{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T07:34:49Z","timestamp":1740123289898,"version":"3.37.3"},"reference-count":47,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T00:00:00Z","timestamp":1643241600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T00:00:00Z","timestamp":1643241600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["71671095"],"award-info":[{"award-number":["71671095"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"fundamental research funds for the central universities","doi-asserted-by":"publisher","award":["2232021E-10"],"award-info":[{"award-number":["2232021E-10"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2022,5]]},"DOI":"10.1007\/s10479-021-04427-z","type":"journal-article","created":{"date-parts":[[2022,1,27]],"date-time":"2022-01-27T00:03:36Z","timestamp":1643241816000},"page":"1051-1093","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Average lexicographic efficiency decomposition in two-stage data envelopment analysis: an application to China\u2019s regional high-tech innovation systems"],"prefix":"10.1007","volume":"312","author":[{"given":"Jiawei","family":"Yang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lei","family":"Fang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,1,27]]},"reference":[{"key":"4427_CR1","doi-asserted-by":"publisher","first-page":"1069","DOI":"10.1016\/S0048-7333(01)00184-6","volume":"31","author":"ZJ Acs","year":"2002","unstructured":"Acs, Z. J., Anselin, L., & Varga, A. (2002). Patents and innovation counts as measures of regional production of new knowledge. Research Policy, 31, 1069\u20131085.","journal-title":"Research Policy"},{"issue":"1\u20132","key":"4427_CR2","doi-asserted-by":"publisher","first-page":"39","DOI":"10.1007\/s10479-018-2858-3","volume":"274","author":"M Al-Siyabi","year":"2019","unstructured":"Al-Siyabi, M., Amin, G. R., Bose, S., & Al-Masroori, H. (2019). Peer-judgment risk minimization using DEA cross-evaluation with an application in fishery. Annals of Operations Research, 274(1\u20132), 39\u201355.","journal-title":"Annals of Operations Research"},{"issue":"5","key":"4427_CR3","doi-asserted-by":"publisher","first-page":"803","DOI":"10.1016\/S0305-0548(03)00072-8","volume":"31","author":"GR Amin","year":"2004","unstructured":"Amin, G. R., & Toloo, M. (2004). A polynomial-time algorithm for finding epsilon in DEA models. Computers & Operations Research, 31(5), 803\u2013805.","journal-title":"Computers & Operations Research"},{"key":"4427_CR4","doi-asserted-by":"publisher","first-page":"707","DOI":"10.1007\/s10479-018-2883-2","volume":"290","author":"Q An","year":"2020","unstructured":"An, Q., Meng, F., Xiong, B., Wang, Z., & Chen, X. (2020). Assessing the relative efficiency of Chinese high-tech industries: A dynamic network data envelopment analysis approach. Annals of Operations Research, 290, 707\u2013729.","journal-title":"Annals of Operations Research"},{"key":"4427_CR5","doi-asserted-by":"publisher","first-page":"1078","DOI":"10.1287\/mnsc.30.9.1078","volume":"30","author":"RD Banker","year":"1984","unstructured":"Banker, R. D., Charnes, A., & Cooper, W. W. (1984). Some models for estimating technical and scale inefficiencies in data envelopment analysis. Management Science, 30, 1078\u20131092.","journal-title":"Management Science"},{"key":"4427_CR6","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1016\/j.eswa.2016.06.017","volume":"62","author":"EG Carayannis","year":"2016","unstructured":"Carayannis, E. G., Grigoroudis, E., & Goletsis, Y. (2016). A multilevel and multistage efficiency evaluation of innovation systems: A multiobjective DEA approach. Expert Systems with Applications, 62, 63\u201380.","journal-title":"Expert Systems with Applications"},{"key":"4427_CR7","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1002\/nav.3800090303","volume":"9","author":"A Charnes","year":"1962","unstructured":"Charnes, A., & Cooper, W. W. (1962). Programming with linear fractional functionals. Naval Research Logistics (NRL), 9, 181\u2013186.","journal-title":"Naval Research Logistics (NRL)"},{"key":"4427_CR8","doi-asserted-by":"publisher","first-page":"429","DOI":"10.1016\/0377-2217(78)90138-8","volume":"2","author":"A Charnes","year":"1978","unstructured":"Charnes, A., Cooper, W. W., & Rhodes, E. (1978). Measuring the efficiency of decision making units. European Journal of Operational Research, 2, 429\u2013444.