Erratum: A quasi-sequential approach to large-scale dynamic optimization problems (AIChE Journal (2006) (255-268) DOI:10.1002/aic.10625);A quasi-sequential approach to large-scale dynamic optimization problems

AIChE Journal

Volumn 52, Issue 1, 2006, Pages 255-268

  Hong, Weirong ^a   Wang, Shuqing ^a   Li, Pu ^b   Wozny, Günter ^c   Biegler, Lorenz T ^d  

^a STATE KEY LABORATORY OF INDUSTRIAL CONTROL TECHNOLOGY   (China)

^b ILMENAU UNIVERSITY OF TECHNOLOGY   (Germany)

^c TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^d CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Dynamic optimization; Nonlinear programming, collocation; Quasi sequential approach

Indexed keywords

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; COSTS; CRITICAL PATH ANALYSIS; FINITE ELEMENT METHOD; NONLINEAR PROGRAMMING; OPTIMIZATION; QUADRATIC PROGRAMMING;

DYNAMIC OPTIMIZATION; NONLINEAR PROGRAMMING, COLLOCATION; PATH CONSTRAINTS; QUASI-SEQUENTIAL APPROACH;

OPTIMAL CONTROL SYSTEMS;

COMPUTATIONAL COMPLEXITY; CONSTRAINT THEORY; COSTS; CRITICAL PATH ANALYSIS; FINITE ELEMENT METHOD; NONLINEAR PROGRAMMING; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; QUADRATIC PROGRAMMING;

EID: 33645274675     PISSN: 00011541     EISSN: 15475905     Source Type: Journal    
DOI: 10.1007/11816157_161     Document Type: Erratum

References (38)

