Abstract
Some chemical process design systems include a numerical optimisation capability and this is increasingly being demanded. The incorporation of interval based global optimisation in modular based systems which dominate the market is difficult because of the way modules are used as black boxes. In this paper a way of implementing global optimisation by recasting the models in a generic way is discussed. Two interval based algorithms are presented with results on two simple process optimisation problems giving an idea of the price that may need to be paid for the convenience of the modular systems. The two interval algorithms are based on reformulating the problem to be able to provide tighter estimates for the lower bounds on convex nonlinearities.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Edgar, T. F. and Himmelblau, D. M.: Optimization of Chemical Processes, Chemical Engineering Series. McGraw-Hill International. New York, 1988.
Krotschek, C. and Narodoslawsky, M.: The sustainable process index. A new dimension in ecological evaluation. Ecological Engineering 6(4) (1996). 241.
Pistikopoulos, E. N., Stefanis, S. K. and Livingston, A. G.: A methodology for minimum environmental impact analysis, American Institute of Chemical Engineers Symposium Series 90(303) (1994), 139–150.
Steffens, M. A., Fraga, E. S. and Bogle, I. D. L.: Multicriteria process synthesis for generating sustainable and economic bioprocesses, Comput. Chem. Engng. 23 (1999), 1455–1467.
Kallrath, J.: Mixed integer optimization in the chemical process industry: Experience, potential and future perspectives, Trans. I Chem E 78(Part A) (2000), 809–822.
Biegler, L. T.: Simultaneous modular simulation and optimization. In: Foundations of Computer-Aided Process Design, Proceedings of the Second International Conference held at Snowmass, Colorado, 1983.
Perkins, J. D.: Equation oriented flowsheeting, In: Foundations of Computer Aided Process Design, Proceedings of the Second International Conference held at Snowmass, Colorado, 1983.
Grossmann, I. E. (ed.): Global Optimization in Engineering Design, Kluwer Acad. Publ., Dordrecht, 1996.
Floudas, C. A.: Recent advances in global optimization for process synthesis, design and control: Enclosure of all solutions. Computers Chem. Engng. 23(Suppl) (1999), S963–S973.
Adjiman, C. S., Androulakis, I. P., Maranas, C. D. and Floudas, C. A.: A global optimisation method, αBB, for process design, Computers Chem. Engng. 20S (1996), S419–S424.
Vaidyanathan, R. and El-Halwagi, M.: Global optimisation of nonconvex programs via interval analysis, Comput. Chem. Engng. 18 (1994), 889.
Smith, E. M. B. and Pantelides, C. C.: Global optimisation of general process models, In: I. E. Grossmann (ed.), Global Optimisation for Engineering Design, Kluwer Acad. Publ., Dordrecht, 1996, pp. 356–386.
Kocis, G. R. and Grossmann, I. E.: Global optimization of nonconvex mixed-integer nonlinear-programming (MINLP) problems in process synthesis, Ind. Eng. Chem. Res. 27(8) (1991), 1407–1421.
Androulakis, I. P. and Venkatsubramanian, V.: A genetic algorithmic framework for process design and optimization, Computers Chem. Engng. 15(4) (1991), 217–228.
Byrne, R. P. and Bogle, I. D. L.: Global optimisation of constraiuned non-convex programs using reformulation and interval analysis, Computers Chem. Engng. 23 (1999), 1341–1350.
Garrard, A. and Fraga, E. S.: Mass exchange network synthesis using genetic algorithms, Computers Chem. Eng. 22(12) (1998), 1837–1850.
Quesada, I. and Grossmann, I. E.: Global optimization algorithm for heat-exchanger networks, Ind. Eng. Chem. Res. 32(3) (1993), 487–99.
Quesada, I. and Grossmann, I. E.: Global optimization of bilinear process networks with multicomponent flows, Comput. Chem. Engng. 19(12) (1995), 1219–1242.
Moore, R. E.: Interval Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1966.
Hansen, E.: Global Optimization Using Interval Analysis, Marcel Dekker, New York, 1992.
Ratschek, H. and Rockne, J.: New Computer Methods for Global Optimization, Ellis Horwood Ltd., Chichester, West Sussex, England, 1988.
Ryoo, H. S. and Sahinidis, N. V.: Global optimization of nonconvex NLPs and MINLPs with applications in process design, Computers Chem. Engng. 19(5) (1995), 551–566.
Hansen, P., Jaumard, B. and Lu, S. H.: An analytical approach to global optimization, Math. Programming 52 (1991), 227–254.
McCormick, G. P.: Computability of global solutions to factorable nonconvex programs: Part 1 — Convex underestimating problems, Math. Programming 10 (1976), 147–175.
Rall, L. B.: Automatic Differentiation: Techniques and Applications, Lecture Notes in Comput. Sci., Springer-Verlag, Berlin, 1981.
Byrne, R. P. and Bogle, I. D. L.: Global optimization of modular process flowsheets, Ind. Eng. Chem. Res. 39 (2000), 4296–4301.
Byrne, R. P. and Bogle, I. D. L.: Global optimisation using interval analysis, In: I. E. Grossmann (ed.), Global Optimisation for Engineering Design, Kluwer Acad. Publ., Dordrecht, 1996, pp. 155–174.
Floudas, C. A.: Nonlinear and Mixed-Integer Optimisation. Fundamentals and Applications, Oxford University Press, New York, 1995.
Vaidyanathan, R. and El-Halwagi, M.: Global optimisation of MINLPs by interval analysis, In: I. E. Grossmann (ed.), Global Optimisation for Engineering Design, Kluwer Acad. Publ., Dordrecht, 1996, pp. 175–195.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Bogle, I.D.L., Byrne, R.P. (2002). Global Optimisation of Chemical Process Flowsheets. In: Dzemyda, G., Šaltenis, V., Žilinskas, A. (eds) Stochastic and Global Optimization. Nonconvex Optimization and Its Applications, vol 59. Springer, Boston, MA. https://doi.org/10.1007/0-306-47648-7_3
Download citation
DOI: https://doi.org/10.1007/0-306-47648-7_3
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-0484-1
Online ISBN: 978-0-306-47648-8
eBook Packages: Springer Book Archive