Selected Publications of Paul I. Barton

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"Parametric Mixed 0-1 Linear Programming: the General Case for a Single Parameter", European Journal of Operational Research, 194(3): 663-668, (2009), (with A. Mitsos). http://dx.doi.org/10.1016/j.ejor.2008.01.007

"Global Solution of Bilevel Programs with a Nonconvex Inner Program", Journal of Global Optimization, 42(4): 475-513, (2008), (with A. Mitsos and P. Lemonidis). http://dx.doi.org/10.1007/s10898-007-9260-z

"Optimal Automatic Reaction and Species Elimination in Kinetic Mechanisms", Combustion and Flame, 155(1-2): 118-132, (2008), (with A. Mitsos, G.M. Oxberry, and W.H. Green). http://dx.doi.org/10.1016/j.combustflame.2008.03.004

"Refined Electrolyte-NRTL Model: Activity Coefficient Expressions for Application to Multi-Electrolyte Systems", AIChE Journal, 54(6): 1608-1624, (2008), (with G.M. Bollas and C.C. Chen). http://dx.doi.org/10.1002/aic.11485

"Designing man-portable power generation systems for varying power demand", AIChE Journal, 54(5): 1254-1269, (2008), (with M. Yunt, B. Chachuat, and A. Mitsos). http://dx.doi.org/10.1002/aic.11442

"Global Optimization Of Linear Hybrid Systems With Varying Transition Times", SIAM Journal on Control and Optimization, 47(2): 791-816, (2008), (with C.K. Lee). http://dx.doi.org/10.1137/050625539

"Relaxation-Based Bounds for Semi-Infinite Programs", SIAM Journal on Optimization, 19(1): 77-113, (2008), (with A. Mitsos, P. Lemonidis, and C.K. Lee). http://dx.doi.org/10.1137/060674685

"A Short-Term Operational Planning Model for Natural Gas Production Systems", AIChE Journal, 54(2): 495-515, (2008), (with A. Selot, L.K. Kuok, M. Robinson, and T.L. Mason). http://dx.doi.org/10.1002/aic.11385

"Numerical Simulation of a Class of PDAEs with a Separation of Time Scales", In L.L. Bonilla, M. Moscoso, G. Platero, and J.M. Vega, editors, Mathematics in Industry, 12: 512-517, Springer, 2008, (with B. Chachuat). http://dx.doi.org/10.1007/978-3-540-71992-2_80

"The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism", PLoS Computational Biology, 3(12): 2476-2486, (2007), (with A.K. Wilkins and B. Tidor). http://dx.doi.org/10.1371/journal.pcbi.003024

"Methodology for the Design of Man-Portable Power Generation Devices", Industrial & Engineering Chemistry Research, 46(22): 7164-7176, (2007), (with A. Mitsos and B. Chachuat). http://dx.doi.org/10.1021/ie070586z

"A Dual Extremum Principle in Thermodynamics", AIChE Journal, 53(8): 2131-2147, (2007), (with A. Mitsos). http://dx.doi.org/10.1002/aic.11230

"What is the design objective for portable power generation: Efficiency or energy density?", Journal of Power Sources, 164(2): 678-687, (2007), (with A. Mitsos and B. Chachuat). http://dx.doi.org/10.1016/j.jpowsour.2006.10.088

"Obtaining accurate solutions using reduced chemical kinetic models: a new model reduction method for models rigorously validated over ranges", Combustion Theory and Modelling, 11(1): 127-146, (2007), (with O.O. Oluwole and W.H. Green, Jr.). http://dx.doi.org/10.1080/13647830600924601

"Global Methods for Dynamic Optimization and Mixed-Integer Dynamic Optimization", Industrial Engineering Chemistry Research, 45(25):8373-8392, (2006), (with B. Chachuat and A.B. Singer). http://dx.doi.org/10.1021/ie0601605

"Biological network design strategies: discovery through dynamic optimization", Molecular BioSystems, 2(12):650-659, (2006), (with B.S. Adiwijaya and B. Tidor). http://dx.doi.org/10.1039/b610090b

