{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T11:12:39Z","timestamp":1743073959902,"version":"3.40.3"},"publisher-location":"Cham","reference-count":28,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030218027"},{"type":"electronic","value":"9783030218034"}],"license":[{"start":{"date-parts":[[2019,6,15]],"date-time":"2019-06-15T00:00:00Z","timestamp":1560556800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-21803-4_62","type":"book-chapter","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T22:03:24Z","timestamp":1560549804000},"page":"617-626","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Analytics-Based Decomposition of a Class of Bilevel Problems"],"prefix":"10.1007","author":[{"given":"Adejuyigbe","family":"Fajemisin","sequence":"first","affiliation":[]},{"given":"Laura","family":"Climent","sequence":"additional","affiliation":[]},{"given":"Steven D.","family":"Prestwich","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,15]]},"reference":[{"key":"62_CR1","doi-asserted-by":"crossref","unstructured":"de\u00a0Amorim, R., Fenner, T.: Weighting Features for Partition Around Medoids Using the Minkowski Metric, pp. 35\u201344. Springer, Heidelberg (2012)","DOI":"10.1007\/978-3-642-34156-4_5"},{"key":"62_CR2","unstructured":"Angelo, J., Barbosa, H.: Differential evolution to find Stackelberg-Nash equilibrium in bilevel problems with multiple followers. In: IEEE Congress on Evolutionary Computation, CEC 2015, Sendai, Japan, May 25\u201328, 2015, pp. 1675\u20131682 (2015)"},{"issue":"1","key":"62_CR3","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1007\/BF01580720","volume":"40","author":"J Bard","year":"1988","unstructured":"Bard, J.: Convex two-level optimization. Math. Program. 40(1), 15\u201327 (1988)","journal-title":"Math. Program."},{"issue":"3","key":"62_CR4","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1007\/s10898-007-9144-2","volume":"39","author":"H Calvete","year":"2007","unstructured":"Calvete, H., Gal\u00e9, C.: Linear bilevel multi-follower programming with independent followers. J. Glob. Optim. 39(3), 409\u2013417 (2007)","journal-title":"J. Glob. Optim."},{"issue":"1","key":"62_CR5","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/s10479-007-0176-2","volume":"153","author":"B Colson","year":"2007","unstructured":"Colson, B., Marcotte, P., Savard, G.: An overview of bilevel optimization. Ann. Oper. Res. 153(1), 235\u2013256 (2007)","journal-title":"Ann. Oper. Res."},{"issue":"2\u20134","key":"62_CR6","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/S0045-7825(99)00389-8","volume":"186","author":"K Deb","year":"2000","unstructured":"Deb, K.: An efficient constraint handling method for genetic algorithms. Comput. Methods Appl. Mech. Eng. 186(2\u20134), 311\u2013338 (2000)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"issue":"5","key":"62_CR7","doi-asserted-by":"crossref","first-page":"1220","DOI":"10.1287\/opre.1080.0686","volume":"57","author":"V DeMiguel","year":"2009","unstructured":"DeMiguel, V., Xu, H.: A stochastic multiple-leader Stackelberg model: analysis, computation, and application. Oper. Res. 57(5), 1220\u20131235 (2009)","journal-title":"Oper. Res."},{"key":"62_CR8","unstructured":"IBM: User\u2019s manual of IBM CPLEX optimizer for z\/OS: what is an indicator constraint? (2017). https:\/\/ibmco\/2ErnDyn"},{"key":"62_CR9","unstructured":"Islam, M., Singh, H., Ray, T.: A memetic algorithm for solving bilevel optimization problems with multiple followers. In: IEEE Congress on Evolutionary Computation, CEC 2016, Vancouver, BC, Canada, July 24\u201329, 2016, pp. 1901\u20131908 (2016)"},{"key":"62_CR10","unstructured":"Kaufman, L., Rousseeuw, P.: Finding Groups in Data: An Introduction to Cluster Analysis, vol. 344. Wiley (2009)"},{"issue":"7","key":"62_CR11","doi-asserted-by":"crossref","first-page":"79","DOI":"10.1016\/S0898-1221(98)00174-6","volume":"36","author":"B Liu","year":"1998","unstructured":"Liu, B.: Stackelberg-Nash equilibrium for multilevel programming with multiple followers using genetic algorithms. Comput. Math. Appl. 36(7), 79\u201389 (1998)","journal-title":"Comput. Math. Appl."