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR9","doi-asserted-by":"publisher","first-page":"749","DOI":"10.1016\/j.ejor.2009.09.001","volume":"203","author":"C-M Chen","year":"2010","unstructured":"Chen, C.-M., & van Dalen, J. (2010). Measuring dynamic efficiency: Theories and an integrated methodology. European Journal of Operational Research, 203, 749\u2013760.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR10","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.omega.2017.01.008","volume":"74","author":"H Chen","year":"2018","unstructured":"Chen, H. (2018). Average lexicographic efficiency for data envelopment analysis. Omega, 74, 82\u201391.","journal-title":"Omega"},{"key":"4427_CR11","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1080\/00343404.2010.497479","volume":"46","author":"K Chen","year":"2012","unstructured":"Chen, K., & Guan, J. (2012). Measuring the efficiency of China\u2019s regional innovation systems: Application of Network Data Envelopment Analysis (DEA). Regional Studies, 46, 355\u2013377.","journal-title":"Regional Studies"},{"issue":"2","key":"4427_CR12","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1007\/s00168-014-0604-6","volume":"52","author":"K Chen","year":"2014","unstructured":"Chen, K., & Kou, M. (2014). Staged efficiency and its determinants of regional innovation systems: A two-step analytical procedure. The Annals of Regional Science, 52(2), 627\u2013657.","journal-title":"The Annals of Regional Science"},{"key":"4427_CR13","doi-asserted-by":"publisher","first-page":"42","DOI":"10.1016\/j.technovation.2018.02.009","volume":"74","author":"X Chen","year":"2018","unstructured":"Chen, X., Liu, Z., & Zhu, Q. (2018). Performance evaluation of China\u2019s high-tech innovation process: Analysis based on the innovation value chain. Technovation, 74, 42\u201353.","journal-title":"Technovation"},{"key":"4427_CR14","doi-asserted-by":"publisher","first-page":"1170","DOI":"10.1016\/j.ejor.2008.05.011","volume":"196","author":"Y Chen","year":"2009","unstructured":"Chen, Y., Cook, W. D., Li, N., & Zhu, J. (2009). Additive efficiency decomposition in two-stage DEA. European Journal of Operational Research, 196, 1170\u20131176.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR15","doi-asserted-by":"publisher","first-page":"102054","DOI":"10.1016\/j.omega.2019.03.012","volume":"94","author":"J Chu","year":"2020","unstructured":"Chu, J., Wu, J., Chu, C., & Zhang, T. (2020). DEA-based fixed cost allocation in two-stage systems: Leader-follower and satisfaction degree bargaining game approaches. Omega, 94, 102054.","journal-title":"Omega"},{"key":"4427_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ejor.2008.01.032","volume":"192","author":"WD Cook","year":"2009","unstructured":"Cook, W. D., & Seiford, L. M. (2009). Data envelopment analysis (DEA)\u2013Thirty years on. European Journal of Operational Research, 192, 1\u201317.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR17","doi-asserted-by":"publisher","first-page":"71","DOI":"10.1007\/s11123-014-0415-x","volume":"45","author":"DK Despotis","year":"2016","unstructured":"Despotis, D. K., Koronakos, G., & Sotiros, D. (2016a). Composition versus decomposition in two-stage network DEA: A reverse approach. Journal of Productivity Analysis, 45, 71\u201387.","journal-title":"Journal of Productivity Analysis"},{"issue":"2","key":"4427_CR18","doi-asserted-by":"publisher","first-page":"481","DOI":"10.1016\/j.ejor.2016.03.028","volume":"254","author":"DK Despotis","year":"2016","unstructured":"Despotis, D. K., Koronakos, G., & Sotiros, D. (2016b). The \u201cweak-link\u201d approach to network DEA for two-stage processes. European Journal of Operational Research, 254(2), 481\u2013492.