"Optimization of Hybrid Systems", Computers Chem. Engng., 30(10/12):1576-1589, (2006), (with C.K. Lee and M. Yunt). http://dx.doi.org/10.1016/j.compchemeng.2006.05.024

"Rigorous Valid Ranges for Optimally Reduced Kinetic Models", Combustion and Flame, 146(1-2):348-365, 2006, (with O.O. Oluwole, B. Bhattacharjee, J.E. Tolsma, W.H. Green, Jr.). http://dx.doi.org/10.1016/j.combustflame.2006.02.009

"Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations", SIAM Journal on Scientific Computing, 27(6):2167-2182, 2006. (with A.B. Singer). Copyright SIAM 2006, posted with permission. http://dx.doi.org/10.1137/040604388

"Global Optimization with Nonlinear Ordinary Differential Equations", Journal of Global Optimization, 34(2):159-190, 2006. (with A.B. Singer) http://dx.doi.org/10.1007/s10898-005-7074-4

"Global Dynamic Optimization for Parameter Estimation in Chemical Kinetics", Journal of Physical Chemistry A, 110(3):971-976, 2006. (with A.B. Singer, J.W. Taylor and W.H. Green Jr.) http://dx.doi.org/10.1021/jp0548873

"Application of Targeted Automatic Differentiation to Large Scale Dynamic Optimization", In: H Martin Bücker, George F. Corliss, Paul Hovland, Uwe Naumann and Boyana Norris, editors, Automatic Differentiation: Applications, Theory, and Implementations, Lecture Notes in Computational Science and Engineering, 50:235-248, Springer, New York, 2006 (ISBN: 3-540-28403-6).(with D.B. Özyurt).

"Global Mixed Integer Dynamic Optimization", AIChE Journal, 51(8):2235-2253, 2005 (with B. Chachuat and A.B. Singer). http://dx.doi.org/10.1002/aic.10494

"Product Engineering for Man-portable Power Generation Based on Fuel Cells", AIChE Journal,51(8):2199-2219, 2005, (with A. Mitsos and M.M. Hencke). http://dx.doi.org/10.1002/aic.10456

"Global Solution of Semi-infinite Programs", Mathematical Programming, Series B, 103(2):283-307, 2005, (with B. Bhattacharjee, P. Lemonidis and W.H. Green Jr). http://dx.doi.org/10.1007/s10107-005-0583-6

"Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals", SIAM Journal on Scientific Computing, 26(5):1725--1743, 2005, (with D.B. Özyurt). Copyright SIAM 2005, posted with permission. http://dx.doi.org/10.1137/030601582

"Global Optimization of Linear Hybrid Systems with Varying Time Events", International Journal of Software Engineering and Knowledge Engineering, 15(2):467-472, 2005, (with C.K. Lee). http://dx.doi.org/10.1142/S0218194005001938

"Optimal Design and Steady-state Operation of Micro Power Generation Employing Fuel Cells", Chemical Engineering Science, 60(16):4535-4556, 2005, (with B. Chachuat and A. Mitsos). http://dx.doi.org/10.1016/j.ces.2005.02.053

"Large-Scale Dynamic Optimization Using the Directional Second Order Adjoint Method", Industrial & Engineering Chemistry Research, 44(6):1804-1811, 2005, (with D.B. Özyurt). http://dx.doi.org/10.1021/ie0494061

"Interval Methods for Semi-infinite Programs", Computational Optimization and Applications, 30(1):63-93, 2005, (with B. Bhattacharjee and W.H. Green, Jr.). http://dx.doi.org/10.1007/s10589-005-4556-8

"Global Solution of Optimization Problems with Parameter-Embedded Linear Dynamic Systems", Journal of Optimization Theory and Applications, 121(3):613-646, 2004, (with A.B. Singer) http://dx.doi.org/10.1023/B:JOTA.0000037606.79050.a7

"Outer Approximation Algorithms for Separable Nonconvex Mixed-Integer Nonlinear Programs", Mathematical Programming, Series A, 100(3):517-535, 2004, (with P. Kesavan, R.J. Allgor and E.P. Gatzke). http://dx.doi.org/10.1007/s10107-004-0503-1

