Hellemo, Lars; Barton, Paul I.; Tomasgard, Asgeir Decision-dependent probabilities in stochastic programs with recourse. (English) Zbl 1483.90095 Comput. Manag. Sci. 15, No. 3-4, 369-395 (2018). MSC: 90C15 PDFBibTeX XMLCite \textit{L. Hellemo} et al., Comput. Manag. Sci. 15, No. 3--4, 369--395 (2018; Zbl 1483.90095) Full Text: DOI Link
Kannan, Rohit; Barton, Paul I. Convergence-order analysis of branch-and-bound algorithms for constrained problems. (English) Zbl 1397.49042 J. Glob. Optim. 71, No. 4, 753-813 (2018). MSC: 49M20 49M29 49M37 49N15 65K05 68Q25 90C26 PDFBibTeX XMLCite \textit{R. Kannan} and \textit{P. I. Barton}, J. Glob. Optim. 71, No. 4, 753--813 (2018; Zbl 1397.49042) Full Text: DOI Link
Harwood, Stuart M.; Barton, Paul I. How to solve a design centering problem. (English) Zbl 1388.90114 Math. Methods Oper. Res. 86, No. 1, 215-254 (2017). Reviewer: Do Van Luu (Hanoi) MSC: 90C34 90C26 PDFBibTeX XMLCite \textit{S. M. Harwood} and \textit{P. I. Barton}, Math. Methods Oper. Res. 86, No. 1, 215--254 (2017; Zbl 1388.90114) Full Text: DOI Link
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Natural gas production network infrastructure development under uncertainty. (English) Zbl 1364.90061 Optim. Eng. 18, No. 1, 35-62 (2017). MSC: 90B10 90C11 90C15 90C26 90C90 PDFBibTeX XMLCite \textit{X. Li} et al., Optim. Eng. 18, No. 1, 35--62 (2017; Zbl 1364.90061) Full Text: DOI Link
Khan, Kamil A.; Watson, Harry A. J.; Barton, Paul I. Differentiable McCormick relaxations. (English) Zbl 1365.49027 J. Glob. Optim. 67, No. 4, 687-729 (2017); correction ibid. 70, No. 3, 705-706 (2018). MSC: 49M20 90C26 65G40 26B25 49J45 PDFBibTeX XMLCite \textit{K. A. Khan} et al., J. Glob. Optim. 67, No. 4, 687--729 (2017; Zbl 1365.49027) Full Text: DOI Link
Harwood, Stuart M.; Barton, Paul I. Lower level duality and the global solution of generalized semi-infinite programs. (English) Zbl 1338.90316 Optimization 65, No. 6, 1129-1149 (2016). MSC: 90C26 90C34 90C46 65K05 PDFBibTeX XMLCite \textit{S. M. Harwood} and \textit{P. I. Barton}, Optimization 65, No. 6, 1129--1149 (2016; Zbl 1338.90316) Full Text: DOI
Scott, Joseph K.; Barton, Paul I. Reachability analysis and deterministic global optimization of DAE models. (English) Zbl 1343.65104 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer (ISBN 978-3-319-22427-5/pbk; 978-3-319-22428-2/ebook). Differential-Algebraic Equations Forum, 61-116 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65L80 93B03 90C26 34A40 34A60 49J15 34A09 93C15 PDFBibTeX XMLCite \textit{J. K. Scott} and \textit{P. I. Barton}, in: Surveys in differential-algebraic equations III. Cham: Springer. 61--116 (2015; Zbl 1343.65104) Full Text: DOI
Wechsung, Achim; Scott, Joseph K.; Watson, Harry A. J.; Barton, Paul I. Reverse propagation of McCormick relaxations. (English) Zbl 1322.49048 J. Glob. Optim. 63, No. 1, 1-36 (2015). MSC: 49M20 49M37 90C26 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} et al., J. Glob. Optim. 63, No. 1, 1--36 (2015; Zbl 1322.49048) Full Text: DOI Link
Stuber, Matthew D.; Scott, Joseph K.; Barton, Paul I. Convex and concave relaxations of implicit functions. (English) Zbl 1327.65114 Optim. Methods Softw. 30, No. 3, 424-460 (2015). MSC: 65K05 65H10 90C26 PDFBibTeX XMLCite \textit{M. D. Stuber} et al., Optim. Methods Softw. 30, No. 3, 424--460 (2015; Zbl 1327.65114) Full Text: DOI
