{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T01:17:38Z","timestamp":1742951858854,"version":"3.40.3"},"publisher-location":"Cham","reference-count":44,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030778750"},{"type":"electronic","value":"9783030778767"}],"license":[{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,1,1]],"date-time":"2021-01-01T00:00:00Z","timestamp":1609459200000},"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":[],"published-print":{"date-parts":[[2021]]},"DOI":"10.1007\/978-3-030-77876-7_9","type":"book-chapter","created":{"date-parts":[[2021,6,13]],"date-time":"2021-06-13T23:03:11Z","timestamp":1623625391000},"page":"127-143","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["An Approach for Simultaneous Finding of\u00a0Multiple Efficient Decisions in\u00a0Multi-objective Optimization Problems"],"prefix":"10.1007","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-5273-2471","authenticated-orcid":false,"given":"Konstantin","family":"Barkalov","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4013-2329","authenticated-orcid":false,"given":"Victor","family":"Gergel","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2884-3670","authenticated-orcid":false,"given":"Vladimir","family":"Grishagin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6776-0096","authenticated-orcid":false,"given":"Evgeniy","family":"Kozinov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2021,6,14]]},"reference":[{"key":"9_CR1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4615-5563-6","volume-title":"Nonlinear Multiobjective Optimization","author":"K Miettinen","year":"1999","unstructured":"Miettinen, K.: Nonlinear Multiobjective Optimization. Springer, Boston (1999). https:\/\/doi.org\/10.1007\/978-1-4615-5563-6"},{"key":"9_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-27659-9","volume-title":"Multicriteria Optimization","author":"M Ehrgott","year":"2010","unstructured":"Ehrgott, M.: Multicriteria Optimization, 2nd edn. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/3-540-27659-9","edition":"2"},{"key":"9_CR3","doi-asserted-by":"publisher","unstructured":"Collette, Y., Siarry, P.: Multiobjective Optimization: Principles and Case Studies. Decision Engineering, Springer, Heidelberg (2004). https:\/\/doi.org\/10.1007\/978-3-662-08883-8","DOI":"10.1007\/978-3-662-08883-8"},{"key":"9_CR4","unstructured":"Marler, R.T., Arora, J.S.: Multi-Objective Optimization: Concepts and Methods for Engineering. VDM Verlag, Saarbr\u00fccken (2009)"},{"key":"9_CR5","doi-asserted-by":"crossref","unstructured":"Pardalos, P.M., \u017dilinskas, A., \u017dilinskas, J.: Non-Convex Multi-Objective Optimization. Springer, Cham (2017)","DOI":"10.1007\/978-3-319-61007-8"},{"key":"9_CR6","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1007\/s00158-003-0368-6","volume":"26","author":"RT Marler","year":"2004","unstructured":"Marler, R.T., Arora, J.S.: Survey of multi-objective optimization methods for engineering. Struct. Multidiscip. Optim. 26, 369\u2013395 (2004)","journal-title":"Struct. Multidiscip. Optim."},{"key":"9_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/b100605","volume-title":"Multiple Criteria Decision Analysis: State of the Art Surveys","year":"2005","unstructured":"Figueira, J., Greco, S., Ehrgott, M. (eds.): Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, New York (2005). https:\/\/doi.org\/10.1007\/b100605"},{"key":"9_CR8","doi-asserted-by":"publisher","first-page":"165","DOI":"10.3846\/20294913.2014.892037","volume":"20","author":"EK Zavadskas","year":"2014","unstructured":"Zavadskas, E.K., Turskis, Z., Kildien\u0117, S.: State of art surveys of overviews on MCDM\/MADM methods. Technol. Econ. Dev. Econ. 20, 165\u2013179 (2014)","journal-title":"Technol. Econ. Dev. Econ."},{"key":"9_CR9","first-page":"1","volume":"11","author":"C Hillermeier","year":"2005","unstructured":"Hillermeier, C., Jahn, J.: Multiobjective optimization: survey of methods and industrial applications. Surv. Math. Ind. 11, 1\u201342 (2005)","journal-title":"Surv. Math. Ind."