{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,16]],"date-time":"2026-02-16T09:51:22Z","timestamp":1771235482782,"version":"3.50.1"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2013,8,3]],"date-time":"2013-08-03T00:00:00Z","timestamp":1375488000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Prog. Comp."],"published-print":{"date-parts":[[2013,12]]},"DOI":"10.1007\/s12532-013-0057-4","type":"journal-article","created":{"date-parts":[[2013,8,2]],"date-time":"2013-08-02T05:44:04Z","timestamp":1375422244000},"page":"345-395","source":"Crossref","is-referenced-by-count":9,"title":["On the safety of Gomory cut generators"],"prefix":"10.1007","volume":"5","author":[{"given":"G\u00e9rard","family":"Cornu\u00e9jols","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fran\u00e7ois","family":"Margot","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giacomo","family":"Nannicini","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,8,3]]},"reference":[{"issue":"1","key":"57_CR1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s12532-008-0001-1","volume":"1","author":"T Achterberg","year":"2009","unstructured":"Achterberg, T.: SCIP: solving constraint integer programs. Math. Program. Comput. 1(1), 1\u201341 (2009)","journal-title":"Math. Program. Comput."},{"issue":"4","key":"57_CR2","doi-asserted-by":"crossref","first-page":"361","DOI":"10.1016\/j.orl.2005.07.009","volume":"34","author":"T Achterberg","year":"2006","unstructured":"Achterberg, T., Koch, T., Martin, A.: MIPLIB 2003. Oper. Res. Lett. 34(4), 361\u2013372 (2006)","journal-title":"Oper. Res. Lett."},{"key":"57_CR3","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1007\/s00453-008-9211-1","volume":"57","author":"N Ailon","year":"2010","unstructured":"Ailon, N.: Aggregation of partial rankings, $$p$$ p -ratings and top- $$m$$ m lists. Algorithmica 57, 284\u2013300 (2010)","journal-title":"Algorithmica"},{"issue":"6","key":"57_CR4","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1016\/j.orl.2006.12.010","volume":"35","author":"DL Applegate","year":"2007","unstructured":"Applegate, D.L., Cook, W., Dash, S., Espinoza, D.G.: Exact solutions to linear programming problems. Oper. Res. Lett. 35(6), 693\u2013699 (2007)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"57_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-6377(96)00007-7","volume":"19","author":"E Balas","year":"1996","unstructured":"Balas, E., Ceria, S., Cornu\u00e9jols, G., Natraj, N.: Gomory cuts revisited. Oper. Res. Lett. 19(1), 1\u20139 (1996)","journal-title":"Oper. Res. Lett."},{"issue":"1","key":"57_CR6","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s10479-006-0091-y","volume":"149","author":"R Bixby","year":"2007","unstructured":"Bixby, R., Rothberg, E.: Progress in computational mixed integer programming\u2014a look back from the other side of the tipping point. Ann. Oper. Res. 149(1), 37\u201341 (2007)","journal-title":"Ann. Oper. Res."},{"key":"57_CR7","first-page":"12","volume":"58","author":"RE Bixby","year":"1998","unstructured":"Bixby, R.E., Ceria, S., McZeal, C.M., Savelsbergh, M.W.P.: An updated mixed integer programming library: MIPLIB 3.0. Optima 58, 12\u201315 (1998)","journal-title":"Optima"},{"key":"57_CR8","unstructured":"COIN-OR Branch-and-Cut 2.7 stable r1676. https:\/\/projects.coin-or.org\/Cbc\/"},{"key":"57_CR9","unstructured":"COIN-OR Linear Programming 1.14 stable r1753. https:\/\/projects.coin-or.org\/Clp\/"},{"key":"57_CR10","unstructured":"COIN-OR Cut Generation Library 0.57 stable r1033. https:\/\/projects.coin-or.org\/Cgl\/"},{"key":"57_CR11","volume-title":"Practical Nonparametric Statistics","author":"WJ Conover","year":"1999","unstructured":"Conover, W.J.: Practical Nonparametric Statistics, 3rd edn. Wiley, New York (1999)","edition":"3"},{"issue":"4","key":"57_CR12","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1287\/ijoc.1090.0324","volume":"21","author":"W Cook","year":"2009","unstructured":"Cook, W., Dash, S., Fukasawa, R., Goycoolea, M.: Numerically safe Gomory mixed-integer cuts. INFORMS J. Comput. 21(4), 641\u2013649 (2009)","journal-title":"INFORMS J. Comput."},{"key":"57_CR13","doi-asserted-by":"crossref","unstructured":"Cook, W., Koch, T., Steffy, D.E., Wolter, K.: An exact rational mixed-integer programming solver. In: G\u00fcnl\u00fck, O., Woeginger, G.J. (eds.) Proceedings of IPCO 2011. Lecture Notes in Computer Science, vol. 6655, pp. 104\u2013116. Springer, Berlin (2011)","DOI":"10.1007\/978-3-642-20807-2_9"},{"key":"57_CR14","unstructured":"Espinoza, D.G.: On linear programming, integer programming and cutting planes. PhD thesis, School of Industrial and Systems Engineering, Georgia Institute of Technology (2006)"},{"key":"57_CR15","unstructured":"Gomory, R.E.: An algorithm for the mixed-integer problem. Technical Report RM-2597, RAND Corporation (1960)"},{"key":"57_CR16","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1023\/A:1011255519438","volume":"19","author":"H-M Gutmann","year":"2001","unstructured":"Gutmann, H.