"Design of Process Operations using Hybrid Dynamic Optimization", Computers chem. Engng., 28(6-7):955-969, 2004, (with C.K. Lee). http://dx.doi.org/10.1016/j.compchemeng.2003.09.015

"Global Optimization of Linear Hybrid Systems with Explicit Transitions", Systems & Control Letters, 51(5):363-375, 2004, (with C.K. Lee and A.B. Singer). http://dx.doi.org/10.1016/j.sysconle.2003.09.005

"Alternatives for Micropower Generation Processes", Industrial & Engineering Chemistry Research, 43(1):74-84, 2004, (with A. Mitsos and I. Palou-Rivera). http://dx.doi.org/10.1021/ie0304917

"Optimally-Reduced Kinetic Models: Reaction Elimination in Large-Scale Kinetic Mechanisms", Combustion and Flame, 135(3):191-208, 2003, (with B. Bhattacharjee, D.A. Schwer and W.H. Green, Jr.). http://dx.doi.org/10.1016/S0010-2180(03)00159-7

"Global Dynamic Optimization of Linear Time Varying Hybrid Systems", Dynamics of Continuous Discrete and Impulsive Systems - Series B, S: 153-158, 2003, (with C.K. Lee).

"Modeling, Simulation, Sensitivity Analysis and Optimization of Hybrid Systems", ACM Transactions on Modeling and Computer Simulation, 12(4):256-289, 2002, (with C.K. Lee). http://doi.acm.org/10.1145/643120.643122

"Index and Characteristic Analysis of Linear PDAE Systems", SIAM Journal on Scientific Computing, 24(3):905-923, 2002, (with W.S. Martinson). Copyright SIAM 2002, posted with permission. http://dx.doi.org/10.1137/S1064827599363411

"Numerical Solvers", In: Bertrand Braunschweig and Rafiqul Gani, editors, Software Architectures for Computer Aided Process Engineering, pp. 127-164, Elsevier, (2002), (with J.E. Tolsma).

"On Inconsistent Initial Conditions for Linear Time-Invariant Differential-Algebraic Equations", IEEE Transactions on Circuits and Systems - I. Fundamental Theory and Applications, 49(11):1646-1648, 2002, (with G. Reiszig and H. Boche). http://dx.doi.org/10.1109/TCSI.2002.804552

"Construction of Convex Function Relaxations Using Automated Code Generation Techniques", Optimization & Engineering, 3(3):305-326, 2002 (with E.P. Gatzke and J.E. Tolsma). http://dx.doi.org/10.1023/A:1021095211251

"Symbolic Incorporation of External Procedures into Process Modeling Environments", Industrial & Engineering Chemistry Research, 41(16):3867-3876, (2002), (with J.E. Tolsma and J.A. Clabaugh). http://dx.doi.org/10.1021/ie0107946

"Hidden Discontinuities and Parametric Sensitivity Analysis", SIAM Journal on Scientific Computing, 23(6):1861-1874, (2002), (with J.E. Tolsma). Copyright SIAM 2002, posted with permission. http://dx.doi.org/10.1137/S106482750037281X

"On Upgrading the Numerics in Combustion Chemistry Codes", Combustion and Flame, 128(3):270-291, (2002), (with D.A. Schwer, J.E. Tolsma and W.H. Green, Jr.). http://dx.doi.org/10.1016/S0010-2180(01)00352-2

"Computer-Construction of Detailed Chemical Kinetic Models for Gas-Phase Reactors", Industrial & Engineering Chemistry Research, 40(23):5362-5370 , (2001), (with W.H. Green, Jr., B. Bhattacharjee, D.M. Matheu, D.A. Schwer, J. Song, R. Sumanthi, H.H. Carstensen, A.M. Dean and J.M. Grenda). http://dx.doi.org/10.1021/ie001088s

"Distributed Models in Plantwide Dynamic Simulators", AIChE Journal, 47(6):1372-1386, (2001), (with W. S. Martinson). http://dx.doi.org/10.1002/aic.690470614

"Pollution Prevention with a Middle Vessel Column", In: Process Design Tools for the Environment, M. El-Halwagi and S. Sikdar, editors, 219-245, Taylor and Francis, (2001), (with W. Cheong).

