{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T23:41:10Z","timestamp":1772494870875,"version":"3.50.1"},"reference-count":58,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T00:00:00Z","timestamp":1603065600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2572018BL03"],"award-info":[{"award-number":["2572018BL03"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["4OR-Q J Oper Res"],"published-print":{"date-parts":[[2021,12]]},"DOI":"10.1007\/s10288-020-00458-7","type":"journal-article","created":{"date-parts":[[2020,10,19]],"date-time":"2020-10-19T15:05:41Z","timestamp":1603119941000},"page":"501-530","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Pricing and strategy selection in a closed-loop supply chain under demand and return rate uncertainty"],"prefix":"10.1007","volume":"19","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5640-0693","authenticated-orcid":false,"given":"Jingfeng","family":"Dong","sequence":"first","affiliation":[]},{"given":"Shufa","family":"Sun","sequence":"additional","affiliation":[]},{"given":"Guichen","family":"Gao","sequence":"additional","affiliation":[]},{"given":"Ruoyi","family":"Yang","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2020,10,19]]},"reference":[{"issue":"01","key":"458_CR1","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1287\/mnsc.2014.2099","volume":"61","author":"VV Agrawal","year":"2015","unstructured":"Agrawal VV, Atalay A, van Ittersum K (2015) Remanufacturing, third-party competition, and consumers\u2019 perceived value of new products. Manage Sci 61(01):60\u201372","journal-title":"Manage Sci"},{"key":"458_CR2","doi-asserted-by":"crossref","first-page":"298","DOI":"10.1016\/j.spc.2018.11.010","volume":"17","author":"Z Asim","year":"2019","unstructured":"Asim Z, Jalil SA, Javaid S (2019) An uncertain model for integrated production transportation closed-loop supply chain network with cost reliability. Sustain Prod Consumpt 17:298\u2013310","journal-title":"Sustain Prod Consumpt"},{"issue":"10","key":"458_CR3","first-page":"1731","volume":"54","author":"A Atalay","year":"2008","unstructured":"Atalay A, Miklos S, Van Wassenhove LN (2008) Remanufacturing as a marketing strategy. Manage Sci 54(10):1731\u20131746","journal-title":"Manage Sci"},{"issue":"01","key":"458_CR4","first-page":"88","volume":"25","author":"J Chen","year":"2017","unstructured":"Chen J, Tian DG (2017) Selection of the recycling mode based on closed-loop supply chain model. Chin J Manag Sci 25(01):88\u201397","journal-title":"Chin J Manag Sci"},{"key":"458_CR5","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.ijpe.2019.01.006","volume":"210","author":"CK Chen","year":"2019","unstructured":"Chen CK, Ulya MA (2019) Analyses of the reward-penalty mechanism in green closed-loop supply chains with product remanufacturing. Int J Prod Econ 210:211\u2013223","journal-title":"Int J Prod Econ"},{"issue":"02","key":"458_CR6","first-page":"68","volume":"25","author":"YK Chen","year":"2017","unstructured":"Chen YK, Xiong L, Dong JR (2017) Closed-loop supply chain coordination mechanism based on mean-CVaR. Chin J Manag Sci 25(02):68\u201377","journal-title":"Chin J Manag Sci"},{"issue":"06","key":"458_CR7","first-page":"137","volume":"36","author":"QW Deng","year":"2017","unstructured":"Deng QW, Guo SM, Ren QH et al (2017) Research of policy on competitive closed-loop supply chain based on quality uncertainty. J Ind Technol Econ 36(06):137\u2013145","journal-title":"J Ind Technol Econ"},{"issue":"3","key":"458_CR8","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1287\/inte.30.3.143.11670","volume":"30","author":"S Dowlatshahi","year":"2000","unstructured":"Dowlatshahi S (2000) Developing a theory of reverse logistics. Interfaces 30(3):143\u2013155","journal-title":"Interfaces"},{"key":"458_CR9","doi-asserted-by":"crossref","first-page":"120","DOI":"10.1016\/j.ijpe.2016.08.016","volume":"190","author":"SS