Kim E, Saghafian S, Van Oyen MP (2013) Joint control of production, remanufacturing, and disposal activities in a hybrid manufacturing\u2013remanufacturing system. Eur J Oper Res 231(2):337\u2013348. https:\/\/doi.org\/10.1016\/j.ejor.2013.05.052","journal-title":"Eur J Oper Res"},{"issue":"6","key":"2971_CR53","doi-asserted-by":"publisher","first-page":"1203","DOI":"10.1111\/j.1540-5915.1993.tb00511.x","volume":"24","author":"WJ Lee","year":"1993","unstructured":"Lee WJ, Kim D (1993) Optimal and heuristic decision strategies for integrated production and marketing planning. Decis Sci 24(6):1203\u20131214. https:\/\/doi.org\/10.1111\/j.1540-5915.1993.tb00511.x","journal-title":"Decis Sci"},{"key":"2971_CR54","doi-asserted-by":"publisher","first-page":"199","DOI":"10.1016\/j.jmsy.2020.02.001","volume":"55","author":"Y Liao","year":"2020","unstructured":"Liao Y, Kaviyani-Charati M, Hajiaghaei-Keshteli M, Diabat A (2020) Designing a closed-loop supply chain network for citrus fruits crates considering environmental and economic issues. J Manuf Syst 55:199\u2013220. https:\/\/doi.org\/10.1016\/j.jmsy.2020.02.001","journal-title":"J Manuf Syst"},{"key":"2971_CR55","doi-asserted-by":"publisher","first-page":"889","DOI":"10.1016\/j.asoc.2017.10.027","volume":"68","author":"H Ma","year":"2018","unstructured":"Ma H, Li X (2018) Closed-loop supply chain network design for hazardous products with uncertain demands and returns. Appl Soft Comput 68:889\u2013899. https:\/\/doi.org\/10.1016\/j.asoc.2017.10.027","journal-title":"Appl Soft Comput"},{"key":"2971_CR56","doi-asserted-by":"publisher","first-page":"624","DOI":"10.1016\/j.jmsy.2014.09.009","volume":"37","author":"T Maiti","year":"2015","unstructured":"Maiti T, Giri BC (2015) A closed loop supply chain under retail price and product quality dependent demand. J Manuf Syst 37:624\u2013637. https:\/\/doi.org\/10.1016\/j.jmsy.2014.09.009","journal-title":"J Manuf Syst"},{"key":"2971_CR57","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1016\/j.jclepro.2017.03.067","volume":"151","author":"E Masoudipour","year":"2017","unstructured":"Masoudipour E, Amirian H, Sahraeian R (2017) A novel closed-loop supply chain based on the quality of returned products. J Clean Prod 151:344\u2013355. https:\/\/doi.org\/10.1016\/j.jclepro.2017.03.067","journal-title":"J Clean Prod"},{"issue":"4","key":"2971_CR58","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1016\/j.ecoinf.2006.07.003","volume":"1","author":"AR Mehrabian","year":"2006","unstructured":"Mehrabian AR, Lucas C (2006) A novel numerical optimization algorithm inspired from weed colonization. Ecol Inform 1(4):355\u2013366. https:\/\/doi.org\/10.1016\/j.ecoinf.2006.07.003","journal-title":"Ecol Inform"},{"issue":"2","key":"2971_CR59","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1016\/j.ejor.2008.05.007","volume":"196","author":"MT Melo","year":"2009","unstructured":"Melo MT, Nickel S, Saldanha-da-Gama F (2009) Facility location and supply chain management\u2014a review. Eur J Oper Res 196(2):401\u2013412. https:\/\/doi.org\/10.1016\/j.ejor.2008.05.007","journal-title":"Eur J Oper Res"},{"key":"2971_CR60","doi-asserted-by":"publisher","first-page":"118452","DOI":"10.1016\/j.jclepro.2019.118452","volume":"242","author":"Z Mohtashami","year":"2020","unstructured":"Mohtashami Z, Aghsami A, Jolai F (2020) A green closed loop supply chain design using queuing system for reducing environmental impact and energy consumption. J Clean Prod 242:118452. https:\/\/doi.org\/10.1016\/j.jclepro.2019.118452","journal-title":"J Clean Prod"},{"issue":"1","key":"2971_CR61","doi-asserted-by":"publisher","first-page":"47","DOI":"10.1007\/s00366-018-0582-x","volume":"35","author":"SFF Mojtahedi","year":"2019","unstructured":"Mojtahedi SFF, Ebtehaj