"Solvent Recovery Opportunities in the Pharmaceutical Industry", Current Opinion in Drug Discovery & Development, 3(6):707-713, (2000).

"Optimization of Hybrid Discrete/Continuous Dynamic Systems", Computers chem. Engng., 24(9/10):2171-2182, (2000), (with S. Galan and J. R. Banga). http://dx.doi.org/10.1016/S0098-1354(00)00586-X

"Modeling, Simulation and Sensitivity Analysis of Hybrid Systems", Proceedings of the 2000 IEEE International Symposium on Computer-Aided Control System Design, Copyright IEEE Control Systems Society 2000, posted with permission.

"No Connection Between the AREA Criterion and Phase Stability has been Established", Industrial & Engineering Chemistry Research, 39(9):3398, ( 2000), (with C. Hwang). http://dx.doi.org/10.1021/ie001100g

"Optimal Operation Processes of Discrete Continuous Biochemical Processes", Computers chem. Engng., 24(2/7):1167-1173, (2000), (with E. Chekhova and A. Gorak). http://dx.doi.org/10.1016/S0098-1354(00)00350-1

"Generalized Branch-and-Cut Framework for Mixed-integer Nonlinear Optimization Problems", Computers chem. Engng., 24(2/7):1361-1366, (2000), (with P. Kesavan). http://dx.doi.org/10.1016/S0098-1354(00)00421-X

"Decomposition Algorithms for Nonconvex Mixed-Integer Nonlinear Programs", AIChE Symposium Series, 96(323):458-461, (2000), (with P. Kesavan).

"DAEPACK: An Open Modeling Environment for Legacy Models", Industrial & Engineering Chemistry Research, 39(6):1826-1839, (2000), (with J. E. Tolsma). http://dx.doi.org/10.1021/ie990734o

"Formal Verification of Sequencing Operations", Computers chem. Engng., 23(11/12):1783-1793, (2000), (with T. Park). http://dx.doi.org/10.1016/S0098-1354(99)00327-0

"Differential-Algebraic Equations of Index 1 may have an Arbitrarily High Structural Index", SIAM Journal on Scientific Computing, 21(6):1987-1990, (2000), (with G. Reiszig and W. Martinson). Copyright SIAM 2000, posted with permission. http://dx.doi.org/10.1137/S1064827599353853

"Computation of Heteroazeotropes. I: Theory", Chem. Engng. Sci., 55(18):3817-3834, (2000), (with J. E. Tolsma). http://dx.doi.org/10.1016/S0009-2509(00)00032-4

"Computation of Heteroazeotropes. II: Efficient Calculation of Changes in Phase Equilibrium Structure", Chem. Engng. Sci., 55(18):3835-3853, (2000), (with J. E. Tolsma). http://dx.doi.org/10.1016/S0009-2509(00)00033-6

"A Differentiation Index for Partial Differential-Algebraic Equations", SIAM Journal on Scientific Computing, 21(6):2295-2315, (2000), (with W. S. Martinson). Copyright SIAM 2000, posted with permission.

"Process-wide Integration of Solvent Mixtures", Computers chem. Engng., 23(10):1365-1380, (1999), (with B. S. Ahmad). http://dx.doi.org/10.1016/S0098-1354(99)00298-7

"A Dynamic Rate-based Model for Multicomponent Batch Distillation", AIChE Journal, 45(9):1953-1962, (1999), (with L. U. Kreul and A. Gorak). http://dx.doi.org/10.1002/aic.690450912

"Screening Models for Batch Process Development. I. Design Targets for Reaction/Distillation Networks", Chem. Engng. Sci., 54(19):4145-4164, (1999), (with R. J. Allgor and L. B. Evans). http://dx.doi.org/10.1016/S0009-2509(99)00150-5

