skip to main content
10.1145/1543834.1543838acmconferencesArticle/Chapter ViewAbstractPublication PagesgecConference Proceedingsconference-collections
research-article

Optimizing constrained non-convex NLP problems in chemical engineering field by a novel modified goal programming genetic algorithm

Published: 12 June 2009 Publication History

Abstract

A novel modified goal programming genetic algorithm (MGPGA) is presented in this paper to solve constrained non-convex nonlinear programming (NLP) problems. This new method eliminates the complex equality constraints from original model and transforms them as parts of goal functions with higher priority weighting factors. At the same time, the original objective function has the lowest priority weighting factor. After all the absolute deviations of these equality constraints objectives are minimized, the final optimized solutions can be gained. Some applications in chemical engineering field are tested by this MGPGA. The proposed MGPGA demonstrates its advantages in better performances and abilities of solving non-convex NLP problems especially for those with equality constraints.

References

[1]
Ryoo, H.S. and Sahinidis, N.V. 1995. Global optimization of nonconvex NLPs and MINLPs with applications in process design. Comput. Chem. Eng. 19, 5, 551--566.
[2]
Liu, B. 2002. Theory and Practice of Uncertain Programming. Physica-Verlag Heidelberg, New York, 6--7.
[3]
Kocis, G.R. and Grossmann, I.E. 1987. Relaxation strategy for the structural optimization of process flow sheets. Ind. Eng. Chem. Res. 26, 9, 1869--1880.
[4]
Kocis, G.R. and Grossmann, I.E. 1988. Global optimization of nonconvex mixed-integer nonlinear programming (MINLP) problems in process synthesis. Ind. Eng. Chem. Res. 27, 1407--1421.
[5]
Kocis, G.R. and Grossmann, I.E. 1989. A modeling and decomposition strategy for the MINLP optimization of process flowsheets. Comput. Chem. Eng. 13, 10, 797--819.
[6]
Floudas, C.A., Aggarwal, A., and Ciric, A.R. 1989. Global optimum search for non-convex NLP and MINLP problems. Comput. Chem. Eng. 13, 10, 1117--1132.
[7]
Biegler, L.T. et al. 2000. Numerical experience with a reduced Hessian method for large scale constrained optimization. Computational Optimization and Applications. 15, 45--56.
[8]
Tapio, W. et al. 1998. An extended cutting plane method for a class of non-convex MINLP problems. Comput. Chem. Eng. 22, 3, 357--365.
[9]
Cuiwen, C., Xingsheng, G. and Zhong X. 2009. Chance constrained programming models for refinery short-term crude oil scheduling problem, Applied Mathematical Modelling, 33, 3, 1696--1707.
[10]
Androulakis, I.P. and Venkatasubramanian, V.A. 1991. Genetic algorithmic framework for process design and optimization. Comput. Chem. Eng. 15, 4, 217--228.
[11]
Garrard, A. and Fraga, E.S. 1998. Mass exchange network synthesis using genetic algorithms. Comput. Chem. Eng. 22, 12, 1837--1850.
[12]
Ku, H.M. and Karimi, I. 1991. An evaluation of simulated annealing for batch scheduling. Ind. Eng. Chem. Res. 30, 1, 163--169.
[13]
Cardoso, M.F. et al. 2000. Optimization of reactive distillation processes with simulated annealing. Comput. Chem. Eng. 55, 5059--5078.
[14]
Jayaraman, V.K. et al. 2001. Dynamic optimization of fed-batch bioreactors using the ant algorithm. Biotechnology Program. 17, 81--88.
[15]
Michalewicz, Z. and Schoenauer, M. 1996. Evolutionary algorithms for constrained parameter optimization problems. Evolutionary Computation. 4, 1, 1--32.
[16]
Yiqing, L., Xigang, Y. and Yongjian Liu. 2007. An improved PSO algorithm for solving non-convex NLP/MINLP problems with equality constraints. Comput. Chem. Eng. 31, 3, 153--162.
[17]
Deb, K. 2000. An efficient constraint handling method for genetic algorithms. Comput. Methods Appl. Mech. Eng. 18, 311--318.
[18]
Summanwar, V.S. et al. 2002. Solution of constrained optimization problems by multi-objective genetic algorithm. Comput. Chem. Eng. 26, 1481--1492.
[19]
Surry, P.D. and Radcliffe, N.J. 1997. The COMOGA method: constrained optimization by multi-objective genetic algorithms. Control and Cybernetics. 26, 3, 391--412.
[20]
Charnes, A. and Cooper, W.W. 1961. Management Models and Industrial Applications of Linear Programming. Wiley, New York.
[21]
Liebman, J. et al. 1986. Modeling and optimization with GINO. The Science Press, Palo Alto, CA.
[22]
Swaney, R.E. 1990. Global solution of algebraic nonlinear programs. AIChE Annl. Mtg., Chicago, IL.
[23]
Hock, W. and Schittkowski, K. 1981. Test examples for nonlinear programming codes. Lecture notes in economics and mathematical systems. 187, Spring-Verlag, Berlin, Germany.
[24]
Mezura-Montes, E., Coello Coello, C.A. 2005. A simple multimembered evolution strategy to solve constrained optimization problems. IEEE Transactions on Evolutionary Computation. 9, 1, 1--17.
[25]
Venkatraman, S. and Yen, G.G. 2005. A genetic framework for constrained optimization using genetic algorithm. IEEE Transactions on Evolutionary Computation. 9, 4, 424--435.
[26]
Koziel, S. and Michalewicz, Z. 1999. Evolutionary algorithms, homomorphous mappings, and constrained parameter optimization. Evolutionary computation. 7, 1, 19--44.
[27]
Manousiouthakis, M. and Sourlas, D. 1992. A global optimization approach to rationally constrained rational programming. Comput. Chem. Eng. 115, 127--147.

Index Terms

  1. Optimizing constrained non-convex NLP problems in chemical engineering field by a novel modified goal programming genetic algorithm

      Recommendations

      Comments

      Information & Contributors

      Information

      Published In

      cover image ACM Conferences
      GEC '09: Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
      June 2009
      1112 pages
      ISBN:9781605583266
      DOI:10.1145/1543834
      Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

      Sponsors

      Publisher

      Association for Computing Machinery

      New York, NY, United States

      Publication History

      Published: 12 June 2009

      Permissions

      Request permissions for this article.

      Check for updates

      Author Tags

      1. equality constraints
      2. mgpga
      3. non-convex NLP

      Qualifiers

      • Research-article

      Conference

      GEC '09
      Sponsor:

      Contributors

      Other Metrics

      Bibliometrics & Citations

      Bibliometrics

      Article Metrics

      • 0
        Total Citations
      • 182
        Total Downloads
      • Downloads (Last 12 months)1
      • Downloads (Last 6 weeks)0
      Reflects downloads up to 03 Mar 2025

      Other Metrics

      Citations

      View Options

      Login options

      View options

      PDF

      View or Download as a PDF file.

      PDF

      eReader

      View online with eReader.

      eReader

      Figures

      Tables

      Media

      Share

      Share

      Share this Publication link

      Share on social media