{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,19]],"date-time":"2024-07-19T09:04:58Z","timestamp":1721379898393},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2019,7,25]],"date-time":"2019-07-25T00:00:00Z","timestamp":1564012800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2019,7,25]],"date-time":"2019-07-25T00:00:00Z","timestamp":1564012800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"publisher","award":["17-11-01353"],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2020,3]]},"DOI":"10.1007\/s10898-019-00812-y","type":"journal-article","created":{"date-parts":[[2019,7,25]],"date-time":"2019-07-25T07:29:25Z","timestamp":1564039765000},"page":"563-574","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["Multidimensional frontier visualization based on optimization methods using parallel computations"],"prefix":"10.1007","volume":"76","author":[{"given":"Alexander P.","family":"Afanasiev","sequence":"first","affiliation":[]},{"ORCID":"http:\/\/orcid.org\/0000-0003-0583-2829","authenticated-orcid":false,"given":"Vladimir E.","family":"Krivonozhko","sequence":"additional","affiliation":[]},{"given":"Andrey V.","family":"Lychev","sequence":"additional","affiliation":[]},{"given":"Oleg V.","family":"Sukhoroslov","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,7,25]]},"reference":[{"issue":"1","key":"812_CR1","doi-asserted-by":"publisher","first-page":"117","DOI":"10.1007\/s10898-011-9745-7","volume":"54","author":"A Amirteimoori","year":"2012","unstructured":"Amirteimoori, A., Kordrostami, S.: A distance-based measure of super efficiency in data envelopment analysis: an application to gas companies. J. Glob. Optim. 54(1), 117\u2013128 (2012). \nhttps:\/\/doi.org\/10.1007\/s10898-011-9745-7","journal-title":"J. Glob. Optim."},{"key":"812_CR2","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1155\/2014\/431749","volume":"2014","author":"J Aparicio","year":"2014","unstructured":"Aparicio, J., Lopez-Espin, J.J., Martinez-Moreno, R., Pastor, J.T.: Benchmarking in data envelopment analysis: an approach based on genetic algorithms and parallel programming. Adv. Oper. Res. 2014, 1\u20139 (2014). \nhttps:\/\/doi.org\/10.1155\/2014\/431749","journal-title":"Adv. Oper. Res."},{"issue":"9","key":"812_CR3","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.: Some models for estimating technical and scale inefficiencies in data envelopment analysis. Manag. Sci. 30(9), 1078\u20131092 (1984). \nhttps:\/\/doi.org\/10.1287\/mnsc.30.9.1078","journal-title":"Manag. Sci."},{"key":"812_CR4","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1023\/A:1018941531019","volume":"73","author":"RS Barr","year":"1997","unstructured":"Barr, R.S., Durchholz, M.L.: Parallel and hierarchical decomposition approaches for solving large-scale data envelopment analysis models. Ann. Oper. Res. 73, 339\u2013372 (1997). \nhttps:\/\/doi.org\/10.1023\/A:1018941531019","journal-title":"Ann. Oper. Res."},{"issue":"6","key":"812_CR5","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.: Measuring the efficiency of decision making units. Eur. J. Oper. Res. 2(6), 429\u2013444 (1978). \nhttps:\/\/doi.org\/10.1016\/0377-2217(78)90138-8","journal-title":"Eur. J. Oper. Res."},{"key":"812_CR6","doi-asserted-by":"publisher","DOI":"10.1007\/978-0-387-45283-8","volume-title":"Data Envelopment Analysis. A Comprehensive Text with Models, Applications, References and DEA-Solver Software","author":"WW Cooper","year":"2007","unstructured":"Cooper, W.W., Seiford, L.M., Tone, K.: Data Envelopment Analysis. A Comprehensive Text with Models, Applications, References and DEA-Solver Software, 2nd edn. Springer, New York (2007). \nhttps:\/\/doi.org\/10.1007\/978-0-387-45283-8","edition":"2"},{"key":"812_CR7","volume-title":"Algorithms","author":"S Dasgupta","year":"2006","unstructured":"Dasgupta, S., Papadimitriou, C.H., Vazirani, U.V.: Algorithms. McGraw-Hill, New York (2006)"},{"issue":"1","key":"812_CR8","doi-asserted-by":"publisher","first-page":"63","DOI":"10.1023\/A:1011103303616","volume":"16","author":"J Dul\u00e1","year":"2001","unstructured":"Dul\u00e1, J., Thrall, R.: A computational framework for accelerating dea. J. Product. Anal. 16(1), 63\u201378 (2001). \nhttps:\/\/doi.org\/10.1023\/A:1011103303616","journal-title":"J. Product. Anal."