},{"key":"9_CR10","doi-asserted-by":"publisher","unstructured":"Collette, Y., Siarry, P.: Multiobjective Optimization: Principles and Case Studies. Decision Engineering. Springer, Heidelberg (2011) https:\/\/doi.org\/10.1007\/978-3-662-08883-8","DOI":"10.1007\/978-3-662-08883-8"},{"key":"9_CR11","doi-asserted-by":"publisher","first-page":"249","DOI":"10.1007\/s10589-007-9155-4","volume":"44","author":"G Eichfelder","year":"2009","unstructured":"Eichfelder, G.: Scalarizations for adaptively solving multi-objective optimization problems. Comput. Optim. Appl. 44, 249\u2013273 (2009)","journal-title":"Comput. Optim. Appl."},{"issue":"2","key":"9_CR12","doi-asserted-by":"publisher","first-page":"390","DOI":"10.1016\/j.ejor.2009.12.027","volume":"205","author":"J Figueira","year":"2010","unstructured":"Figueira, J., Liefooghe, A., Talbi, E., Wierzbicki, A.: A parallel multiple reference point approach for multi-objective optimization. Eur. J. Oper. Res. 205(2), 390\u2013400 (2010). https:\/\/doi.org\/10.1016\/j.ejor.2009.12.027","journal-title":"Eur. J. Oper. Res."},{"key":"9_CR13","doi-asserted-by":"publisher","unstructured":"Gergel, V.: An unified approach to use of coprocessors of various types for solving global optimization problems. In: 2nd International Conference on Mathematics and Computers in Sciences and in Industry, pp. 13\u201318 (2015). https:\/\/doi.org\/10.1109\/MCSI.2015.18","DOI":"10.1109\/MCSI.2015.18"},{"key":"9_CR14","doi-asserted-by":"publisher","unstructured":"Gergel, V.P., Kozinov, E.A.: Accelerating multicriterial optimization by the intensive exploitation of accumulated search data. In: AIP Conference Proceedings, vol. 1776, p. 090003 (2016). https:\/\/doi.org\/10.1063\/1.4965367","DOI":"10.1063\/1.4965367"},{"issue":"1","key":"9_CR15","doi-asserted-by":"publisher","first-page":"73","DOI":"10.1007\/s10898-018-0624-3","volume":"71","author":"V Gergel","year":"2018","unstructured":"Gergel, V., Kozinov, E.: Efficient multicriterial optimization based on intensive reuse of search information. J. Glob. Optim. 71(1), 73\u201390 (2018)","journal-title":"J. Glob. Optim."},{"key":"9_CR16","doi-asserted-by":"publisher","DOI":"10.1007\/s11590-020-01668-y","author":"V Gergel","year":"2020","unstructured":"Gergel, V., Kozinov, E., Barkalov, K.: Computationally efficient approach for solving lexicographic multicriteria optimization problems. Optim. Lett. (2020). https:\/\/doi.org\/10.1007\/s11590-020-01668-y","journal-title":"Optim. Lett."},{"key":"9_CR17","doi-asserted-by":"crossref","unstructured":"Zhigljavsky, A.A.: Theory of Global Random Search. Kluwer Academic Publishers, Dordrecht (1991)","DOI":"10.1007\/978-94-011-3436-1"},{"key":"9_CR18","unstructured":"Pint\u00e9r, J.D.: Global Optimization in Action (Continuous and Lipschitz Optimization: Algorithms, Implementations and Applications). Kluwer Academic Publishers, Dortrecht (1996)"},{"key":"9_CR19","unstructured":"Strongin, R., Sergeyev, Ya.: Global Optimization with Non-Convex Constraints. Sequential and Parallel Algorithms. Kluwer Academic Publishers, Dordrecht (2nd edn. 2013, 3rd edn. 2014)"},{"key":"9_CR20","unstructured":"Yang, X.-S.: Nature-inspired Metaheuristic Algorithms. Luniver Press, Frome (2008)"},{"key":"9_CR21","doi-asserted-by":"crossref","unstructured":"Locatelli, M., Schoen, F.: Global Optimization: Theory, Algorithms, and Applications. SIAM (2013)","DOI":"10.1137\/1.9781611972672"},{"key":"9_CR22","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-9093-7","volume-title":"Simplicial Global Optimization","author":"R Paulavi\u010dius","year":"2014","unstructured":"Paulavi\u010dius, R., \u017dilinskas, J.: Simplicial Global Optimization. Springer, New York (2014). https:\/\/doi.org\/10.1007\/978-1-4614-9093-7"},{"key":"9_CR23","volume-title":"Recent Advances in Global Optimization","author":"CA Floudas","year":"2016","unstructured":"Floudas, C.A., Pardalos, M.P.: Recent Advances in Global Optimization. Princeton University Press, Princeton (2016)"},{"key":"9_CR24","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4939-7199-2","volume-title":"Deterministic Global Optimization: An Introduction to the Diagonal Approach","author":"YD Sergeyev","year":"2017","unstructured":"Sergeyev, Y.D., Kvasov, D.E.: Deterministic Global Optimization: An Introduction to the Diagonal