Gan","year":"2017","unstructured":"Gan SS, Pujawan IN, Suparno et al (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","journal-title":"Int J Prod Econ"},{"issue":"03","key":"458_CR10","doi-asserted-by":"crossref","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 et al (2016) Pricing and effort decisions in a closed-loop supply chain under different channel power structures. J Clean Prod 112(03):2043\u20132057","journal-title":"J Clean Prod"},{"issue":"01","key":"458_CR11","first-page":"78","volume":"32","author":"JH Gao","year":"2017","unstructured":"Gao JH, Teng JH, Hou LT et al (2017) Pricing strategy of closed-loop supply chain considering competition under uncertain demand. J Syst Eng 32(01):78\u201388","journal-title":"J Syst Eng"},{"key":"458_CR12","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1016\/j.omega.2015.11.008","volume":"66","author":"J Gaur","year":"2017","unstructured":"Gaur J, Amini M, Rao AK (2017) Closed-loop supply chain configuration for new and reconditioned products: an integrated optimization model. Omega 66:212\u2013223","journal-title":"Omega"},{"key":"458_CR13","doi-asserted-by":"crossref","first-page":"475","DOI":"10.1007\/s00170-009-2362-7","volume":"47","author":"P Georgiadis","year":"2010","unstructured":"Georgiadis P, Besiou M (2010) Environmental and economical sustainability of WEEE closed-loop supply chains with recycling: a system dynamics analysis. Int J Adv Manuf Technol 47:475\u2013493","journal-title":"Int J Adv Manuf Technol"},{"key":"458_CR14","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1287\/opre.1080.0628","volume":"57","author":"VDR Guide","year":"2009","unstructured":"Guide VDR, Van Wassenhove LN (2009) OR FORUM-the evolution of closed-loop supply chain research. Oper Res 57:10\u201318","journal-title":"Oper Res"},{"key":"458_CR15","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/s11067-016-9333-y","volume":"17","author":"Y H amdouch","year":"2017","unstructured":"Hamdouch Y, Qiang QP, Ghoudi K (2017) A Closed-Loop Supply Chain Equilibrium Model with Random and Price-Sensitive Demand and Return. Netw Spat Econ 17:459\u2013503","journal-title":"Netw Spat Econ"},{"key":"458_CR16","first-page":"84","volume":"3","author":"V Hari","year":"2012","unstructured":"Hari V, Vilas K, Ravi T (2012) Remanufacturing for sustainable development: key challenges, elements, and benefits. Int J Innov Manag Technol 3:84\u201389","journal-title":"Int J Innov Manag Technol"},{"key":"458_CR17","first-page":"8","volume":"163","author":"Y He","year":"2015","unstructured":"He Y (2015) Acquisition pricing and remanufacturing decisions in a closed-loop supply chain. Int J Prod Econ 163:8\u201360","journal-title":"Int J Prod Econ"},{"key":"458_CR18","doi-asserted-by":"crossref","first-page":"12","DOI":"10.1016\/j.ijpe.2015.05.001","volume":"167","author":"X Hong","year":"2015","unstructured":"Hong X, Xu L, Du P et al (2015) Joint advertising, pricing and collection decisions in a closed-loop supply chain. Int J Prod Econ 167:12\u201322","journal-title":"Int J Prod Econ"},{"issue":"3","key":"458_CR19","doi-asserted-by":"crossref","first-page":"820","DOI":"10.1016\/j.ejor.2016.06.051","volume":"256","author":"X Hong","year":"2017","unstructured":"Hong X, Govindan K, Xu L et al (2017) Quantity and collection decisions in a closed-loop supply chain with technology licensing. Eur J Oper Res 256(3):820\u2013829","journal-title":"Eur J Oper Res"},{"issue":"04","key":"458_CR20","doi-asserted-by":"crossref","first-page":"3917","DOI":"10.1016\/j.jclepro.2016.10.065","volume":"142","author":"Y Huang","year":"2017","unstructured":"Huang Y, Wang Z (2017) Closed-loop supply chain models with product take-back and hybrid remanufacturing under technology licensing. J Clean Prod 142(04):3917\u20133927","journal-title":"J Clean