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR19","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1016\/j.seps.2017.01.008","volume":"61","author":"A Emrouznejad","year":"2018","unstructured":"Emrouznejad, A., & Yang, G.-L. (2018). A survey and analysis of the first 40 years of scholarly literature in DEA: 1978\u20132016. Socio-Economic Planning Sciences, 61, 4\u20138.","journal-title":"Socio-Economic Planning Sciences"},{"key":"4427_CR20","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1016\/S0038-0121(99)00012-9","volume":"34","author":"R F\u00e4re","year":"2000","unstructured":"F\u00e4re, R., & Grosskopf, S. (2000). Network DEA Network DEA. Socio-Economic Planning Sciences, 34, 35\u201349.","journal-title":"Socio-Economic Planning Sciences"},{"key":"4427_CR21","doi-asserted-by":"publisher","first-page":"168","DOI":"10.1016\/j.omega.2017.06.006","volume":"77","author":"DU Galagedera","year":"2018","unstructured":"Galagedera, D. U., Roshdi, I., Fukuyama, H., & Zhu, J. (2018). A new network DEA model for mutual fund performance appraisal: An application to US equity mutual funds. Omega, 77, 168\u2013179.","journal-title":"Omega"},{"key":"4427_CR100","doi-asserted-by":"publisher","unstructured":"Gerami, J., Mavi, R. K., Saen, R. F., & Mavi, N. K. (2020). A novel network DEA-R model for evaluating hospital services supply chain performance. Annals of Operations Research. https:\/\/doi.org\/10.1007\/s10479-020-03755-w.","DOI":"10.1007\/s10479-020-03755-w"},{"key":"4427_CR22","doi-asserted-by":"publisher","first-page":"237","DOI":"10.1016\/0305-0483(89)90029-7","volume":"17","author":"B Golany","year":"1989","unstructured":"Golany, B., & Roll, Y. (1989). An application procedure for DEA. Omega, 17, 237\u2013250.","journal-title":"Omega"},{"key":"4427_CR23","doi-asserted-by":"publisher","first-page":"348","DOI":"10.1016\/j.technovation.2010.02.001","volume":"30","author":"J Guan","year":"2010","unstructured":"Guan, J., & Chen, K. (2010a). Measuring the innovation production process: A cross-region empirical study of China\u2019s high-tech innovations. Technovation, 30, 348\u2013358.","journal-title":"Technovation"},{"key":"4427_CR24","doi-asserted-by":"publisher","first-page":"165","DOI":"10.1007\/s11192-009-0030-1","volume":"82","author":"J Guan","year":"2010","unstructured":"Guan, J., & Chen, K. (2010b). Modeling macro-R&D production frontier performance: An application to Chinese province-level R&D. Scientometrics, 82, 165\u2013173.","journal-title":"Scientometrics"},{"key":"4427_CR25","doi-asserted-by":"publisher","first-page":"102","DOI":"10.1016\/j.respol.2011.07.001","volume":"41","author":"J Guan","year":"2012","unstructured":"Guan, J., & Chen, K. (2012). Modeling the relative efficiency of national innovation systems. Research Policy, 41, 102\u2013115.","journal-title":"Research Policy"},{"key":"4427_CR26","doi-asserted-by":"publisher","first-page":"896","DOI":"10.1016\/j.ejor.2016.08.002","volume":"257","author":"C Guo","year":"2017","unstructured":"Guo, C., Shureshjani, R. A., Foroughi, A. A., & Zhu, J. (2017). Decomposition weights and system efficiency in two-stage additive network DEA. European Journal of Operational Research, 257, 896\u2013906.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/j.ejor.2014.02.039","volume":"239","author":"C Kao","year":"2014","unstructured":"Kao, C. (2014). Network data envelopment analysis: A review. European Journal of Operational Research, 239, 1\u201316.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR28","doi-asserted-by":"publisher","first-page":"679","DOI":"10.1016\/j.ejor.2017.03.016","volume":"261","author":"C Kao","year":"2017","unstructured":"Kao, C. (2017). Efficiency measurement and frontier projection identification for general two-stage systems in data envelopment analysis. European Journal of Operational Research, 261, 679\u2013689.