Publications

Found 214 results
2018
Harwood SM, Barton PI.  2018.  Affine relaxations for the solutions of constrained parametric ordinary differential equations. Optimal Control Applications and Methods. 39(2):427–448.
Dowdy GR, Barton PI.  2018.  Bounds on stochastic chemical kinetic systems at steady state. The Journal of Chemical Physics. 148(8):084106.
Kannan R, Barton PI.  2018.  Convergence-order analysis of branch-and-bound algorithms for constrained problems. Journal of Global Optimization. 71(4):753–813.
Khan KA, Wilhelm M, Stuber MD, Cao H, Watson HAJ, Barton PI.  2018.  Corrections to: Differentiable McCormick relaxations. Journal of Global Optimization. 70(3):705–706.
Gomez JA, Höffner K, Khan KA, Barton PI.  2018.  Generalized Derivatives of Lexicographic Linear Programs. Journal of Optimization Theory and Applications. 178(2):477–501.
Stechlinski P, Khan KA, Barton PI.  2018.  Generalized Sensitivity Analysis of Nonlinear Programs. SIAM Journal on Optimization. 28(1):272–301.
Akbari A, Barton PI.  2018.  An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. Journal of Optimization Theory and Applications. 178(2):502–537.
Stechlinski P, Patrascu M, Barton PI.  2018.  Nonsmooth Differential-Algebraic Equations in Chemical Engineering. Computers & Chemical Engineering. 114:52-68.
Patrascu M, Barton PI.  2018.  Optimal Campaigns in End-to-End Continuous Pharmaceuticals Manufacturing. Part 2: Dynamic Optimization. Chemical Engineering and Processing - Process Intensification. 125:124-132.
Patrascu M, Barton PI.  2018.  Optimal Campaigns in End-to-End Continuous Pharmaceuticals Manufacturing. Part 1: Nonsmooth Dynamic Modeling. Chemical Engineering and Processing - Process Intensification. 125:298-310.
Watson HAJ, Vikse M, Gundersen T, Barton PI.  2018.  Optimization of single mixed-refrigerant natural gas liquefaction processes described by nondifferentiable models. Energy. 150:860-876.
Vikse M, Watson HAJ, Gundersen T, Barton PI.  2018.  A Versatile Simulation Method for Complex Single Mixed Refrigerant Natural Gas Liquefaction Processes. Industrial & Engineering Chemistry Research. 57(17):5881–5894.
2017
Yang Y, Vayanos P, Barton PI.  2017.  Chance-constrained optimization for refinery blend planning under uncertainty. Industrial & Engineering Chemistry Research. 56(42):12139–12150.
Kannan R, Barton PI.  2017.  The cluster problem in constrained global optimization. Journal of Global Optimization. 69:629-676.
Stechlinski PG, Barton PI.  2017.  Dependence of solutions of nonsmooth differential-algebraic equations on parameters. Journal of Differential Equations. 262(3):2254–2285.
Khan KA, Watson HAJ, Barton PI.  2017.  Differentiable McCormick relaxations. Journal of Global Optimization. 67(4):687–729.
Sahlodin AM, Barton PI.  2017.  Efficient Control Discretization Based on Turnpike Theory for Dynamic Optimization. Processes. 5(4):85.
Khan KA, Barton PI.  2017.  Generalized Derivatives for Hybrid Systems. IEEE Transactions on Automatic Control. 62(7):3193-3208.
Harwood SM, Barton PI.  2017.  How to solve a design centering problem. Math Meth Oper Res. 86(1):215-254.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 2: direct-bounding method. Chemical Engineering Science. 166:345-357.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 1: sparse transformation. Chemical Engineering Science. 166:334-344.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 3: indirect-bounding method. Chemical Engineering Science. 166:358-372.

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