Prod"},{"issue":"01","key":"458_CR21","first-page":"31","volume":"34","author":"LA Huo","year":"2017","unstructured":"Huo LA, Jiang JH, Zhao YP et al (2017) Risk averse closed-loop supply chain coordination mechanism with rebate and penalty contracts under emergency events. Appl Res Comput 34(01):31\u201335","journal-title":"Appl Res Comput"},{"issue":"8","key":"458_CR22","first-page":"2098","volume":"24","author":"Y Jing","year":"2018","unstructured":"Jing Y, Li WC, Zhou Y (2018) Recycling-production-distribution collaborative planning for closed-loop supply chain under uncertain environment. Computer Integrated Manuf Syst 24(8):2098\u20132110","journal-title":"Computer Integrated Manuf Syst"},{"issue":"08","key":"458_CR23","first-page":"1355","volume":"30","author":"GJ Ji","year":"2010","unstructured":"Ji GJ, Huang WW (2010) Remanufacturing supply chain decision under the constraints of take-back laws. Systems Engineering-Theory & Practice 30(08):1355\u20131362","journal-title":"Systems Engineering-Theory & Practice"},{"key":"458_CR24","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.jclepro.2017.12.256","volume":"178","author":"H Liao","year":"2018","unstructured":"Liao H, Deng Q, Wang Y et al (2018) An environmental benefits and costs assessment model for remanufacturing process under quality uncertainty. J Clean Prod 178:45\u201358","journal-title":"J Clean Prod"},{"key":"458_CR25","doi-asserted-by":"crossref","first-page":"1127","DOI":"10.1016\/j.jclepro.2018.11.218","volume":"211","author":"H Liao","year":"2019","unstructured":"Liao H, Shi Y, Liu X et al (2019) A non-probabilistic model of carbon footprints in remanufacture under multiple uncertainties. J Clean Prod 211:1127\u20131140","journal-title":"J Clean Prod"},{"issue":"04","key":"458_CR27","first-page":"625","volume":"14","author":"GF Liu","year":"2017","unstructured":"Liu GF, Liu WX (2017) Differential pricing strategies in closed-loop supply chain of dual-channel remanufacturing. Chinese Journal of Management 14(04):625\u2013632","journal-title":"Chinese Journal of Management"},{"key":"458_CR28","doi-asserted-by":"crossref","first-page":"492","DOI":"10.1016\/j.jclepro.2016.12.126","volume":"144","author":"L Liu","year":"2017","unstructured":"Liu L, Wang Z, Xu L et al (2017) Collection effort and reverse channel choices in a closed-loop supply chain. J Clean Prod 144:492\u2013500","journal-title":"J Clean Prod"},{"issue":"10","key":"458_CR29","first-page":"2600","volume":"37","author":"XR Li","year":"2017","unstructured":"Li XR, Zuo HW (2017) Impacts of government double intervention on dual-sale-channel closed-loop supply chain. Syst Eng Theory Pract 37(10):2600\u20132610","journal-title":"Syst Eng Theory Pract"},{"issue":"Part A","key":"458_CR30","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/j.ijpe.2016.09.025","volume":"183","author":"T Maiti","year":"2017","unstructured":"Maiti T, Giri BC (2017) Two-way product return in a closed-loop supply chain with variable markup under price and quality dependent demand. Int J Prod Econ 183(Part A):259\u2013272","journal-title":"Int J Prod Econ"},{"key":"458_CR31","doi-asserted-by":"crossref","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","journal-title":"J Clean Prod"},{"issue":"Part B","key":"458_CR32","first-page":"251","volume":"59","author":"ZJ Ma","year":"2016","unstructured":"Ma ZJ, Nian Z, Ying D et al (2016) Managing channel profits of different cooperative models in closed-loop supply chains. Omega 59(Part B):251\u2013262","journal-title":"Omega"},{"key":"458_CR33","doi-asserted-by":"crossref","first-page":"1548","DOI":"10.1016\/j.jclepro.2016.09.173","volume":"141","author":"MS Moshtagh","year":"2017","unstructured":"Moshtagh MS, Taleizadeh AA (2017) Stochastic integrated manufacturing and remanufacturing model with shortage, rework and quality based return rate in a closed loop supply chain. J Clean Prod 141:1548\u20131573","journal-title":"J