{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,7]],"date-time":"2026-02-07T21:03:46Z","timestamp":1770498226036,"version":"3.49.0"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[1997,10,1]],"date-time":"1997-10-01T00:00:00Z","timestamp":875664000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[1997,10,1]],"date-time":"1997-10-01T00:00:00Z","timestamp":875664000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Global Optimization"],"published-print":{"date-parts":[[1997,10]]},"DOI":"10.1023\/a:1008212418949","type":"journal-article","created":{"date-parts":[[2002,12,22]],"date-time":"2002-12-22T13:47:34Z","timestamp":1040564854000},"page":"287-311","source":"Crossref","is-referenced-by-count":46,"title":["A Reduced Space Branch and Bound Algorithm for Global optimization"],"prefix":"10.1007","volume":"11","author":[{"given":"Thomas G. W.","family":"Epperly","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Efstratios N.","family":"Pistikopoulos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"issue":"2","key":"134235_CR1","doi-asserted-by":"crossref","first-page":"273","DOI":"10.1287\/moor.8.2.273","volume":"8","author":"F. A. Al-Khayyal","year":"1983","unstructured":"F. A. Al-Khayyal and J. E. Falk. Jointly constrained biconvex programming. Mathematics of Operations Research, 8(2):273\u2013286, 1983.","journal-title":"Mathematics of Operations Research"},{"issue":"4","key":"134235_CR2","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1007\/BF01099647","volume":"7","author":"I. P. Androulakis","year":"1995","unstructured":"I. P. Androulakis, C. D. Maranas, and C. A. Floudas. \u03b1_BB: A global optimization method for general constrainted nonconvex problems. Journal of Global Optimization, 7(4):337\u2013363, 1995.","journal-title":"Journal of Global Optimization"},{"key":"134235_CR3","doi-asserted-by":"crossref","unstructured":"T. G. W. Epperly and R. E. Swaney. Branch and bound for global NLP: New bounding LP. In Ignacio E. Grossmann (ed.), Global Optimization in Engineering Design, chapter 1. Kluwer, 1996.","DOI":"10.1007\/978-1-4757-5331-8_1"},{"issue":"9","key":"134235_CR4","doi-asserted-by":"crossref","first-page":"550","DOI":"10.1287\/mnsc.15.9.550","volume":"15","author":"J. E. Falk","year":"1969","unstructured":"J. E. Falk and R. M. Soland. An algorithm for separable nonconvex programming problems. Management Science, 15(9):550\u2013569, 1969.","journal-title":"Management Science"},{"key":"134235_CR5","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1007\/BF01580678","volume":"10","author":"R. Horst","year":"1976","unstructured":"R. Horst. An algorithm for nonconvex programming. Mathematical Programming, 10:312\u201321, 1976.","journal-title":"Mathematical Programming"},{"issue":"1","key":"134235_CR6","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF00939768","volume":"58","author":"R. Horst","year":"1988","unstructured":"R. Horst. Deterministic global optimization with partition sets whose feasibility is not known: Application to concave minimization, reverse convex constraints, DC-programming, and Lipschitzian optimization. Journal of Optimization Theory and Application, 58(1):11\u201337, 1988.","journal-title":"Journal of Optimization Theory and Application"},{"issue":"3","key":"134235_CR7","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1007\/BF00940322","volume":"74","author":"R. Horst","year":"1992","unstructured":"R. Horst and N. V. Thoai. Conical algorithm for the global minimization of linearly constrained decomposable concave minimization problems. Journal of Optimization Theory and Applications, 74(3):469\u2013486, 1992.","journal-title":"Journal of Optimization Theory and Applications"},{"key":"134235_CR8","doi-asserted-by":"crossref","first-page":"333","DOI":"10.1007\/BF01096683","volume":"5","author":"R. Horst","year":"1994","unstructured":"R. Horst and N. V. Thoai. Constraint decomposition algorithms in global optimization. Journal of Global Optimization, 5:333\u2013348, 1994.","journal-title":"Journal of Global Optimization"},{"issue":"2","key":"134235_CR9","doi-asserted-by":"crossref","first-page":"772","DOI":"10.1021\/ie950263f","volume":"35","author":"M. G. Ierapetritou","year":"1996","unstructured":"M. G. Ierapetritou and E. N. Pistikopoulos. Batch plant design and operations under uncertainty. Industrial & Engineering Chemistry Research, 35(2):772\u2013787, 1996.","journal-title":"Industrial & Engineering Chemistry Research"},{"key":"134235_CR10","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/BF01580665","volume":"10","author":"G. P. McCormick","year":"1976","unstructured":"G. P. McCormick. Computability of global solutions to factorable nonconvex programs: Part I \u2014 Convex underestimating problems. Mathematical Programming, 10:147\u2013175, 1976.","journal-title":"Mathematical Programming"},{"key":"134235_CR11","unstructured":"G. P. McCormick. Nonlinear Programming, Theory, Algorithms, and Applications. John Wiley & Sons, 1983."