Approach. Springer, New York (2017). https:\/\/doi.org\/10.1007\/978-1-4939-7199-2"},{"key":"9_CR25","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-8042-6","volume-title":"Introduction to Global Optimization Exploiting Space-Filling Curves","author":"YD Sergeyev","year":"2013","unstructured":"Sergeyev, Y.D., Strongin, R.G., Lera, D.: Introduction to Global Optimization Exploiting Space-Filling Curves. Springer, New York (2013). https:\/\/doi.org\/10.1007\/978-1-4614-8042-6"},{"key":"9_CR26","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0041-5553(72)90115-2","volume":"12","author":"S Piyavskij","year":"1972","unstructured":"Piyavskij, S.: An algorithm for finding the absolute extremum of a function. Comput. Math. Math. Phys. 12, 57\u201367 (1972)","journal-title":"Comput. Math. Math. Phys."},{"key":"9_CR27","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1137\/0709036","volume":"9","author":"BO Shubert","year":"1972","unstructured":"Shubert, B.O.: A sequential method seeking the global maximum of a function. SIAM J. Numer. Anal. 9, 379\u2013388 (1972)","journal-title":"SIAM J. Numer. Anal."},{"key":"9_CR28","first-page":"1085","volume":"7","author":"RG Strongin","year":"1970","unstructured":"Strongin, R.G.: Multiextremal minimization. Autom. Remote. Control. 7, 1085\u20131088 (1970)","journal-title":"Autom. Remote. Control."},{"key":"9_CR29","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1016\/0022-247X(85)90268-9","volume":"112","author":"EA Galperin","year":"1985","unstructured":"Galperin, E.A.: The cubic algorithm. J. Math. Anal. Appl. 112, 635\u2013640 (1985)","journal-title":"J. Math. Anal. Appl."},{"key":"9_CR30","doi-asserted-by":"publisher","first-page":"179","DOI":"10.1007\/BF01581266","volume":"58","author":"L Breiman","year":"1993","unstructured":"Breiman, L., Cutler, A.: A deterministic algorithm for global optimization. Math. Program. 58, 179\u2013199 (1993)","journal-title":"Math. Program."},{"key":"9_CR31","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF01096533","volume":"4","author":"W Baritompa","year":"1994","unstructured":"Baritompa, W.: Accelerations for a variety of global optimization methods. J. Glob. Optim. 4, 37\u201345 (1994)","journal-title":"J. Glob. Optim."},{"issue":"6","key":"9_CR32","first-page":"729","volume":"36","author":"VP Gergel","year":"1996","unstructured":"Gergel, V.P.: A method of using derivatives in the minimization of multiextremum functions. Comput. Math. Math. Phys. 36(6), 729\u2013742 (1996)","journal-title":"Comput. Math. Math. Phys."},{"key":"9_CR33","first-page":"127","volume":"81","author":"YD Sergeyev","year":"1998","unstructured":"Sergeyev, Y.D.: Global one-dimensional optimization using smooth auxiliary functions. Math. Program. 81, 127\u2013146 (1998)","journal-title":"Math. Program."},{"key":"9_CR34","doi-asserted-by":"crossref","unstructured":"Sergeyev, Ya.D., Grishagin, V.A.: Sequential and parallel global optimization algorithms. Optim. Methods Softw. 3, 111\u2013124 (1994)","DOI":"10.1080\/10556789408805559"},{"issue":"4","key":"9_CR35","doi-asserted-by":"publisher","first-page":"858","DOI":"10.1137\/0805041","volume":"5","author":"YD Sergeyev","year":"1995","unstructured":"Sergeyev, Y.D.: An information global optimization algorithm with local tuning. SIAM J. Optim. 5(4), 858\u2013870 (1995)","journal-title":"SIAM J. Optim."},{"issue":"2","key":"9_CR36","first-page":"123","volume":"3","author":"YD Sergeyev","year":"2001","unstructured":"Sergeyev, Y.D., Grishagin, V.A.: Parallel asynchronous global search and the nested optimization scheme. J. Comput. Anal. Appl. 3(2), 123\u2013145 (2001)","journal-title":"J. Comput. Anal. Appl."},{"key":"9_CR37","doi-asserted-by":"crossref","unstructured":"Lera, D., Sergeyev, Ya.D.: Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants. Commun. Nonlinear Sci. Numer. Simul. 