I, Hasanipanah M, Bonakdari H, Amnieh HB (2019) Proposing a novel hybrid intelligent model for the simulation of particle size distribution resulting from blasting. Eng Comput 35(1):47\u201356. https:\/\/doi.org\/10.1007\/s00366-018-0582-x","journal-title":"Eng Comput"},{"issue":"9\u201312","key":"2971_CR62","doi-asserted-by":"publisher","first-page":"1187","DOI":"10.1007\/s00170-010-2994-7","volume":"54","author":"SGJ Naini","year":"2011","unstructured":"Naini SGJ, Shafiee M (2011) Joint determination of price and upgrade level for a warranted second-hand product. Int J Adv Manuf Technol 54(9\u201312):1187\u20131198. https:\/\/doi.org\/10.1007\/s00170-010-2994-7","journal-title":"Int J Adv Manuf Technol"},{"key":"2971_CR63","doi-asserted-by":"publisher","first-page":"158","DOI":"10.1016\/j.knosys.2017.11.004","volume":"140","author":"AH Niknamfar","year":"2018","unstructured":"Niknamfar AH, Niaki STA (2018) A binary-continuous invasive weed optimization algorithm for a vendor selection problem. Knowl-Based Syst 140:158\u2013172. https:\/\/doi.org\/10.1016\/j.knosys.2017.11.004","journal-title":"Knowl-Based Syst"},{"key":"2971_CR64","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1016\/j.ress.2013.02.002","volume":"115","author":"PA P\u00e9rez Ram\u00edrez","year":"2013","unstructured":"P\u00e9rez Ram\u00edrez PA, Utne IB (2013) Decision support for life extension of technical systems through virtual age modelling. Reliab Eng Syst Saf 115:55\u201369. https:\/\/doi.org\/10.1016\/j.ress.2013.02.002","journal-title":"Reliab Eng Syst Saf"},{"key":"2971_CR65","doi-asserted-by":"publisher","first-page":"322","DOI":"10.1016\/j.ijpe.2016.06.026","volume":"183","author":"V Polotski","year":"2017","unstructured":"Polotski V, Kenne J-P, Gharbi A (2017) Production and setup policy optimization for hybrid manufacturing\u2013remanufacturing systems. Int J Prod Econ 183:322\u2013333. https:\/\/doi.org\/10.1016\/j.ijpe.2016.06.026","journal-title":"Int J Prod Econ"},{"key":"2971_CR66","doi-asserted-by":"publisher","first-page":"120437","DOI":"10.1016\/j.jclepro.2020.120437","volume":"256","author":"D Rahmani","year":"2020","unstructured":"Rahmani D, Hasan Abadi MQ, Hosseininezhad SJ (2020) Joint decision on product greenness strategies and pricing in a dual-channel supply chain: a robust possibilistic approach. J Clean Prod 256:120437. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120437","journal-title":"J Clean Prod"},{"issue":"7","key":"2971_CR67","doi-asserted-by":"publisher","first-page":"2005","DOI":"10.1007\/s00521-019-04340-4","volume":"32","author":"Y Ren","year":"2020","unstructured":"Ren Y, Wang C, Li B, Yu C, Zhang S (2020) A genetic algorithm for fuzzy random and low-carbon integrated forward\/reverse logistics network design. Neural Comput Appl 32(7):2005\u20132025. https:\/\/doi.org\/10.1007\/s00521-019-04340-4","journal-title":"Neural Comput Appl"},{"issue":"3","key":"2971_CR68","doi-asserted-by":"publisher","first-page":"641","DOI":"10.1016\/j.cor.2010.08.008","volume":"38","author":"J Shi","year":"2011","unstructured":"Shi J, Zhang G, Sha J (2011) Optimal production planning for a multi-product closed loop system with uncertain demand and return. Comput Oper Res 38(3):641\u2013650. https:\/\/doi.org\/10.1016\/j.cor.2010.08.008","journal-title":"Comput Oper Res"},{"key":"2971_CR69","doi-asserted-by":"publisher","DOI":"10.1016\/j.addma.2020.101643","author":"D Son","year":"2020","unstructured":"Son D, Kim S, Jeong B (2020) Sustainable part consolidation model for customized products in closed-loop supply chain with additive manufacturing hub. Addit Manuf. https:\/\/doi.org\/10.1016\/j.addma.2020.101643","journal-title":"Addit Manuf"},{"key":"2971_CR70","doi-asserted-by":"publisher","first-page":"298","DOI":"10.1016\/j.ijpe.2018.04.010","volume":"217","author":"AA