{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T17:18:06Z","timestamp":1743095886037,"version":"3.40.3"},"publisher-location":"Cham","reference-count":9,"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_69","type":"book-chapter","created":{"date-parts":[[2019,6,14]],"date-time":"2019-06-14T22:03:24Z","timestamp":1560549804000},"page":"691-701","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Tropical Analogues of a Dempe-Franke Bilevel Optimization Problem"],"prefix":"10.1007","author":[{"given":"Serge\u012d","family":"Sergeev","sequence":"first","affiliation":[]},{"given":"Zhengliang","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,6,15]]},"reference":[{"issue":"2","key":"69_CR1","doi-asserted-by":"crossref","first-page":"751","DOI":"10.1137\/130936464","volume":"29","author":"X Allamigeon","year":"2015","unstructured":"Allamigeon, X., Benchimol, P., Gaubert, S., Joswig, M.: Tropicalizing the simplex algorithm. SIAM J. Discrete Math. 29(2), 751\u2013795 (2015)","journal-title":"SIAM J. Discrete Math."},{"key":"69_CR2","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1007\/s00454-012-9469-6","volume":"49","author":"X Allamigeon","year":"2013","unstructured":"Allamigeon, X., Gaubert, S., Goubault, \u00c9.: Computing the vertices of tropical polyhedra using directed hypergraphs. Discrete Comput. Geom. 49, 247\u2013279 (2013)","journal-title":"Discrete Comput. Geom."},{"key":"69_CR3","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84996-299-5","volume-title":"Max-linear Systems: Theory and Algorithms","author":"P Butkovi\u010d","year":"2010","unstructured":"Butkovi\u010d, P.: Max-linear Systems: Theory and Algorithms. Springer, London (2010)"},{"key":"69_CR4","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/j.cor.2012.09.002","volume":"41","author":"S Dempe","year":"2014","unstructured":"Dempe, S., Franke, S.: Solution algorithm for an optimistic linear Stackelberg problem. Comput. Oper. Res. 41, 277\u2013281 (2014)","journal-title":"Comput. Oper. Res."},{"issue":"4","key":"69_CR5","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/S0167-6377(02)00159-1","volume":"30","author":"B Schutter De","year":"2002","unstructured":"De Schutter, B., Heemels, W.P.M.H., Bemporad, A.: On the equivalence of linear complementarity problems. Oper. Res. Lett. 30(4), 211\u2013222 (2002)","journal-title":"Oper. Res. Lett."},{"key":"69_CR6","doi-asserted-by":"crossref","unstructured":"De Schutter, B., Heemels, W.P.M.H., Bemporad, A.: Max-plus-algebraic problems and the extended linear complementarity problem\u2013algorithmic aspects. In: Proceedings of the 15th IFAC World Congress. Barcelona, Spain (2002)","DOI":"10.3182\/20020721-6-ES-1901.00513"},{"issue":"12","key":"69_CR7","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1016\/j.jsc.2011.12.049","volume":"47","author":"S Gaubert","year":"2012","unstructured":"Gaubert, S., Katz, R.D., Sergeev, S.: Tropical linear-fractional programming and parametric mean-payoff games. J. Symb. Comput. 47(12), 1447\u20131478 (2012)","journal-title":"J. Symb. Comput."},{"issue":"1","key":"69_CR8","first-page":"157","volume":"29","author":"S Helbig","year":"1988","unstructured":"Helbig, S.: On Carath\u00e9odory\u2019s and Krein-Milman\u2019s theorems in fully ordered groups. Comment. Math. Univ. Carolin. 29(1), 157\u2013167 (1988)","journal-title":"Comment. Math. Univ. Carolin."},{"key":"69_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1098-6","volume-title":"Computational Geometry: An Introduction","author":"FP Preparata","year":"1985","unstructured":"Preparata, F.P., Shamos, M.I.: Computational Geometry: An Introduction. Springer, New York (1985)"}],"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_69","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,11,1]],"date-time":"2019-11-01T05:51:47Z","timestamp":1572587507000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-21803-4_69"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,6,15]]},"ISBN":["9783030218027","9783030218034"],"references-count":9,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-21803-4_69","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"}}]}}