-M.: A radial basis function method for global optimization. J. Glob. Optim. 19, 201\u2013227 (2001). doi: 10.1023\/A:1011255519438","journal-title":"J. Glob. Optim."},{"key":"57_CR17","unstructured":"Hemker, T.: Derivative free surrogate optimization for mixed-integer nonlinear black-box problems in engineering. Master\u2019s thesis, Technischen Universit\u00e4t Darmstadt (2008)"},{"issue":"4","key":"57_CR18","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1007\/s11081-008-9037-3","volume":"9","author":"K Holmstr\u00f6m","year":"2008","unstructured":"Holmstr\u00f6m, K., Quttineh, N.H., Edvall, M.M.: An adaptive radial basis algorithm (ARBF) for expensive black-box mixed-integer constrained global optimization. Optim. Eng. 9(4), 311\u2013339 (2008)","journal-title":"Optim. Eng."},{"key":"57_CR19","unstructured":"Ibm, ILOG CPLEX 12.2 User\u2019s Manual. http:\/\/www-01.ibm.com\/software\/integration\/optimization\/cplex-optimizer\/"},{"issue":"1","key":"57_CR20","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1145\/363707.363723","volume":"8","author":"W Kahan","year":"1965","unstructured":"Kahan, W.: Pracniques: further remarks on reducing truncation errors. Commun. ACM 8(1), 40 (1965)","journal-title":"Commun. ACM"},{"issue":"2","key":"57_CR21","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s12532-011-0025-9","volume":"3","author":"T Koch","year":"2011","unstructured":"Koch, T., Achterberg, T., Andersen, E., Bastert, O., Berthold, T., Bixby, R.E., Danna, E., Gamrath, G., Gleixner, A.M., Heinz, S., Lodi, A., Mittelmann, H., Ralphs, T., Salvagnin, D., Steffy, D.E., Wolter, K.: MIPLIB 2010. Math. Program. Comput. 3(2), 103\u2013163 (2011)","journal-title":"Math. Program. Comput."},{"key":"57_CR22","unstructured":"Litzkow, M., Livny, M., Mutka, M.: Condor\u2014a hunter of idle workstations. In: Proceedings of the 8th International Conference on Distributed Computing System, pp. 104\u2013111 (1998)"},{"issue":"1","key":"57_CR23","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1007\/s12532-009-0003-7","volume":"1","author":"F Margot","year":"2009","unstructured":"Margot, F.: Testing cut generators for mixed-integer linear programming. Math. Program. Comput. 1(1), 69\u201395 (2009)","journal-title":"Math. Program. Comput."},{"key":"57_CR24","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/s10107-003-0433-3","volume":"99","author":"A Neumaier","year":"2004","unstructured":"Neumaier, A., Shscherbina, O.: Safe bounds in linear and mixed-integer linear programming. Math. Program. A 99, 283\u2013296 (2004)","journal-title":"Math. Program. A"},{"key":"57_CR25","unstructured":"R Development Core Team: R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN: 3-900051-07-0 (2008)"},{"key":"57_CR26","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1007\/s10898-006-9040-1","volume":"37","author":"R Regis","year":"2007","unstructured":"Regis, R., Shoemaker, C.: Improved strategies for radial basis function methods for global optimization. J. Glob. Optim. 37, 113\u2013135 (2007). doi: 10.1007\/s10898-006-9040-1","journal-title":"J. Glob. Optim."},{"key":"57_CR27","volume-title":"Handbook of Parametric and Nonparametric Statistical Procedures","author":"DJ Sheskin","year":"2007","unstructured":"Sheskin, D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapman & Hall\/CRC, London (2007)"},{"key":"57_CR28","doi-asserted-by":"crossref","first-page":"594","DOI":"10.1287\/moor.1090.0385","volume":"34","author":"A Zuylen van","year":"2009","unstructured":"van Zuylen, A., Williamson, D.P.: Deterministic algorithms for rank aggregation and other ranking and clustering problems. Math. Oper. Res. 34, 594\u2013620 (2009)","journal-title":"Math. Oper. Res."}],"container-title":["Mathematical Programming Computation"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12532-013-0057-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s12532-013-0057-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s12532-013-0057-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,7,20]],"date-time":"2019-07-20T08:06:17Z","timestamp":1563609977000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s12532-013-0057-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,8,3]]},"references-count":28,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["57"],"URL":"https:\/\/doi.org\/10.1007\/s12532-013-0057-4","relation":{},"ISSN":["1867-2949","1867-2957"],"issn-type":[{"value":"1867-2949","type":"print"},{"value":"1867-2957","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,8,3]]}}}