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR29","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1016\/j.ejor.2006.11.041","volume":"185","author":"C Kao","year":"2008","unstructured":"Kao, C., & Hwang, S.-N. (2008). Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan. European Journal of Operational Research, 185, 418\u2013429.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR30","doi-asserted-by":"publisher","first-page":"70","DOI":"10.1016\/j.omega.2018.02.004","volume":"83","author":"C Kao","year":"2019","unstructured":"Kao, C., & Liu, S.-T. (2019). Cross efficiency measurement and decomposition in two basic network systems. Omega, 83, 70\u201379.","journal-title":"Omega"},{"key":"4427_CR31","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1093\/qje\/qjw040","volume":"132","author":"L Kogan","year":"2017","unstructured":"Kogan, L., Papanikolaou, D., Seru, A., & Stoffman, N. (2017). Technological innovation, resource allocation, and growth. The Quarterly Journal of Economics, 132, 665\u2013712.","journal-title":"The Quarterly Journal of Economics"},{"issue":"2","key":"4427_CR32","doi-asserted-by":"publisher","first-page":"533","DOI":"10.1016\/j.ejor.2018.08.044","volume":"278","author":"J Lee","year":"2019","unstructured":"Lee, J., Kim, C., & Choi, G. (2019). Exploring data envelopment analysis for measuring collaborated innovation efficiency of small and medium-sized enterprises in Korea. European Journal of Operational Research, 278(2), 533\u2013545.","journal-title":"European Journal of Operational Research"},{"key":"4427_CR33","doi-asserted-by":"publisher","first-page":"643","DOI":"10.1002\/nav.20308","volume":"55","author":"L Liang","year":"2008","unstructured":"Liang, L., Cook, W. D., & Zhu, J. (2008). DEA models for two-stage processes: Game approach and efficiency decomposition. Naval Research Logistics (NRL), 55, 643\u2013653.","journal-title":"Naval Research Logistics (NRL)"},{"key":"4427_CR34","doi-asserted-by":"publisher","first-page":"453","DOI":"10.1016\/j.omega.2009.12.002","volume":"38","author":"JS Liu","year":"2010","unstructured":"Liu, J. S., & Lu, W.-M. (2010). DEA and ranking with the network-based approach: A case of R&D performance. Omega, 38, 453\u2013464.","journal-title":"Omega"},{"issue":"4","key":"4427_CR35","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1111\/radm.12067","volume":"45","author":"JS Liu","year":"2015","unstructured":"Liu, J. S., Lu, W. M., & Ho, M. H. C. (2015). National characteristics: Innovation systems from the process efficiency perspective. R&D Management, 45(4), 317\u2013338.","journal-title":"R&D Management"},{"key":"4427_CR36","doi-asserted-by":"publisher","first-page":"82","DOI":"10.1016\/j.omega.2015.08.011","volume":"62","author":"W-M Lu","year":"2016","unstructured":"Lu, W.-M., Kweh, Q. L., Nourani, M., & Huang, F.-W. (2016). Evaluating the efficiency of dual-use technology development programs from the R&D and socio-economic perspectives. Omega, 62, 82\u201392.","journal-title":"Omega"},{"issue":"2","key":"4427_CR37","doi-asserted-by":"publisher","first-page":"344","DOI":"10.1287\/opre.48.2.344.12381","volume":"48","author":"S Mehrabian","year":"2000","unstructured":"Mehrabian, S., Jahanshahloo, G. R., Alirezaee, M., & Amin, G. R. (2000). An assurance interval for the non-Archimedean epsilon in DEA models. Operations Research, 48(2), 344\u2013347.","journal-title":"Operations Research"},{"key":"4427_CR38","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1002\/npr.4040110309","volume":"11","author":"JA Oxman","year":"1992","unstructured":"Oxman, J. A. (1992). The global service quality measurement program at American Express Bank. National Productivity Review, 11, 381\u2013392.","journal-title":"National Productivity Review"},{"key":"4427_CR39","doi-asserted-by":"publisher","first-page":"645","DOI":"10.1287\/opre.50.4.645.2854","volume":"50","author":"T Post","year":"2002","unstructured":"Post, T., Cherchye, L., & Kuosmanen, T. (2002). Nonparametric efficiency estimation in stochastic environments. Operations Research, 50, 645\u2013655.","journal-title":"Operations Research"},{"key":"4427_CR40","doi-asserted-by":"publisher","first-page":"5","DOI":"10.1016\/j.omega.2013.09.005","volume":"44","author":"K Wang","year":"2014","unstructured":"Wang, K., Huang, W., Wu, J., & Liu, Y.