23, 328\u2013342 (2015)","DOI":"10.1016\/j.cnsns.2014.11.015"},{"key":"9_CR38","doi-asserted-by":"crossref","unstructured":"Grishagin, V., Israfilov, R., Sergeyev, Y.: Comparative efficiency of dimensionality reduction schemes in global optimization. In: AIP Conference Proceedings, vol. 1776 (2016)","DOI":"10.1063\/1.4965345"},{"issue":"1","key":"9_CR39","doi-asserted-by":"publisher","first-page":"47","DOI":"10.3934\/naco.2018003","volume":"8","author":"V Gergel","year":"2018","unstructured":"Gergel, V., Barkalov, K., Sysoyev, A.: Globalizer: a novel supercomputer software system for solving time-consuming global optimization problem. Numer. Algebra Control Opt. 8(1), 47\u201362 (2018)","journal-title":"Numer. Algebra Control Opt."},{"issue":"1\u20133","key":"9_CR40","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/j.cnsns.2014.08.025","volume":"21","author":"A \u017dilinskas","year":"2015","unstructured":"\u017dilinskas, A., Zilinskas, J.: Adaptation of a one-step worst-case optimal univariate algorithm of bi-objective Lipschitz optimization to multidimensional problems. Commun. Nonlinear Sci. Numer. Simul. 21(1\u20133), 89\u201398 (2015). https:\/\/doi.org\/10.1016\/j.cnsns.2014.08.025","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"9_CR41","doi-asserted-by":"publisher","unstructured":"Evtushenko, Y., Posypkin, M.: A deterministic algorithm for global multiobjective optimization. Optim. Methods Softw. 29(5), 1005\u20131019 (2014) https:\/\/doi.org\/10.1080\/10556788.2013.854357","DOI":"10.1080\/10556788.2013.854357"},{"issue":"6","key":"9_CR42","doi-asserted-by":"publisher","first-page":"1025","DOI":"10.1134\/S0005117914060046","volume":"75","author":"Y Evtushenko","year":"2014","unstructured":"Evtushenko, Y., Posypkin, M.: Method of non-uniform coverages to solve the multicriteria optimization problems with guaranteed accuracy. Autom. Remote Control 75(6), 1025\u20131040 (2014)","journal-title":"Autom. Remote Control"},{"key":"9_CR43","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"494","DOI":"10.1007\/3-540-36970-8_35","volume-title":"Evolutionary Multi-Criterion Optimization","author":"S Bleuler","year":"2003","unstructured":"Bleuler, S., Laumanns, M., Thiele, L., Zitzler, E.: PISA\u2014a platform and programming language independent interface for search algorithms. In: Fonseca, C.M., Fleming, P.J., Zitzler, E., Thiele, L., Deb, K. (eds.) EMO 2003. LNCS, vol. 2632, pp. 494\u2013508. Springer, Heidelberg (2003). https:\/\/doi.org\/10.1007\/3-540-36970-8_35"},{"key":"9_CR44","doi-asserted-by":"crossref","unstructured":"Gaviano, M., Kvasov, D.E., Lera, D., Sergeyev, Ya.D.: Software for generation of classes of test functions with known local and global minima for global optimization. ACM Trans. Math. Softw. 29(4), 469\u2013480 (2003)","DOI":"10.1145\/962437.962444"}],"container-title":["Lecture Notes in Computer Science","Mathematical Optimization Theory and Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-77876-7_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,6,13]],"date-time":"2021-06-13T23:04:30Z","timestamp":1623625470000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-77876-7_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"ISBN":["9783030778750","9783030778767"],"references-count":44,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-77876-7_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"14 June 2021","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"MOTOR","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Mathematical Optimization Theory and Operations Research","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Irkutsk","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Russia","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2021","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"5 July 2021","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 July 2021","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"20","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"motor2021","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/conference.icc.ru\/e\/motor2021","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"102","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"29","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"1","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"28% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3,4","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"2,5","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}