},{"key":"134235_CR12","series-title":"Technical Report SOL","first-page":"94305","volume-title":"MINOS 5.1 user\u2019s guide","author":"B. A. Murtagh","year":"1987","unstructured":"B. A. Murtagh and M. A. Saunders. MINOS 5.1 user\u2019s guide. Technical Report SOL 83-20R, Systems Optimization Laboratory, Stanford University, Stanford, CA 94305\u20134022, 1987."},{"key":"134235_CR13","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/BF01582140","volume":"61","author":"L. D. Muu","year":"1993","unstructured":"L. D. Muu. An algorithm for solving convex programs with an additional convex-concave constraint. Mathematical Programming, 61:75\u201387, 1993.","journal-title":"Mathematical Programming"},{"key":"134235_CR14","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1007\/BF01096777","volume":"3","author":"L. D. Muu","year":"1993","unstructured":"L. D. Muu and W. Oettli. Combined branch-and-bound and cutting plane methods for solving a class of nonlinear programming problems. Journal of Global Optimization, 3:377\u2013391, 1993.","journal-title":"Journal of Global Optimization"},{"key":"134235_CR15","unstructured":"A. Neumaier. Interval Methods for Systems of Equations. Encyclopedia of Mathematics and Its Applications. Cambridge University Press, 1990."},{"key":"134235_CR16","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1007\/BF01589415","volume":"42","author":"A. T. Phillips","year":"1988","unstructured":"A. T. Phillips and J. B. Rosen. A parallel algorithm for constrained concave quadratic global minimization. Mathematical Programming, 42:421\u2013448, 1988.","journal-title":"Mathematical Programming"},{"key":"134235_CR17","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1016\/0167-6377(95)00014-B","volume":"17","author":"T. Q. Phong","year":"1995","unstructured":"T. Q. Phong, L. T. H. An, and P. D. Tao. Decomposition branch and bound method for globally solving linearly constrained indefinite quadratic minimization problems. Operations Research Letters, 17:215\u2013220, 1995.","journal-title":"Operations Research Letters"},{"key":"134235_CR18","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1007\/BF01106605","volume":"6","author":"I. Quesada","year":"1995","unstructured":"I. Quesada and I. E. Grossmann. Aglobal optimization algorithmfor linear fractional and bilinear programs. Journal of Global Optimization, 6:39\u201376, 1995.","journal-title":"Journal of Global Optimization"},{"issue":"5","key":"134235_CR19","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1016\/0098-1354(94)00097-2","volume":"19","author":"H. S. Ryoo","year":"1995","unstructured":"H. S. Ryoo and N. V. Sahinidis. Global optimization of nonconvex NLPs and MINLPs with applications in process design. Computers and Chemical Engineering, 19(5):551\u2013566, 1995.","journal-title":"Computers and Chemical Engineering"},{"key":"134235_CR20","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1007\/BF00122429","volume":"2","author":"H. D. Sherali","year":"1992","unstructured":"H. D. Sherali and A. Alameddine. A new reformulation-linearization technique for bilinear programming problems. Journal of Global Optimization, 2:379\u2013410, 1992.","journal-title":"Journal of Global Optimization"},{"key":"134235_CR21","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1007\/BF00121304","volume":"2","author":"H. D. Sherali","year":"1992","unstructured":"H. D. Sherali and C. H. Tuncbilek. A global optimization algorithm for polynomial programming problems using a reformulation-linearization technique. Journal of Global Optimization, 2:101\u2013112, 1992.","journal-title":"Journal of Global Optimization"},{"key":"134235_CR22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01100203","volume":"7","author":"H. D. Sherali","year":"1995","unstructured":"H. D. Sherali and C. H. Tuncbilek. A reformulation-convexification approach for solving nonconvex quadratic programming problems. Journal of Global Optimization, 7:1\u201331, 1995.","journal-title":"Journal of Global Optimization"},{"key":"134235_CR23","doi-asserted-by":"crossref","unstructured":"E. M. B. Smith and C. C. Pantelides. Global optimization of general process models. In Ignacio E. Grossmann, editor, Global Optimization in Engineering Design, chapter 12. Kluwer, 1996.","DOI":"10.1007\/978-1-4757-5331-8_12"},{"issue":"1","key":"134235_CR24","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1007\/BF00120663","volume":"1","author":"H. Tuy","year":"1991","unstructured":"H. Tuy. Effect of the subdivision strategy on convergence and efficiency of some global optimization algorithms. Journal of Global Optimization, 1(1):23\u201336, 1991.","journal-title":"Journal of Global Optimization"}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008212418949.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1008212418949\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1008212418949.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,1]],"date-time":"2025-07-01T10:48:48Z","timestamp":1751366928000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1008212418949"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,10]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1997,10]]}},"alternative-id":["134235"],"URL":"https:\/\/doi.org\/10.1023\/a:1008212418949","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[1997,10]]}}}