Taleizadeh","year":"2019","unstructured":"Taleizadeh AA, Moshtagh MS (2019) A consignment stock scheme for closed loop supply chain with imperfect manufacturing processes, lost sales, and quality dependent return: multi Levels Structure. Int J Prod Econ 217:298\u2013316. https:\/\/doi.org\/10.1016\/j.ijpe.2018.04.010","journal-title":"Int J Prod Econ"},{"key":"2971_CR71","doi-asserted-by":"publisher","first-page":"163","DOI":"10.1016\/j.jclepro.2018.09.198","volume":"207","author":"AA Taleizadeh","year":"2019","unstructured":"Taleizadeh AA, Haghighi F, Niaki STA (2019) Modeling and solving a sustainable closed loop supply chain problem with pricing decisions and discounts on returned products. J Clean Prod 207:163\u2013181. https:\/\/doi.org\/10.1016\/j.jclepro.2018.09.198","journal-title":"J Clean Prod"},{"issue":"6","key":"2971_CR72","doi-asserted-by":"publisher","first-page":"1688","DOI":"10.1080\/00207543.2019.1683246","volume":"58","author":"J Tang","year":"2020","unstructured":"Tang J, Li B-Y, Li KW, Liu Z, Huang J (2020) Pricing and warranty decisions in a two-period closed-loop supply chain. Int J Prod Res 58(6):1688\u20131704. https:\/\/doi.org\/10.1080\/00207543.2019.1683246","journal-title":"Int J Prod Res"},{"issue":"1","key":"2971_CR73","doi-asserted-by":"publisher","first-page":"224","DOI":"10.1016\/S0377-2217(97)00024-6","volume":"105","author":"P Tian","year":"1998","unstructured":"Tian P, Ma J, Zhang D-M (1998) Non-linear integer programming by Darwin and Boltzmann mixed strategy. Eur J Oper Res 105(1):224\u2013235. https:\/\/doi.org\/10.1016\/S0377-2217(97)00024-6","journal-title":"Eur J Oper Res"},{"issue":"04","key":"2971_CR74","doi-asserted-by":"publisher","first-page":"677","DOI":"10.1142\/S0219686719500355","volume":"18","author":"EB Tirkolaee","year":"2019","unstructured":"Tirkolaee EB, Mahmoodkhani J, Bourani MR, Tavakkoli-Moghaddam R (2019) A self-learning particle swarm optimization for robust multi-echelon capacitated location\u2013allocation\u2013inventory problem. J Adv Manuf Syst 18(04):677\u2013694. https:\/\/doi.org\/10.1142\/S0219686719500355","journal-title":"J Adv Manuf Syst"},{"key":"2971_CR75","doi-asserted-by":"publisher","unstructured":"Veenhuis C (2010) Binary invasive weed optimization. In 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC), 2010 (pp. 449\u2013454): IEEE. https:\/\/doi.org\/10.1109\/NABIC.2010.5716311","DOI":"10.1109\/NABIC.2010.5716311"},{"issue":"3","key":"2971_CR76","doi-asserted-by":"publisher","first-page":"411","DOI":"10.1016\/j.cie.2010.05.002","volume":"60","author":"J Wang","year":"2011","unstructured":"Wang J, Zhao J, Wang X (2011) Optimum policy in hybrid manufacturing\/remanufacturing system. Comput Ind Eng 60(3):411\u2013419. https:\/\/doi.org\/10.1016\/j.cie.2010.05.002","journal-title":"Comput Ind Eng"},{"key":"2971_CR77","doi-asserted-by":"publisher","first-page":"119101","DOI":"10.1016\/j.jclepro.2019.119101","volume":"247","author":"J Wang","year":"2020","unstructured":"Wang J, Jiang H, Yu M (2020) Pricing decisions in a dual-channel green supply chain with product customization. J Clean Prod 247:119101. https:\/\/doi.org\/10.1016\/j.jclepro.2019.119101","journal-title":"J Clean Prod"},{"key":"2971_CR78","doi-asserted-by":"publisher","first-page":"120776","DOI":"10.1016\/j.jclepro.2020.120776","volume":"259","author":"W Wu","year":"2020","unstructured":"Wu W, Zhang Q, Liang Z (2020) Environmentally responsible closed-loop supply chain models for joint environmental responsibility investment, recycling and pricing decisions. J Clean Prod 259:120776. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120776","journal-title":"J Clean Prod"},{"key":"2971_CR79","doi-asserted-by":"publisher","first-page":"297","DOI":"10.1016\/j.resconrec.2017.10.012","volume":"131","author":"L Xu","year":"2018","unstructured":"Xu L, Wang C (2018) Sustainable manufacturing in a closed-loop supply chain considering emission reduction and remanufacturing. Resour Conserv Recycl 131:297\u2013304. https:\/\/doi.org\/10.1016\/j.resconrec.2017.10.012","journal-title":"Resour Conserv Recycl"},{"key":"2971_CR80","doi-asserted-by":"publisher","first-page":"782","DOI":"10.1016\/j.jclepro.2018.10.240","volume":"209","author":"F Xu","year":"2019","unstructured":"Xu F, Li Y, Feng L (2019) The influence of big data system for used product management on manufacturing\u2013remanufacturing operations. J Clean Prod 209:782\u2013794. https:\/\/doi.org\/10.1016\/j.jclepro.2018.10.240","journal-title":"J Clean Prod"},{"key":"2971_CR81","doi-asserted-by":"publisher","first-page":"74471","DOI":"10.1109\/ACCESS.2019.2920916","volume":"7","author":"ZM Yaseen","year":"2019","unstructured":"Yaseen ZM, Mohtar WHMW, Ameen AMS, Ebtehaj I, Razali SFM, Bonakdari H et al (2019) Implementation of univariate paradigm for streamflow simulation using hybrid data-driven model: case study in tropical region. IEEE Access 7:74471\u201374481. https:\/\/doi.org\/10.1109\/ACCESS.2019.2920916","journal-title":"IEEE Access"},{"issue":"5","key":"2971_CR82","doi-asserted-by":"publisher","first-page":"1155","DOI":"10.1080\/00207721.2014.915355","volume":"47","author":"SA Yazdian","year":"2016","unstructured":"Yazdian SA, Shahanaghi K, Makui A (2016) Joint optimisation of price, warranty and recovery planning in remanufacturing of used products under linear and non-linear demand, return and cost functions. Int J Syst Sci 47(5):1155\u20131175. https:\/\/doi.org\/10.1080\/00207721.2014.915355","journal-title":"Int J Syst Sci"},{"key":"2971_CR83","doi-asserted-by":"publisher","first-page":"258","DOI":"10.1016\/j.asoc.2017.06.008","volume":"59","author":"W-J Yu","year":"2017","unstructured":"Yu W-J, Li J-Z, Chen W-N, Zhang J (2017) A parallel double-level multiobjective evolutionary algorithm for robust optimization. Applied Soft Computing 59:258\u2013275. https:\/\/doi.org\/10.1016\/j.asoc.2017.06.008","journal-title":"Applied Soft Computing"},{"key":"2971_CR84","doi-asserted-by":"publisher","first-page":"1327","DOI":"10.1016\/j.jclepro.2019.01.067","volume":"215","author":"F Zand","year":"2019","unstructured":"Zand F, Yaghoubi S, Sadjadi SJ (2019) Impacts of government direct limitation on pricing, greening activities and recycling management in an online to offline closed loop supply chain. J Clean Prod 215:1327\u20131340. https:\/\/doi.org\/10.1016\/j.jclepro.2019.01.067","journal-title":"J Clean Prod"}],"container-title":["Journal of Ambient Intelligence and Humanized Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12652-021-02971-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s12652-021-02971-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s12652-021-02971-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,3,25]],"date-time":"2022-03-25T08:03:33Z","timestamp":1648195413000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s12652-021-02971-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,3,9]]},"references-count":84,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2022,4]]}},"alternative-id":["2971"],"URL":"https:\/\/doi.org\/10.1007\/s12652-021-02971-x","relation":{},"ISSN":["1868-5137","1868-5145"],"issn-type":[{"value":"1868-5137","type":"print"},{"value":"1868-5145","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,3,9]]},"assertion":[{"value":"25 April 2020","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 February 2021","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"9 March 2021","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}