"Screening Models for Batch Process Development. II. Case Studies", Chem. Engng. Sci., 54(18):4065-4087, (1999), (with R. J. Allgor). http://dx.doi.org/10.1016/S0009-2509(99)00151-7

"Efficient Calculation of Sparse Jacobians", SIAM Journal on Scientific Computing, 20(6):2282-2296, (1999), (with J. E. Tolsma). Copyright SIAM 1999, posted with permission. http://dx.doi.org/10.1137/S1064827597316552

"Parametric Sensitivity Functions for Hybrid Discrete/Continuous Systems", Applied Numerical Mathematics, 31(1):17-48, (1999), (with S. Galan and W. F. Feehery). http://dx.doi.org/10.1016/S0168-9274(98)00125-1

"Dynamic Optimization with Equality Path Constraints", Industrial & Engineering Chemistry Research, 38(6):2350-2363, (1999), (w ith W. Feehery). http://dx.doi.org/10.1021/ie9807093

"Mixed Integer Dynamic Optimization I: Problem Formulation", Computers chem. Engng., 23(4/5):567-584, (1999), (with R. J. Allgor). http://dx.doi.org/10.1016/S0098-1354(98)00294-4

"Azeotropic Distillation in a Middle Vessel Batch Column. 1. Model Formulation and Linear Separation Boundaries", Industrial & Engineering Chemistry Research, 38(4):1504-1530, (1999), (with W. Cheong). http://dx.doi.org/10.1021/ie980469r

"Azeotropic Distillation in a Middle Vessel Batch Column. 2. Nonlinear Separation Boundaries", Industrial & Engineering Chemistry Research, 38(4):1531-1548, (1999), (with W. Cheong). http://dx.doi.org/10.1021/ie980470q

"Azeotropic Distillation in a Middle Vessel Batch Column. 3. Model Validation", Industrial & Engineering Chemistry Research, 38(4):1549-1564, (1999), (with W. Cheong). http://dx.doi.org/10.1021/ie980471i

"Solvent Recovery Targeting", AIChE Journal, 45(2):335-349, (1999), (with B. S. Ahmad). http://dx.doi.org/10.1002/aic.690450214

"Modeling of Homogeneous Reactive Separation Processes in Packed Columns", Chem. Engng. Sci., 54(1):19-34, (1999), (with L. U. Kreul and A. Gorak). http://dx.doi.org/10.1016/S0009-2509(98)00239-5

"Dynamic Optimization with State Variable Path Constraints", Computers chem. Engng., 22(9):1241-1256, (1998), (with W. F. Feehery). http://dx.doi.org/10.1016/S0098-1354(98)00012-X

"Thermal Stability Analysis via Elucidation of Hazardous Reaction Stoichiometries", Computers chem. Engng., 22(6):735-745, (1998), (with C. Bruneton and C. Hoff). http://dx.doi.org/10.1016/S0098-1354(97)00256-1

"Computation of Heteroazeotropes", Computers chem. Engng., 22(S):S61-S68, (1998), (with J. E. Tolsma). http://dx.doi.org/10.1016/S0098-1354(98)00039-8

"Dynamic Catalytic Distillation: Advanced Simulation and Experimental Validation", Computers chem. Engng., 22(S):S371-S378, (1998), (with L. U. Kreul, A. Gorak, and C. Dittrich). http://dx.doi.org/10.1016/S0098-1354(98)00077-5

"Dynamic Optimization of Hybrid Systems", Computers chem. Engng., 22(S):S183-S190, (1998), (with S. Galan). http://dx.doi.org/10.1016/S0098-1354(98)00053-2

"Product Sequences in Azeotropic Batch Distillation", AIChE Journal, 44(5):1051-1070, (1998), (with B. S. Ahmad and Y. Zhang). http://dx.doi.org/10.1002/aic.690440506

"On Computational Differentiation", Computers chem. Engng., 22(4/5):475-490, (1998), (with J. E. Tolsma). http://dx.doi.org/10.1016/S0098-1354(97)00264-0

"Dynamic Optimization in a Discontinuous World", Industrial & Engineering Chemistry Research, 37(3):966-981, (1998), (with R. J.Allgor, W. F. Feehery, and S. Galan). http://dx.doi.org/10.1021/ie970738y

"Analysis and Control of Combined Discrete/Continuous Systems: Progress and Challenges in the Chemical Process Industries", AIChE Symposium Series, 93(316):102-114, (1997), (with T. Park).

