{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,1]],"date-time":"2024-04-01T11:51:45Z","timestamp":1711972305813},"reference-count":14,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2014,11,18]],"date-time":"2014-11-18T00:00:00Z","timestamp":1416268800000},"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":["J Optim Theory Appl"],"published-print":{"date-parts":[[2015,11]]},"DOI":"10.1007\/s10957-014-0681-9","type":"journal-article","created":{"date-parts":[[2014,11,21]],"date-time":"2014-11-21T09:20:28Z","timestamp":1416561628000},"page":"558-584","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["A Trust Region Method for the Solution of the Surrogate Dual in Integer Programming"],"prefix":"10.1007","volume":"167","author":[{"given":"N.","family":"Boland","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. C.","family":"Eberhard","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Tsoukalas","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,11,18]]},"reference":[{"key":"681_CR1","doi-asserted-by":"crossref","first-page":"924","DOI":"10.1287\/opre.18.5.924","volume":"18","author":"HJ Greenberg","year":"1970","unstructured":"Greenberg, H.J., Pierskalla, W.P.: Surrogate mathematical programming. Oper. Res. 18, 924\u2013939 (1970)","journal-title":"Oper. Res."},{"key":"681_CR2","doi-asserted-by":"crossref","first-page":"52","DOI":"10.1287\/opre.32.1.52","volume":"32","author":"M Karwan","year":"1984","unstructured":"Karwan, M., Rardin, R.: Surrogate dual multiplier search procedures in integer programming. Oper. Res. 32, 52\u201369 (1984)","journal-title":"Oper. Res."},{"key":"681_CR3","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1007\/BF01588253","volume":"17","author":"M Karwan","year":"1979","unstructured":"Karwan, M., Rardin, R.: Some relationships between Lagrangian and surrogate duality in integer programming. Math. Progr. 17, 320\u2013334 (1979)","journal-title":"Math. Progr."},{"key":"681_CR4","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1023\/A:1022622231801","volume":"96","author":"S-L Kim","year":"1998","unstructured":"Kim, S.-L., Kim, S.: Exact algorithm for the surrogate dual of an integer programming problem: subgradient method approach. J. Optim. Theory Appl. 96, 363\u2013375 (1998)","journal-title":"J. Optim. Theory Appl."},{"key":"681_CR5","doi-asserted-by":"crossref","first-page":"326","DOI":"10.1016\/0377-2217(88)90176-2","volume":"33","author":"S Sarin","year":"1988","unstructured":"Sarin, S., Karwan, M., Rardin, R.: Surrogate duality in a branch-and-bound procedure for integer programming. Euro. J. Oper. Res. 33, 326\u2013333 (1988)","journal-title":"Euro. J. Oper. Res."},{"key":"681_CR6","unstructured":"Li, D., Sun, X.: Nonlinear Integer Programming. International Series in Operations Research & Management, Springer (2006)"},{"key":"681_CR7","doi-asserted-by":"crossref","first-page":"555","DOI":"10.1007\/978-1-4614-7621-4_26","volume":"50","author":"D Noll","year":"2013","unstructured":"Noll, D.: Bundle method for non-convex minimization with inexact subgradients and function values. Comput. Anal. Math. 50, 555\u2013592 (2013)","journal-title":"Comput. Anal. Math."},{"key":"681_CR8","doi-asserted-by":"crossref","first-page":"207","DOI":"10.1023\/A:1021858008222","volume":"24","author":"J Linderoth","year":"2003","unstructured":"Linderoth, J., Wright, S.: Decomposition algorithms for stochastic programming on a computational grid. Comput. Opt. Appl. 24, 207\u2013250 (2003)","journal-title":"Comput. Opt. Appl."},{"key":"681_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-06409-2","volume-title":"Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 306","author":"J-B Hiriart-Urruty","year":"1993","unstructured":"Hiriart-Urruty, J.-B., Lemar\u00e9chal, C.: Convex Analysis and Minimization Algorithms II: Advanced Theory and Bundle Methods. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences] 306. Springer-Verlag, Berlin (1993)"},{"key":"681_CR10","unstructured":"Boland N, Eberhard A, Tsoukalas A (2014) A trust region method for the solution of the surrogate dual in integer programming. Optim. Online. http:\/\/www.optimization-online.org\/DB_HTML\/2014\/02\/4249.html"},{"key":"681_CR11","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1137\/S1052623498342186","volume":"13","author":"A Frangioni","year":"2002","unstructured":"Frangioni, A.: Generalized bundle methods. SIAM J. Optim. 13, 117\u2013156 (2002)","journal-title":"SIAM J. Optim."},{"key":"681_CR12","unstructured":"https:\/\/www-user.tu-chemnitz.de\/~helmberg\/ConicBundle\/"},{"key":"681_CR13","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.cor.2009.04.006","volume":"37","author":"B Han","year":"2010","unstructured":"Han, B., Leblet, J., Simon, G.: Hard multidimensional multiple choice knapsack problems: an empirical study. Comput. Oper. Res. 37, 172\u2013181 (2010)","journal-title":"Comput. Oper. Res."},{"key":"681_CR14","series-title":"A series of comprehensive studies in mathematics","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"RT Rockafellar","year":"1998","unstructured":"Rockafellar, R.T., Wets, R.J.-B.: Variational Analysis. A series of comprehensive studies in mathematics. Springer, Berlin (1998)"}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-014-0681-9.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-014-0681-9\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-014-0681-9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:58:41Z","timestamp":1559455121000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-014-0681-9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11,18]]},"references-count":14,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2015,11]]}},"alternative-id":["681"],"URL":"https:\/\/doi.org\/10.1007\/s10957-014-0681-9","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11,18]]}}}