Clean Prod"},{"key":"458_CR34","doi-asserted-by":"crossref","first-page":"4463","DOI":"10.1080\/00207540902906151","volume":"48","author":"JQF Neto","year":"2010","unstructured":"Neto JQF, Walther G, Bloemhof J et al (2010) From closed-loop to sustainable supply chains: the WEEE case. Int J Prod Res 48:4463\u20134481","journal-title":"Int J Prod Res"},{"issue":"11","key":"458_CR35","doi-asserted-by":"crossref","first-page":"999","DOI":"10.1016\/j.jclepro.2009.02.021","volume":"17","author":"J \u00d6Stlin","year":"2009","unstructured":"\u00d6Stlin J, Sundin E, Bj\u00f6Rkman M (2009) Product life-cycle implications for remanufacturing strategies. J Clean Prod 17(11):999\u20131009","journal-title":"J Clean Prod"},{"key":"458_CR36","doi-asserted-by":"crossref","first-page":"630","DOI":"10.1016\/j.cie.2017.09.033","volume":"113","author":"S Panda","year":"2017","unstructured":"Panda S, Modak NM, C\u00e1rdenas-Barr\u00f3n LE (2017) Coordination and benefit sharing in a three-echelon distribution channel with deteriorating product. Comput Ind Eng 113:630\u2013645","journal-title":"Comput Ind Eng"},{"key":"458_CR37","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2020.120032","author":"H Peng","year":"2020","unstructured":"Peng H, Shen N, Liao H et al (2020) Uncertainty factors, methods, and solutions of closed-loop supply chain: a review for current situation and future prospects. J Clean Prod. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120032","journal-title":"J Clean Prod"},{"key":"458_CR38","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/0148-2963(91)90050-8","volume":"22","author":"JN Sheth","year":"1991","unstructured":"Sheth JN, Newman BI, Gross BL (1991) Why we buy what we buy: a theory of consumption values. J Bus Res 22:159\u2013170","journal-title":"J Bus Res"},{"issue":"01","key":"458_CR39","doi-asserted-by":"crossref","first-page":"7","DOI":"10.1111\/j.1540-5915.2012.00394.x","volume":"44","author":"GC Souza","year":"2013","unstructured":"Souza GC (2013) Closed_loop supply chains: a critical review, and future research. Decis Sci 44(01):7\u201338","journal-title":"Decis Sci"},{"issue":"04","key":"458_CR40","first-page":"110","volume":"35","author":"F Tang","year":"2017","unstructured":"Tang F, Xu MZ (2017) Pricing decision in dual-channel closed-loop supply chain based on fairness preference. Syst Eng 35(04):110\u2013115","journal-title":"Syst Eng"},{"issue":"4","key":"458_CR41","doi-asserted-by":"crossref","first-page":"3938","DOI":"10.1016\/j.jclepro.2016.10.063","volume":"142","author":"W Wang","year":"2017","unstructured":"Wang W, Zhang Y, Li Y et al (2017b) Closed-loop supply chains under reward-penalty mechanism: retailer collection and asymmetric information. J Clean Prod 142(4):3938\u20133955","journal-title":"J Clean Prod"},{"key":"458_CR42","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1016\/j.jclepro.2017.08.104","volume":"168","author":"W Wang","year":"2017","unstructured":"Wang W, Fan L, Ma P et al (2017a) Reward-penalty mechanism in a closed-loop supply chain with sequential manufacturers\u2019 price competition. J Clean Prod 168:118\u2013130","journal-title":"J Clean Prod"},{"key":"458_CR43","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2020.120883","author":"Y Wang","year":"2020","unstructured":"Wang Y, Fan R, Shen L et al (2020) Recycling decisions of low-carbon e-commerce closed-loop supply chain under government subsidy mechanism and altruistic preference. J Clean Prod. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120883","journal-title":"J Clean Prod"},{"key":"458_CR44","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.jclepro.2015.02.014","volume":"94","author":"S Wei","year":"2015","unstructured":"Wei S, Cheng D, Sundin E et al (2015) Motives and barriers of the remanufacturing industry in China. J Clean Prod 94:340\u2013351","journal-title":"J Clean Prod"},{"key":"458_CR45","doi-asserted-by":"publisher","DOI":"10.1016\/j.jclepro.2020.120333","author":"L Wu","year":"2020","unstructured":"Wu L, Liu L, Wang Z (2020) Competitive remanufacturing and pricing strategy with contrast effect and assimilation effect. J Clean Prod. https:\/\/doi.org\/10.1016\/j.jclepro.2020.120333","journal-title":"J Clean Prod"},{"issue":"02","key":"458_CR46","first-page":"185","volume":"31","author":"JP Xie","year":"2017","unstructured":"Xie JP, Liang L, Li YY et al (2017) Optimization research of revenue sharing contract mechanism in closed-loop supply chain. J Ind Eng Eng Manag 31(02):185\u2013193","journal-title":"J Ind Eng Eng Manag"},{"issue":"04","key":"458_CR47","first-page":"1046","volume":"24","author":"CH Yang","year":"2018","unstructured":"Yang CH, He LJ, Chen TT et al (2018) Manufacturing\/remanufacturing decision based on the selection of recycling and remanufacturing channel. Comput Integr Manuf Syst 24(04):1046\u20131056","journal-title":"Comput Integr Manuf Syst"},{"issue":"01","key":"458_CR48","first-page":"117","volume":"32","author":"FM Yao","year":"2017","unstructured":"Yao FM, Teng CX (2017) Decision models of closed-loop supply chain with dominant retailer considering fairness concern. Control Decis 32(01):117\u2013123","journal-title":"Control Decis"},{"key":"458_CR49","doi-asserted-by":"crossref","first-page":"1393","DOI":"10.1016\/j.jclepro.2016.07.104","volume":"137","author":"P Yi","year":"2016","unstructured":"Yi P, Huang M, Guo L, Shi T (2016) Dual recycling channel decision in retailer oriented closed-loop supply chain for construction machinery remanufacturing. J Clean Prod 137:1393\u20131405","journal-title":"J Clean Prod"},{"key":"458_CR50","doi-asserted-by":"crossref","first-page":"132","DOI":"10.1016\/j.ijpe.2016.07.017","volume":"182","author":"SO Yoo","year":"2016","unstructured":"Yoo SO, Kim BC (2016) Joint pricing of new and refurbished items: a comparison of closed-loop supply chain models. Int J Prod Econ 182:132\u2013143","journal-title":"Int J Prod Econ"},{"issue":"03","key":"458_CR51","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1177\/002224298805200302","volume":"52","author":"VA Zeithaml","year":"1988","unstructured":"Zeithaml VA (1988) Consumer perceptions of price, quality, and value: a means-end model and synthesis of evidence. J Market 52(03):2\u201322","journal-title":"J Market"},{"issue":"01","key":"458_CR52","first-page":"176","volume":"31","author":"GT Zhang","year":"2017","unstructured":"Zhang GT, Sun H, Hu JS (2017) Multi-period closed-loop supply chain network equilibrium based on constrained inventory. J Ind Eng Eng Manag 31(01):176\u2013184","journal-title":"J Ind Eng Eng Manag"},{"issue":"01","key":"458_CR53","first-page":"85","volume":"31","author":"JH Zhao","year":"2017","unstructured":"Zhao JH, Lin J (2017) Pricing models of closed-loop supply \nchain under different subsidy policies. J Ind Eng Eng Manag 31(01):85\u201392","journal-title":"J Ind Eng Eng Manag"},{"key":"458_CR54","doi-asserted-by":"crossref","first-page":"530","DOI":"10.1016\/j.jclepro.2017.07.254","volume":"167","author":"J Zhao","year":"2017","unstructured":"Zhao J, Wei J, Li M (2017) Collecting channel choice and optimal decisions on pricing and collecting in a remanufacturing supply chain. J Clean Prod 167:530\u2013544","journal-title":"J Clean Prod"},{"issue":"01","key":"458_CR55","first-page":"103","volume":"32","author":"BR Zheng","year":"2017","unstructured":"Zheng BR, Yang C, Yang J (2017a) Pricing and coordination strategy of dual-channel closed-loop supply chain under patent protection. J Syst Eng 32(01):103\u2013113","journal-title":"J Syst Eng"},{"key":"458_CR56","doi-asserted-by":"crossref","first-page":"09","DOI":"10.1016\/j.cie.2017.07.004","volume":"111","author":"BR Zheng","year":"2017","unstructured":"Zheng BR, Yang C, Yang J et al (2017b) Pricing, collecting and contract design in a reverse supply chain with incomplete information. Comput Ind Eng 111:09\u2013122","journal-title":"Comput Ind Eng"},{"issue":"02","key":"458_CR57","first-page":"193","volume":"32","author":"XW Zhou","year":"2017","unstructured":"Zhou XW, Xiong HW, Chen XH (2017) Reverse channel selection in closed-loop supply chain based on quality of recycled products. Control and Decision 32(02):193\u2013202","journal-title":"Control and Decision"},{"issue":"02","key":"458_CR58","first-page":"92","volume":"33","author":"KJ Zhu","year":"2017","unstructured":"Zhu KJ, Yang B, Ding PQ (2017) Pricing and coordination of closed-loop supply chain considering consumers\u2019 uncertain preferences. Consum Econ 33(02):92\u201397","journal-title":"Consum Econ"},{"issue":"05","key":"458_CR59","first-page":"140","volume":"35","author":"QM Zou","year":"2017","unstructured":"Zou QM, Chen JH, Ye GY (2017) Pricing strategies and coordination mechanism of closed-loop supply chain considering production and quality of return products. Syst Eng 35(05):140\u2013144","journal-title":"Syst Eng"}],"container-title":["4OR"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10288-020-00458-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10288-020-00458-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10288-020-00458-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,22]],"date-time":"2021-11-22T10:10:40Z","timestamp":1637575840000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10288-020-00458-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,10,19]]},"references-count":58,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2021,12]]}},"alternative-id":["458"],"URL":"https:\/\/doi.org\/10.1007\/s10288-020-00458-7","relation":{},"ISSN":["1619-4500","1614-2411"],"issn-type":[{"value":"1619-4500","type":"print"},{"value":"1614-2411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,10,19]]},"assertion":[{"value":"14 September 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"3 April 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 October 2020","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Compliance with ethical standards"}},{"value":"We declare that we do not have any commercial or associative interest that represents a conflict of interest in connection with the work submitted.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"There are four authors in this manuscript: Jingfeng Dong, Shufa Sun, Guichen Gao and Ruoyi Yang. The contributions of each author are as follows: (1) Jingfeng Dong put forward the idea, established and solved the models mentioned in this paper, analyzed the results of numerical examples, and wrote the original version of this manuscript. (2) Shufa Sun checked the models mentioned in this paper, put forward some modification suggestions and proved some propositions. (3) Guichen Gao mainly completed the implementation of numerical examples, and calculated the model examples by using MATLAB software. (4) Ruoyi Yang collected a large number of documents in the early stage of writing, classified and summarized them, and revised the English version of the manuscript. Moreover, we thank LetPub (www.letpub.com) for its linguistic assistance during the preparation of this manuscript. No conflict of interest exits in the submission of this manuscript, and manuscript is approved by all authors for publication. I would like to declare on behalf of my co-authors that the work described was original research that has not been published previously, and not under consideration for publication elsewhere in any form or language (partially or in full).\nThe results are presented clearly, honestly, and without fabrication, falsification or inappropriate data manipulation (including image based manipulation).","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical statement"}}]}}