},{"issue":"4","key":"812_CR9","doi-asserted-by":"publisher","first-page":"1191","DOI":"10.1016\/j.cor.2006.07.011","volume":"35","author":"JH Dul\u00e1","year":"2008","unstructured":"Dul\u00e1, J.H.: A computational study of DEA with massive data sets. Comput. Oper. Res. 35(4), 1191\u20131203 (2008). \nhttps:\/\/doi.org\/10.1016\/j.cor.2006.07.011","journal-title":"Comput. Oper. Res."},{"issue":"4","key":"812_CR10","doi-asserted-by":"publisher","first-page":"1204","DOI":"10.1016\/j.cor.2008.01.004","volume":"36","author":"JH Dul\u00e1","year":"2009","unstructured":"Dul\u00e1, J.H., L\u00f3pez, F.J.: Preprocessing DEA. Comput. Oper. Res. 36(4), 1204\u20131220 (2009). \nhttps:\/\/doi.org\/10.1016\/j.cor.2008.01.004","journal-title":"Comput. Oper. Res."},{"key":"812_CR11","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.: A survey and analysis of the first 40 years of scholarly literature in DEA: 1978\u20132016. Socio Econ. Plan. Sci. 61, 4\u20138 (2018). \nhttps:\/\/doi.org\/10.1016\/j.seps.2017.01.008","journal-title":"Socio Econ. Plan. Sci."},{"issue":"1\u20132","key":"812_CR12","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/s11123-007-0047-5","volume":"28","author":"FR F\u00f8rsund","year":"2007","unstructured":"F\u00f8rsund, F.R., Hjalmarsson, L., Krivonozhko, V.E., Utkin, O.B.: Calculation of scale elasticities in dea models: direct and indirect approaches. J. Prod. Anal. 28(1\u20132), 45\u201356 (2007). \nhttps:\/\/doi.org\/10.1007\/s11123-007-0047-5","journal-title":"J. Prod. Anal."},{"issue":"4","key":"812_CR13","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1093\/imaman\/dpr003","volume":"22","author":"VE Krivonozhko","year":"2011","unstructured":"Krivonozhko, V.E., Piskunov, A.A., Lychev, A.V.: On comparison of ratio analysis and data envelopment analysis as performance assessment tools. IMA J. Manag. Math. 22(4), 357\u2013370 (2011). \nhttps:\/\/doi.org\/10.1093\/imaman\/dpr003","journal-title":"IMA J. Manag. Math."},{"issue":"11","key":"812_CR14","doi-asserted-by":"publisher","first-page":"1518","DOI":"10.1057\/jors.2009.64","volume":"60","author":"VE Krivonozhko","year":"2009","unstructured":"Krivonozhko, V.E., Utkin, O.B., Safin, M.M., Lychev, A.V.: On some generalization of the DEA models. J. Oper. Res. Soc. 60(11), 1518\u20131527 (2009). \nhttps:\/\/doi.org\/10.1057\/jors.2009.64","journal-title":"J. Oper. Res. Soc."},{"issue":"4","key":"812_CR15","doi-asserted-by":"publisher","first-page":"425","DOI":"10.1007\/s10598-010-9082-6","volume":"21","author":"VE Krivonozhko","year":"2010","unstructured":"Krivonozhko, V.E., Utkin, O.B., Safin, M.M., Lychev, A.V.: Set-to-set maps in efficiency analysis of complex systems. Comput. Math. Model. 21(4), 425\u2013439 (2010). \nhttps:\/\/doi.org\/10.1007\/s10598-010-9082-6","journal-title":"Comput. Math. Model."},{"issue":"12","key":"812_CR16","doi-asserted-by":"publisher","first-page":"1373","DOI":"10.1057\/palgrave.jors.2602009","volume":"56","author":"VE Krivonozhko","year":"2005","unstructured":"Krivonozhko, V.E., Utkin, O.B., Volodin, A.V., Sablin, I.A.: About the structure of boundary points in DEA. J. Oper. Res. Soc. 56(12), 1373\u20131378 (2005). \nhttps:\/\/doi.org\/10.1057\/palgrave.jors.2602009","journal-title":"J. Oper. Res. Soc."},{"issue":"10","key":"812_CR17","doi-asserted-by":"publisher","first-page":"1049","DOI":"10.1057\/palgrave.jors.2601759","volume":"55","author":"VE Krivonozhko","year":"2004","unstructured":"Krivonozhko, V.E., Utkin, O.B., Volodin, A.V., Sablin, I.A., Patrin, M.V.: Constructions of economic functions and calculations of marginal rates in DEA using parametric optimization methods. J. Oper. Res. Soc. 55(10), 1049\u20131058 (2004). \nhttps:\/\/doi.org\/10.1057\/palgrave.jors.2601759","journal-title":"J. Oper. Res. Soc."