"Efficient Sensitivity Analysis of Large-Scale Differential-Algebraic Systems", Applied Numerical Mathematics, 25(1):41-54, (1997), (with W. F. Feehery and J. E. Tolsma). http://dx.doi.org/10.1016/S0168-9274(97)00050-0

"Implicit Model Checking of Logic Based Control Systems", AIChE Journal, 43(9):2246-2260, (1997), (with T. Park). http://dx.doi.org/10.1002/aic.690430911

"Mixed Integer Dynamic Optimization", Computers chem. Engng., 21(S):S451-S456, (1997), (with R. J. Allgor). http://dx.doi.org/10.1016/S0098-1354(97)87543-6

"Computer Aided Identification of Chemical Reaction Hazards", Computers chem. Engng., 21(S):S311-S317, (1997), (with C. Bruneton and C. Hoff). http://dx.doi.org/10.1016/S0098-1354(97)87520-5

"Binary Logic Diagrams Imply Nonunique Functionality", ISA Transactions, 35:337-343, (1996), (with T. Park). http://dx.doi.org/10.1016/S0019-0578(96)00045-6

"A Differentiation-Based Approach to Dynamic Simulation and Optimization with High-Index Differential-Algebraic Equations", Computational Differentiation, M. Berz, C. Bischof, G. Corliss, and A. Griewank editors, SIAM, (1996), (with W. Feehery).

"Homogeneous Multicomponent Azeotropic Batch Distillation", AIChE Journal, 40(12):3419-3433, (1996), (with B. Ahmad). http://dx.doi.org/10.1002/aic.690421212

"Dynamic Simulation and Optimization with Inequality Path Constraints", Computers chem. Engng., 20(S):S707-S712, (1996), (with W. Feehery). http://dx.doi.org/10.1016/0098-1354(96)00127-5

"Optimal Batch Process Development", Computers chem. Engng., 20(6/7):885-896, (1996), (with R. J. Allgor, M. D. Barrera, and L. B. Evans). http://dx.doi.org/10.1016/0098-1354(95)00185-9

"State Event Location in Differential-Algebraic Models", ACM Transactions on Modelling and Computer Simulation, 6(2):137-165, (1996), (with T. Park). 459k Encapsulated PostScript. Illustrations - 311k Encapsulated PostScript. http://doi.acm.org/10.1145/232807.232809

"Solvent Recovery Targeting for Pollution Prevention in Pharmaceutical and Specialty Chemical Manufacturing", AIChE Symposium Series, 90(303):59-73, (1994), (with B. Ahmad).

"The Modelling of Combined Discrete/Continuous Processes", AIChE Journal , 40:966-979, (1994), (with C.C. Pantelides). http://dx.doi.org/10.1002/aic.690400608

"Batch Process Simulation Why and How", Proceedings of AspenWorld94, (1994).

"Deterministic and Stochastic Simulation of Batch/Semicontinuous Processes", Computers chem. Engng., 18:S343-S347, (1994), (with R. Watzdorf, U. Naf and C.C. Pantelides). http://dx.doi.org/10.1016/0098-1354(94)80057-X

"gPROMS - a Combined Discrete/Continuous Modelling Environment for Chemical Processing Systems", Simulation Series, 25(3):25-34, (1993), (with C. C. Pantelides).

"Equation-Oriented Dynamic Simulation - Current Status and Future Perspectives", Computers chem. Engng., 17(S):S263-S285, (1993), (with C.C. Pantelides). http://dx.doi.org/10.1016/0098-1354(93)80240-N


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Web site last updated by Brian Simpson (bms at mit dot edu), July 14, 2008.