-N. (2014). Efficiency measures of the Chinese commercial banking system using an additive two-stage DEA. Omega, 44, 5\u201320.","journal-title":"Omega"},{"key":"4427_CR41","doi-asserted-by":"publisher","first-page":"254","DOI":"10.1016\/j.techfore.2016.04.019","volume":"112","author":"Q Wang","year":"2016","unstructured":"Wang, Q., Hang, Y., Sun, L., & Zhao, Z. (2016). Two-stage innovation efficiency of new energy enterprises in China: A non-radial DEA approach. Technological Forecasting and Social Change, 112, 254\u2013261.","journal-title":"Technological Forecasting and Social Change"},{"issue":"3","key":"4427_CR42","doi-asserted-by":"publisher","first-page":"784","DOI":"10.1016\/j.joi.2018.07.003","volume":"12","author":"X Xiong","year":"2018","unstructured":"Xiong, X., Yang, G., & Guan, Z. (2018). Assessing R&D efficiency using a two-stage dynamic DEA model: A case study of research institutes in the Chinese Academy of Sciences. Journal of Informetrics, 12(3), 784\u2013805.","journal-title":"Journal of Informetrics"},{"key":"4427_CR101","doi-asserted-by":"crossref","unstructured":"Xu, S., Fang, L., & Govindan, K. (2022). Energy performance contracting in a supply chain with financially asymmetric manufacturers under carbon tax regulation for climate change mitigation. Omega, 106, 102535.","DOI":"10.1016\/j.omega.2021.102535"},{"key":"4427_CR43","doi-asserted-by":"publisher","first-page":"2","DOI":"10.1016\/j.seps.2018.07.013","volume":"66","author":"B Zhang","year":"2019","unstructured":"Zhang, B., Luo, Y., & Chiu, Y.-H. (2019). Efficiency evaluation of China\u2019s high-tech industry with a multi-activity network data envelopment analysis approach. Socio-Economic Planning Sciences, 66, 2\u20139.","journal-title":"Socio-Economic Planning Sciences"},{"key":"4427_CR44","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/j.cor.2017.06.017","volume":"98","author":"Q Zhu","year":"2018","unstructured":"Zhu, Q., Wu, J., & Song, M. (2018). Efficiency evaluation based on data envelopment analysis in the big data context. Computers & Operations Research, 98, 291\u2013300.","journal-title":"Computers & Operations Research"},{"key":"4427_CR45","doi-asserted-by":"publisher","first-page":"175","DOI":"10.1007\/s11192-017-2380-4","volume":"112","author":"K Zuo","year":"2017","unstructured":"Zuo, K., & Guan, J. (2017). Measuring the R&D efficiency of regions by a parallel DEA game model. Scientometrics, 112, 175\u2013194.","journal-title":"Scientometrics"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04427-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-021-04427-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04427-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,11]],"date-time":"2023-02-11T12:22:14Z","timestamp":1676118134000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-021-04427-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,27]]},"references-count":47,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,5]]}},"alternative-id":["4427"],"URL":"https:\/\/doi.org\/10.1007\/s10479-021-04427-z","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"type":"print","value":"0254-5330"},{"type":"electronic","value":"1572-9338"}],"subject":[],"published":{"date-parts":[[2022,1,27]]},"assertion":[{"value":"11 November 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 January 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}