Wechsung, Achim; Barton, Paul I. Global optimization of bounded factorable functions with discontinuities. (English) Zbl 1311.90114 J. Glob. Optim. 58, No. 1, 1-30 (2014). MSC: 90C26 49M20 65K05 PDFBibTeX XMLCite \textit{A. Wechsung} and \textit{P. I. Barton}, J. Glob. Optim. 58, No. 1, 1--30 (2014; Zbl 1311.90114) Full Text: DOI Link
Scott, Joseph K.; Chachuat, Benoit; Barton, Paul I. Nonlinear convex and concave relaxations for the solutions of parametric ODEs. (English) Zbl 1273.93089 Optim. Control Appl. Methods 34, No. 2, 145-163 (2013). MSC: 93C15 34H05 90C26 PDFBibTeX XMLCite \textit{J. K. Scott} et al., Optim. Control Appl. Methods 34, No. 2, 145--163 (2013; Zbl 1273.93089) Full Text: DOI Link
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Decomposition strategy for the stochastic pooling problem. (English) Zbl 1282.90141 J. Glob. Optim. 54, No. 4, 765-790 (2012). MSC: 90C26 90C15 PDFBibTeX XMLCite \textit{X. Li} et al., J. Glob. Optim. 54, No. 4, 765--790 (2012; Zbl 1282.90141) Full Text: DOI
Li, Xiang; Tomasgard, Asgeir; Barton, Paul I. Nonconvex generalized Benders decomposition for stochastic separable mixed-integer nonlinear programs. (English) Zbl 1245.90079 J. Optim. Theory Appl. 151, No. 3, 425-454 (2011). Reviewer: Jitka Dupačová (Praha) MSC: 90C15 90C26 90C11 PDFBibTeX XMLCite \textit{X. Li} et al., J. Optim. Theory Appl. 151, No. 3, 425--454 (2011; Zbl 1245.90079) Full Text: DOI Link
Scott, Joseph K.; Stuber, Matthew D.; Barton, Paul I. Generalized McCormick relaxations. (English) Zbl 1232.49033 J. Glob. Optim. 51, No. 4, 569-606 (2011). MSC: 49M20 90C26 PDFBibTeX XMLCite \textit{J. K. Scott} et al., J. Glob. Optim. 51, No. 4, 569--606 (2011; Zbl 1232.49033) Full Text: DOI
Mitsos, Alexander; Chachuat, Benoît; Barton, Paul I. Towards global bilevel dynamic optimization. (English) Zbl 1177.90405 J. Glob. Optim. 45, No. 1, 63-93 (2009). MSC: 90C39 90C26 PDFBibTeX XMLCite \textit{A. Mitsos} et al., J. Glob. Optim. 45, No. 1, 63--93 (2009; Zbl 1177.90405) Full Text: DOI
Mitsos, Alexander; Barton, Paul I. Parametric mixed-integer 0-1 linear programming: The general case for a single parameter. (English) Zbl 1162.90021 Eur. J. Oper. Res. 194, No. 3, 663-686 (2009). MSC: 90C31 90C11 90C05 PDFBibTeX XMLCite \textit{A. Mitsos} and \textit{P. I. Barton}, Eur. J. Oper. Res. 194, No. 3, 663--686 (2009; Zbl 1162.90021) Full Text: DOI
Mitsos, Alexander; Lemonidis, Panayiotis; Barton, Paul I. Global solution of bilevel programs with a nonconvex inner program. (English) Zbl 1163.90700 J. Glob. Optim. 42, No. 4, 475-513 (2008). MSC: 90C26 90C57 PDFBibTeX XMLCite \textit{A. Mitsos} et al., J. Glob. Optim. 42, No. 4, 475--513 (2008; Zbl 1163.90700) Full Text: DOI
Lee, Cha Kun; Singer, Adam B.; Barton, Paul I. Global optimization of linear hybrid systems with explicit transitions. (English) Zbl 1157.93442 Syst. Control Lett. 51, No. 5, 363-375 (2004). MSC: 93C65 49L20 93C15 PDFBibTeX XMLCite \textit{C. K. Lee} et al., Syst. Control Lett. 51, No. 5, 363--375 (2004; Zbl 1157.93442) Full Text: DOI
Singer, A. B.; Barton, P. I. Global solution of optimization problems with parameter-embedded linear dynamic systems. (English) Zbl 1107.90035 J. Optim. Theory Appl. 121, No. 3, 613-646 (2004). MSC: 90C30 49J15 90C57 PDFBibTeX XMLCite \textit{A. B. Singer} and \textit{P. I. Barton}, J. Optim. Theory Appl. 121, No. 3, 613--646 (2004; Zbl 1107.90035) Full Text: DOI