{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T19:11:40Z","timestamp":1698693100363},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2010,1,7]],"date-time":"2010-01-07T00:00:00Z","timestamp":1262822400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2010,12]]},"DOI":"10.1007\/s10898-009-9506-z","type":"journal-article","created":{"date-parts":[[2010,1,6]],"date-time":"2010-01-06T04:03:04Z","timestamp":1262750584000},"page":"583-593","source":"Crossref","is-referenced-by-count":5,"title":["Piece adding technique for convex maximization problems"],"prefix":"10.1007","volume":"48","author":[{"given":"Dominique","family":"Fortin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ider","family":"Tseveendorj","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2010,1,7]]},"reference":[{"key":"9506_CR1","first-page":"19","volume":"7","author":"Ch. Altannar","year":"2003","unstructured":"Altannar Ch., Barsbold B., Enkhbat R.: A global method for solving the convex quadratic maximization problem. Mong. Math. J. 7, 19\u201327 (2003)","journal-title":"Mong. Math. J."},{"issue":"2","key":"9506_CR2","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s10898-006-9065-5","volume":"38","author":"C. Audet","year":"2007","unstructured":"Audet C., Hansen P., Messine F.: Extremal problems for convex polygons. J. Global Optim. 38(2), 163\u2013179 (2007)","journal-title":"J. Global Optim."},{"key":"9506_CR3","doi-asserted-by":"crossref","unstructured":"Benson, H.P.: Concave minimization: theory, applications and algorithms. In: Handbook of Global Optimization. Kluwer Academic, Dordrecht\/Boston\/London (1995)","DOI":"10.1007\/978-1-4615-2025-2_3"},{"key":"9506_CR4","unstructured":"Bulatov, V.P., Kasinskaya, L.I.: Some methods of minimization of a concave function on a convex polyhedron and their application. In: Methods of Optimization and their Applications, pp. 71\u201380. \u201cNauka\u201d Sibirsk. Otdel., Novosibirsk (1982)"},{"key":"9506_CR5","unstructured":"Bulatov, V.P.: Metody pogruzheniya v zadachakh optimizatsii. Izdat. \u201cNauka\u201d Sibirsk. Otdel., Novosibirsk (1977)."},{"issue":"7","key":"9506_CR6","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/0167-6377(91)90042-N","volume":"10","author":"P.-C. Chen","year":"1991","unstructured":"Chen P.-C., Hansen P., Jaumard B.: On-line and off-line vertex enumeration by adjacency lists. Oper. Res. Lett. 10(7), 403\u2013409 (1991)","journal-title":"Oper. Res. Lett."},{"issue":"4","key":"9506_CR7","first-page":"529","volume":"20","author":"A. Chinchuluun","year":"2005","unstructured":"Chinchuluun A., Rentsen E., Pardalos P.M.: A note on the maximization of strongly convex functions. Int. J. Pure Appl. Math. 20(4), 529\u2013538 (2005)","journal-title":"Int. J. Pure Appl. Math."},{"key":"9506_CR8","doi-asserted-by":"crossref","unstructured":"Chinchuluun, A., Rentsen, E., Pardalos, P.M.: A numerical method for concave programming problems. In: Continuous Optimization, vol. 99 of Appl. Optim., pp. 251\u2013273. Springer, New York (2005)","DOI":"10.1007\/0-387-26771-9_8"},{"issue":"2","key":"9506_CR9","doi-asserted-by":"crossref","first-page":"637","DOI":"10.1006\/jmaa.1997.5745","volume":"217","author":"M. D\u00fcr","year":"1998","unstructured":"D\u00fcr M., Horst R., Locatelli M.: Necessary and sufficient global optimality conditions for convex maximization revisited. J. Math. Anal. Appl. 217(2), 637\u2013649 (1998)","journal-title":"J. Math. Anal. Appl."},{"issue":"1","key":"9506_CR10","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/s10898-005-3271-4","volume":"35","author":"R. Enkhbat","year":"2006","unstructured":"Enkhbat R., Barsbold B., Kamada M.: A numerical approach for solving some convex maximization problems. J. Global Optim. 35(1), 85\u2013101 (2006)","journal-title":"J. Global Optim."},{"issue":"4","key":"9506_CR11","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/BF02403999","volume":"8","author":"R. Enhbat","year":"1996","unstructured":"Enhbat R.: An algorithm for maximizing a convex function over a simple set. J. Global Optim. 8(4), 379\u2013391 (1996)","journal-title":"J. Global Optim."