},{"key":"62_CR12","unstructured":"Lu, J., Han, J., Hu, Y., Zhang, G.: Multilevel decision-making: a survey. Inf. Sci. 346\u2013347(Supplement C), 463 \u2013 487 (2016). \n                    https:\/\/doi.org\/10.1016\/j.ins.2016.01.084\n                    \n                  , \n                    http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0020025516300202"},{"issue":"11","key":"62_CR13","doi-asserted-by":"crossref","first-page":"1607","DOI":"10.1016\/j.ins.2005.04.010","volume":"176","author":"J Lu","year":"2006","unstructured":"Lu, J., Shi, C., Zhang, G.: On bilevel multi-follower decision making: general framework and solutions. Inf. Sci. 176(11), 1607\u20131627 (2006)","journal-title":"Inf. Sci."},{"issue":"4","key":"62_CR14","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1007\/s10898-006-9098-9","volume":"38","author":"J Lu","year":"2007","unstructured":"Lu, J., Shi, C., Zhang, G., Dillon, T.: Model and extended Kuhn-Tucker approach for bilevel multi-follower decision making in a referential-uncooperative situation. J. Glob. Optim. 38(4), 597\u2013608 (2007)","journal-title":"J. Glob. Optim."},{"key":"62_CR15","unstructured":"Lu, J., Shi, C., Zhang, G., Ruan, D.: Multi-follower linear bilevel programming: model and Kuhn-Tucker approach. In: AC 2005, Proceedings of the IADIS International Conference on Applied Computing, Algarve, Portugal, February 22\u201325, 2005, vol. 2, pp. 81\u201388 (2005)"},{"issue":"2","key":"62_CR16","doi-asserted-by":"crossref","first-page":"371","DOI":"10.1142\/S0219622007002459","volume":"6","author":"J Lu","year":"2007","unstructured":"Lu, J., Shi, C., Zhang, G., Ruan, D.: An extended branch and bound algorithm for bilevel multi-follower decision making in a referential-uncooperative situation. Int. J. Inf. Technol. Decis. Mak. 6(2), 371\u2013388 (2007)","journal-title":"Int. J. Inf. Technol. Decis. Mak."},{"key":"62_CR17","unstructured":"Maechler, M., Rousseeuw, P., Struyf, A., Hubert, M., Hornik, K.: cluster: Cluster Analysis Basics and Extensions (2017). R package version 2.0.6\u2014for new features, see the \u2018Changelog\u2019 file (in the package source)"},{"key":"62_CR18","doi-asserted-by":"publisher","unstructured":"Marsaglia, G.: Choosing a point from the surface of a sphere. Ann. Math. Statist. 43(2), 645\u2013646 (1972). \n                    https:\/\/doi.org\/10.1214\/aoms\/1177692644","DOI":"10.1214\/aoms\/1177692644"},{"issue":"4","key":"62_CR19","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1145\/377939.377946","volume":"2","author":"M Muller","year":"1959","unstructured":"Muller, M.: A note on a method for generating points uniformly on n-dimensional spheres. Commun. ACM 2(4), 19\u201320 (1959)","journal-title":"Commun. ACM"},{"key":"62_CR20","doi-asserted-by":"crossref","unstructured":"Prestwich, S., Fajemisin, A., Climent, L., O\u2019Sullivan, B.: Solving a Hard Cutting Stock Problem by Machine Learning and Optimisation, pp. 335\u2013347. Springer International Publishing, Cham (2015)","DOI":"10.1007\/978-3-319-23528-8_21"},{"key":"62_CR21","unstructured":"Ramos, M., Boix, M., Aussel, D., Montastruc, L., Domenech, S.: Water integration in eco-industrial parks using a multi-leader-follower approach. Comput. Chem. Eng. 87(Supplement C), 190\u2013207 (2016).