1. Biegler LT, Grossmann IE. Retrospective on optimization. Comput Chem Eng. 2004;28:1169-1192.
2. Logsdon JS, Biegler LT. Decomposition strategies for large-scale dynamic optimization problems. Chem Eng Sci. 1992;47:851-864.
3. Vassiliadis VS, Sargent RWH, Pantelides CC. Solution of a class of multistage dynamic optimization problems. 1. Problems without path constraints. Ind Eng Chem Res. 1994;33:2111-2122.
4. Barton PI, Allgor RJ, Feehery WF Galan S. Dynamic optimization in a discontinuous world. Ind Eng Chem Res. 1998;37:966-981.
5. Cervantes AM, Biegler LT. Large-scale DAE optimization using simultaneous nonlinear programming formulations. AIChE J. 1998;44:1038.
6. Cervantes AM, Biegler LT. A stable elemental decomposition for dynamic process optimization. J Comput Appl Math. 2000;120:41-57.
7. Biegler LT Nocedal J Schmid C, Teraet D. Numerical experience with a reduced Hessian method for large scale constrained optimization. Comput Optim Appl. 2000;15:45-67.
8. Biegler LT, Cervantes AM, Wächter A. Advances in simultaneous strategies for dynamic optimization. Chem Eng Sci. 2002;57:575-593.
9. Li P, Arellano-Garcia H, Wozny G. Optimization of a semibatch distillation process with model validation on the industrial site. Ind Eng Chem Res. 1998;37:1341-1350.
10. Li P, Wendt M, Arellano-Garcia H, Wozny G. Optimal operation of distillation processes under uncertain inflows accumulated in a feed tank. AIChE J. 2002;48:1198-1211.
11. Wendt M, Königseder R, Li P, Wozny G. Theoretical and experimental study on startup strategies for a heat-solved distillation column system. Chem Eng Res Des Trans IChemE. 2003;81a:153-161.
12. van Schijndel J, Pistikopoulos EN. Towards the solution of process design, process control and process operability - Current status and future trends. In: Malone M, Trainham J, Carnahan B, eds. Foundations of Computer Aided Process Design 99 (AIChE Symp Ser 323); 2000;99-112.
13. Cervantes AM, Biegler LT. Optimization strategies for dynamic systems. In: Floudas C, Pardalos P, eds. Encyclopedia of Optimization. Dordrecht, The Netherlands: Kluwer Academic Publishers; 1999.
14. Storen S, Hertzberg T. The sequential linear quadratic programming algorithm for solving dynamic optimization problems - A review. Comput Chem Eng. 1995;19S:S495-S500.
15. Biegler LT. Advances in nonlinear programming concepts for process control. J Proc Contr. 1998;8:301-311.
16. Feehery WF. Dynamic Optimization with Path Constraints. PhD Dissertation. Cambridge, MA: Massachusetts Institute of Technology; 1998.
17. Feehery WF, Barton PI. Dynamic optimization with state variable path constraints. Comput Chem Eng. 1998;22:1241-1256.
18. Bock HG, Plitt KJ. A multiple shooting algorithm for direct solution of optimal control problem. Proc of 9th IF AC World Congress, Budapest, Hungary, July 2-6; 1984.
19. Leineweber DB, Schafer A, Bock HG, Schioder JP. An efficient multiple shooting based reduced SQP strategy for large-scale dynamic process optimization. Comput Chem Eng. 2003;27:167.
20. Biegler LT. Solution of dynamic optimization problems by successive quadratic programming and orthogonal collocation. Comput Chem Eng. 1984;8:243-248.
21. Floudas CA. Deterministic Global Optimization: Theory, Algorithms and Applications. Dordrecht, The Netherlands: Kluwer Academic; 2000.
22. Tawarmalani M, Sahinidis NV. Convexification and Global Optimization in Continuous and Mixed-Integer Nonlinear Programming: Theory, Algorithms, Software, and Applications. Dordrecht, The Netherlands: Kluwer Academic; 2002.
23. Biegler LT, Nocedal J, Schmid C. A reduced Hessian method for large scale constrained optimization. SIAM J Optim. 1995;5:314-347.
24. Bequette BW. Nonlinear control of chemical processes: A review. Ind Eng Chem Res. 1991;30:1391-1413.
25. Sistu PB, Gopinath RS, Bequette BW. Computational issues in non-linear predictive control. Comput Chem Eng. 1993;17:361-366.
26. Pytlak R. Numerical Methods for Optimal Control Problems With State Constraints (Lecture Notes in Mathematics No. 1707). Berlin, Germany: Springer-Verlag; 1999.
27. Schittkowski K. NLPQL: A FORTRAN subroutine solving constrained nonlinear programming problems. Ann Oper Res. 1985;5:485-500.
28. Byrd R. An example of irregular convergence in some constrained optimization methods that use the projected Hessian. Math Prog. 1985;32:232-237.
29. Yuan Y. An only 2-step Q-superlinear convergence example for some algorithms that use reduced Hessian approximations. Math Prog. 1985;32:224-231.
30. . International Mathematical Subroutine Library (IMSL) Visual Numerics web page. http://www.vni.com/products/imsl/alphabetized_functions.html. Bloomington, IN: IMSL, Indiana University.
31. Wächter A, Biegler LT. On the implementation of an interior point filter line search algorithm for large-scale nonlinear programming. Math Prog. 2005; published online 28 April.
32. Wächter A. An Interior Point Algorithm for Large-Scale Nonlinear Optimization with Applications in Process Engineering. PhD Dissertation. Pittsburgh, PA: Carnegie Mellon University; 2002.
33. Nocedal J, Wright SJ. Numerical Optimization. New York, NY: Springer-Verlag; 1999.
34. Henson MA, Seborg DE. Nonlinear Process Control. Upper Saddle River, NJ: Prentice Hall; 1997.
35. Pannocchia G, Rawlings J. Disturbance models for offset-free model predictive control. AIChE J. 2003;49:426-437.
36. Ternet D, Biegler LT. Interior-point methods for reduced Hessian successive quadratic programming. Comput Chem Eng. 1999;23:859-873.
37. Löwe K. Theoretical und experimental untersuchungen über das anfahren und die prozeßführung energetisch und stofflich gekoppelter destillationskolonnen. PhD Dissertation. Berlin, Germany: Technishe Universität; 2001.
38. Papamichail I, Adjiman CS. Globe optimization of dynamic systems. Comput Chem Eng. 2004;28:403.