},{"key":"9506_CR12","unstructured":"Enkhbat, R.: Algorithm for global maximization of convex functions over sets of special structures. Ph.D. thesis, Irkutsk State University (1991)"},{"key":"9506_CR13","doi-asserted-by":"crossref","DOI":"10.1007\/3-540-53032-0","volume-title":"A Collection of Test Problems for Constrained Global Optimization Algorithms, vol. 455 of Lecture Notes in Computer Science","author":"C.A. Floudas","year":"1990","unstructured":"Floudas C.A., Pardalos P.M.: A Collection of Test Problems for Constrained Global Optimization Algorithms, vol. 455 of Lecture Notes in Computer Science. Springer, Berlin (1990)"},{"key":"9506_CR14","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4757-3040-1","volume-title":"Handbook of Test Problems in Local and Global Optimization, vol. 33 of Nonconvex Optimization and its Applications","author":"C.A. Floudas","year":"1999","unstructured":"Floudas C.A., Pardalos P.M., Adjiman C.S., Esposito W.R., G\u00fcm\u00fc\u015f Z.H., Harding S.T., Klepeis J.L., Meyer C.A., Schweiger C.A.: Handbook of Test Problems in Local and Global Optimization, vol. 33 of Nonconvex Optimization and its Applications. Kluwer Academic, Dordrecht (1999)"},{"issue":"1","key":"9506_CR15","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1023\/A:1016221931922","volume":"24","author":"D. Fortin","year":"2002","unstructured":"Fortin D., Tsevendorj I.: Piecewise-convex maximization problems: algorithm and computational experiments. J. Global Optim. 24(1), 61\u201377 (2002)","journal-title":"J. Global Optim."},{"issue":"7","key":"9506_CR16","doi-asserted-by":"crossref","first-page":"883","DOI":"10.1080\/02331930902945033","volume":"58","author":"D. Fortin","year":"2009","unstructured":"Fortin D., Tseveendorj I.: Piecewise-convex maximization approach to multiknapsack. Optimization 58(7), 883\u2013895 (2009)","journal-title":"Optimization"},{"key":"9506_CR17","volume-title":"Introduction to Global Optimization, vol. 3 of Nonconvex Optimization and its Applications","author":"R. Horst","year":"1995","unstructured":"Horst R., Pardalos P.M., Thoai N.V.: Introduction to Global Optimization, vol. 3 of Nonconvex Optimization and its Applications. Kluwer Academic, Dordrecht (1995)"},{"key":"9506_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-02947-3","volume-title":"Global Optimization","author":"R. Horst","year":"1993","unstructured":"Horst R., Hoang T.: Global Optimization, 2nd edn. Springer, Berlin (1993) Deterministic approaches","edition":"2"},{"key":"9506_CR19","doi-asserted-by":"crossref","unstructured":"Hiriart-Urruty, J.-B.: Conditions for Global Optimality. In: Handbook of Global Optimization, vol. 2 of Nonconvex Optim. Appl., pp. 1\u201326. Kluwer Academic, Dordrecht (1995)","DOI":"10.1007\/978-1-4615-2025-2_1"},{"issue":"1","key":"9506_CR20","first-page":"55","volume":"3","author":"J.-B. Hiriart-Urruty","year":"1996","unstructured":"Hiriart-Urruty J.-B., Ledyaev Y.S.: A note on the characterization of the global maxima of a (tangentially) convex function over a convex set. J. Convex Anal. 3(1), 55\u201361 (1996)","journal-title":"J. Convex Anal."},{"issue":"4","key":"9506_CR21","doi-asserted-by":"crossref","first-page":"415","DOI":"10.1023\/A:1008277314050","volume":"12","author":"A.S. Strekalovsky","year":"1998","unstructured":"Strekalovsky A.S.: Global optimality conditions for nonconvex optimization. J. Global Optim. 12(4), 415\u2013434 (1998)","journal-title":"J. Global Optim."},{"key":"9506_CR22","volume-title":"Elements of Nonconvex Optimization (in russian)","author":"A.S. Strekalovskii","year":"2003","unstructured":"Strekalovskii A.S.: Elements of Nonconvex Optimization (in russian). NAUKA, Novosibirsk (2003)"},{"key":"9506_CR23","first-page":"58","volume":"2","author":"I. Tsevendorj","year":"1998","unstructured":"Tsevendorj I.: On the conditions for global optimality. J. Mong. Math. Soc. 2, 58\u201361 (1998)","journal-title":"J. Mong. Math. Soc."},{"issue":"1","key":"9506_CR24","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1017979506314","volume":"21","author":"I. Tsevendorj","year":"2001","unstructured":"Tsevendorj I.: Piecewise-convex maximization problems: global optimality conditions. J. Global Optim. 21(1), 1\u201314 (2001)","journal-title":"J. Global Optim."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-009-9506-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-009-9506-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-009-9506-z","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T00:58:55Z","timestamp":1559264335000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-009-9506-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,1,7]]},"references-count":24,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2010,12]]}},"alternative-id":["9506"],"URL":"https:\/\/doi.org\/10.1007\/s10898-009-9506-z","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,1,7]]}}}