An inexact trust-region algorithm for the optimization of periodic adsorption processes

Industrial and Engineering Chemistry Research

Volumn 49, Issue 23, 2010, Pages 12004-12013

  Vetukuri, Sree Rama Raju ^a,b   Biegler, Lorenz T ^a,b   Walther, Andrea ^c  

^a NATIONAL ENERGY TECHNOLOGY LABORATORY   (United States)

^b CARNEGIE MELLON UNIVERSITY   (United States)

^c UNIVERSITY OF PADERBORN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADJOINTS; ADSORPTION PROCESS; AUTOMATIC DIFFERENTIATIONS; COMPUTATION TIME; CONVERGENCE RATES; CYCLIC OPERATION; CYCLIC STEADY STATE; ENERGY EFFICIENT; EQUALITY CONSTRAINTS; FLUID SOLID INTERACTION; GAS SEPARATIONS; HESSIAN-VECTOR PRODUCTS; INEQUALITY CONSTRAINT; INTEGRATION ALGORITHM; JACOBIANS; MINIMIZATION PROBLEMS; NONISOTHERMAL; OPTIMIZATION PROBLEMS; OPTIMIZATION STRATEGY; OVERALL COSTS; QUASI-NEWTON METHODS; SECOND ORDERS; SENSITIVITY EQUATIONS; SEPARATION TECHNIQUES; SIMULATED MOVING BED SYSTEMS; STEADY STATE; TRUST-REGION ALGORITHMS; VACUUM SWING ADSORPTIONS;

ADSORPTION; ALGORITHMS; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; NEWTON-RAPHSON METHOD; OPTIMIZATION; PROBLEM SOLVING; VECTOR SPACES;

COMPUTATIONAL EFFICIENCY;

EID: 78649585111     PISSN: 08885885     EISSN: 15205045     Source Type: Journal    
DOI: 10.1021/ie100706c     Document Type: Article

References (31)

1. Walther, A. A First-Order Convergence Analysis of Trust-Region Methods with Inexact Jacobians SIAM J. Optim. 2008, 19, 307-325
2. Arora, N.; Biegler, L. T. A Trust Region SQP Algorithm for Equality Constrained Parameter Estimation with Simple Parameter Bounds Comput. Optim. Appl. 2004, 28, 51-86
3. Ozyurt, D.; Barton, P. Application of Targeted Automatic Differentiation to Large Scale Dynamic Optimization Lect. Notes Comput. Sci. Eng. 2006, 50, 235-248
4. Ruthven, D. M.; Farooq, S.; Knaebel, K. S. Pressure Swing Adsorption; VCH Publishers: New York, 1994.
5. Kawajiri, Y.; Biegler, L. T. Optimization Strategies for Simulated Moving Bed and Power-Feed Processes AIChE J. 2006, 52, 1343-1350
6. Jiang, L.; Fox, V. G.; Biegler, L. T. Simulation and Optimal Design of Multiple-Bed Pressure Swing Adsorption Systems AIChE J. 2004, 50, 2904-2917 (Pubitemid 39490561)
7. Zavala, V. M.; Laird, C. D.; Biegler, L. T. Fast solvers and rigorous models: can both be accommodated in NMPC? J. Robust Nonlinear Control 2008, 18, 800-815
8. Vassiliadis, V. S. Computational Solution of Dynamic Optimization Problems with General Differential-Algebraic Constraints. Thesis, University of London: London, 1993.
9. Fletcher, R. Practical Methods of Optimization; Wiley: New York, 1987.
10. Vassiliadis, V. S.; Canto, E. B.; Banga, J. R. Second-Order Sensitivities of General Dynamic Systems with Application to Optimal Control Problems Chem. Eng. Sci. 1999, 54, 3851-3860
11. Hong, W.; Wang, S.; Li, P.; Wozny, G.; Biegler, L. T. Quasi-sequential Approach to Large-Scale Dynamic Optimization Problems AIChE J. 2006, 52, 255
12. 2 Capture Ind. Eng. Chem. Res. 2010, 49, 5066-5079
13. 2 Capture AIChE J. 2010, 56, 1813-1828
14. Omojokun, E. O. Trust Region Algorithms for Optimization with Nonlinear Equality and Inequality Constraints. Thesis, University of Colorado, Boulder, CO, 1989.
15. Conn, A. R.; Gould, N. I. M.; Toint, P. L. Trust-Region Methods; Society for Industrial and Applied Mathematics: Philadelphia, PA, 2000.
16. Byrd, R. H.; Curtis, F. E.; Nocedal, J. An Inexact SQP Method for Equality Constrained Optimization SIAM J. Optim. 2008, 19, 351-369
17. Heinkenschloss, M.; Vicente, L. N. Analysis of Inexact Trust-Region SQP Algorithms SIAM J. Optim. 2002, 12, 283-302
18. Walther, A.; Biegler, L. T. Numerical Experiments with an Inexact Jacobian Trust-Region Algorithm. Comput. Optim. Appl., published online May 5, 2009, DOI: 10.1007/s10589-009-9247-4.
19. Bloss, K. F.; Biegler, L. T.; Schiesser, W. E. Dynamic Process Optimization through Adjoint Formulations and Constraint Aggregation Ind. Eng. Chem. Res. 1999, 38 (2) 421-432
20. Biegler, L. T.; Nocedal, J.; Schmid, C. A Reduced Hessian Method for Large-Scale Constrained Optimization SIAM J. Optim. 1995, 5, 314-347
21. Nocedal, J.; Wright, S. Numerical Optimization; Springer: New York, 1999.
22. Lalee, M.; Nocedal, J.; Plantenga, T. On the Implementation of an Algorithm for Large-Scale Equality Constrained Optimization SIAM J. Optim. 1998, 8, 682-706
23. Griewank, A.; Walther, A. On Constrained Optimization by Adjoint-Based Quasi-Newton Methods Optim. Methods Software 2002, 17, 869-889
24. Griewank, A.; Walther, A.; Korzec, M. Maintaining Factorized KKT Systems Subject to Rank-One Updates of Hessians and Jacobians Optim. Methods Software 2007, 22 (2) 279-295
25. Stange, P.; Griewank, A.; Bollhöfer, M. On the Efficient Update of Rectangular LU-Factorizations Subject to Low Rank Modifications Electron. Trans. Numer. Anal. 2007, 26, 161-177
26. Lin, C.; More, J. J. Newton's Method for Large Bound-Constrained Optimization Problems SIAM J. Optim. 1999, 9, 1100-1127
27. Gay, D. M. Computing Optimal Locally Constrained Steps SIAM J. Sci. Stat. Comput. 1981, 2, 186
28. Gay, D. M. A Trust-Region Approach to Linearly Constrained Optimization. Numerical Analysis Proceedings (Dundee, 1983); Griffiths, D. F., Ed.; Springer-Verlag: Berlin, 1983; p 72.
29. Jiang, L.; Biegler, L. T.; Fox, V. G. Simulation and Optimization of Pressure-Swing Adsorption Systems for Air Separation AIChE J. 2003, 49, 1140-1157
30. Griewank, A.; Juedes, D.; Utke, J. ADOL-C: A Package for the Automatic Differentiation of Algorithms written in C/C++ ACM Trans. Math. Software 1996, 22, 131-167
31. Hindmarsh, A. C.; Serban, R. User Documentation for CVODES, an ODE Solver with Sensitivity Analysis Capabilities; LLNL Report UCRL-MA-148813; Lawrence Livermore National Laboratory: CA, 2002.