},{"key":"812_CR18","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/978-3-540-88908-3_9","volume-title":"Multiobjective Optimization: Interactive and Evolutionary Approaches","author":"AV Lotov","year":"2008","unstructured":"Lotov, A.V., Miettinen, K.: Visualizing the pareto frontier. In: Branke, J., Deb, K., Miettinen, K., S\u0142owi\u0144ski, R. (eds.) Multiobjective Optimization: Interactive and Evolutionary Approaches, pp. 213\u2013243. Springer, Berlin (2008). \nhttps:\/\/doi.org\/10.1007\/978-3-540-88908-3_9"},{"key":"812_CR19","unstructured":"Lp\\_solve reference guide. \nhttp:\/\/lpsolve.sourceforge.net\/5.5\/\n\n. Accessed 22 Nov 2018"},{"key":"812_CR20","series-title":"London Mathematical Society Lecture Note Series","volume-title":"Convex Polytopes and the Upper Bound Conjecture","author":"P McMullen","year":"1971","unstructured":"McMullen, P., Shephard, G.C.: Convex Polytopes and the Upper Bound Conjecture. London Mathematical Society Lecture Note Series, vol. 3. Cambridge University Press, Cambridge (1971)"},{"issue":"3","key":"812_CR21","doi-asserted-by":"publisher","first-page":"559","DOI":"10.1016\/S0377-2217(97)00058-1","volume":"109","author":"U Pitaktong","year":"1998","unstructured":"Pitaktong, U., Brockett, P.L., Mote, J.R., Rousseau, J.J.: Identification of Pareto-efficient facets in data envelopment analysis. Eur. J. Oper. Res. 109(3), 559\u2013570 (1998). \nhttps:\/\/doi.org\/10.1016\/S0377-2217(97)00058-1","journal-title":"Eur. J. Oper. Res."},{"key":"812_CR22","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1098-6","volume-title":"Computational Geometry: An Introduction. Monographs in Computer Science","author":"FP Preparata","year":"1985","unstructured":"Preparata, F.P., Shamos, M.: Computational Geometry: An Introduction. Monographs in Computer Science. Springer, New York (1985). \nhttps:\/\/doi.org\/10.1007\/978-1-4612-1098-6"},{"key":"812_CR23","doi-asserted-by":"publisher","unstructured":"Sukhoroslov, O., Volkov, S., Afanasiev, A.: A web-based platform for publication and distributed execution of computing applications. In: 14th International Symposium on Parallel and Distributed Computing, pp. 175\u2013184 (2015). \nhttps:\/\/doi.org\/10.1109\/ISPDC.2015.27","DOI":"10.1109\/ISPDC.2015.27"},{"issue":"4","key":"812_CR24","first-page":"589","volume":"44","author":"AV Volodin","year":"2004","unstructured":"Volodin, A.V., Krivonozhko, V.E., Ryzhikh, D.A., Utkin, O.B.: Construction of three-dimensional sections in data envelopment analysis by using parametric optimization algorithms. Comput. Math. Math. Phys. 44(4), 589\u2013603 (2004)","journal-title":"Comput. Math. Math. Phys."},{"issue":"1","key":"812_CR25","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1007\/s10898-015-0314-3","volume":"64","author":"Y Yun","year":"2016","unstructured":"Yun, Y., Nakayama, H., Yoon, M.: Generation of Pareto optimal solutions using generalized DEA and PSO. J. Glob. Optim. 64(1), 49\u201361 (2016). \nhttps:\/\/doi.org\/10.1007\/s10898-015-0314-3","journal-title":"J. Glob. Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-019-00812-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-019-00812-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-019-00812-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,7,30]],"date-time":"2020-07-30T13:30:34Z","timestamp":1596115834000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-019-00812-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,7,25]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2020,3]]}},"alternative-id":["812"],"URL":"https:\/\/doi.org\/10.1007\/s10898-019-00812-y","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,7,25]]},"assertion":[{"value":"1 March 2018","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 July 2019","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 July 2019","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}