\n                    https:\/\/doi.org\/10.1016\/j.compchemeng.2016.01.005\n                    \n                  , \n                    http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0098135416000089"},{"key":"62_CR22","unstructured":"Shi, C., Lu, J., Zhang, G., Zhou, H.: An extended Kuhn-Tucker approach for linear bilevel multifollower programming with partial shared variables among followers. In: Proceedings of the IEEE International Conference on Systems, Man and Cybernetics, Waikoloa, Hawaii, USA, October 10\u201312, 2005, pp. 3350\u20133357 (2005)"},{"issue":"4","key":"62_CR23","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/s10898-004-7739-4","volume":"33","author":"C Shi","year":"2005","unstructured":"Shi, C., Zhang, G., Lu, J.: The Kth-best approach for linear bilevel multi-follower programming. J. Glob. Optim. 33(4), 563\u2013578 (2005)","journal-title":"J. Glob. Optim."},{"issue":"2","key":"62_CR24","first-page":"1686","volume":"188","author":"C Shi","year":"2007","unstructured":"Shi, C., Zhou, H., Lu, J., Zhang, G., Zhang, Z.: The Kth-best approach for linear bilevel multifollower programming with partial shared variables among followers. Appl. Math. Comput. 188(2), 1686\u20131698 (2007)","journal-title":"Appl. Math. Comput."},{"key":"62_CR25","doi-asserted-by":"crossref","first-page":"374","DOI":"10.1016\/j.cor.2013.07.010","volume":"41","author":"A Sinha","year":"2014","unstructured":"Sinha, A., Malo, P., Frantsev, A., Deb, K.: Finding optimal strategies in a multi-period multi-leader-follower Stackelberg game using an evolutionary algorithm. Comput. Oper. Res. 41, 374\u2013385 (2014)","journal-title":"Comput. Oper. Res."},{"key":"62_CR26","unstructured":"Wei, C.P., Lee, Y.H., Hsu, C.M.: Empirical comparison of fast clustering algorithms for large data sets. In: Proceedings of the 33rd Annual Hawaii International Conference on System Sciences, pp. 10-pp. IEEE (2000)"},{"issue":"3","key":"62_CR27","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1007\/s10898-008-9365-z","volume":"47","author":"G Zhang","year":"2010","unstructured":"Zhang, G., Lu, J.: Fuzzy bilevel programming with multiple objectives and cooperative multiple followers. J. Glob. Optim. 47(3), 403\u2013419 (2010)","journal-title":"J. Glob. Optim."},{"issue":"3","key":"62_CR28","first-page":"205","volume":"1","author":"G Zhang","year":"2008","unstructured":"Zhang, G., Shi, C., Lu, J.: An extended Kth-best approach for referential-uncooperative bilevel multi-follower decision making. Int. J. Comput. Intell. Syst. 1(3), 205\u2013214 (2008)","journal-title":"Int. J. Comput. Intell. Syst."}],"container-title":["Advances in Intelligent Systems and Computing","Optimization of Complex Systems: Theory, Models, Algorithms and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-21803-4_62","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T05:53:46Z","timestamp":1572587626000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21803-4_62"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,15]]},"ISBN":["9783030218027","9783030218034"],"references-count":28,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21803-4_62","relation":{},"ISSN":["2194-5357","2194-5365"],"issn-type":[{"type":"print","value":"2194-5357"},{"type":"electronic","value":"2194-5365"}],"subject":[],"published":{"date-parts":[[2019,6,15]]},"assertion":[{"value":"15 June 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WCGO","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"World Congress on Global Optimization","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Metz","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8 July 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"10 July 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"wcgo2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}