206
Views
8
CrossRef citations to date
0
Altmetric
Original Articles

Applying the approximation method PAINT and the interactive method NIMBUS to the multiobjective optimization of operating a wastewater treatment plant

, &
Pages 328-346 | Received 20 May 2013, Accepted 29 Jan 2014, Published online: 20 Mar 2014

References

  • Ackermann, H., A. Newman, H. Röglin, and B. Vöcking. 2007. “Decision-Making Based on Approximate and Smoothed Pareto Curves.” Theoretical Computer Science 378 (2): 253–270. doi: 10.1016/j.tcs.2007.02.034
  • Aittokoski, T., and K. Miettinen. 2008. “Cost Effective Simulation-Based Multiobjective Optimization in the Performance of an Internal Combustion Engine.” Engineering Optimization 40 (2): 593–612. doi: 10.1080/03052150801914429
  • Aittokoski, T., and K. Miettinen. 2010. “Efficient Evolutionary Approach to Approximate the Pareto-Optimal Set in Multiobjective Optimization, UPS-EMOA.” Optimization Methods and Software 25 (3): 841–858. doi: 10.1080/10556780903548265
  • Bezerkin, V. E., G. K. Kamenev, and A. V. Lotov. 2006. “Hybrid Adaptive Methods for Approximating a Nonconvex Multidimensional Pareto Frontier.” Computational Mathematics and Mathematical Physics 46 (3): 1918–1931.
  • Buchanan, J. T. 1997. “A Naive Approach for Solving MCDM Problems: The GUESS Method.” Journal of the Operational Research Society 48 (3): 202–206.
  • Eaton, J. W. 2002. The GNU Octave Manual. Bristol, UK: Network Theory Ltd.
  • Eskelinen, P., K. Miettinen, K. Klamroth, and J. Hakanen. 2010. “Pareto Navigator for Interactive Nonlinear Multiobjective Optimization.” OR Spectrum 32 (6): 211–227. doi: 10.1007/s00291-008-0151-6
  • Fortune, S. 1997. “Voronoi Diagrams and Delaunay Triangulations.” In Handbook of Discrete and Computational Geometry, edited by J. E. Goodman and J. O'Rourke, 377–388. CRC Press, Boca Raton.
  • GPS-X Simulator Home Page. 2014. Accessed February 7. http://www.hydromantis.com/GPS-X.html
  • Hakanen, J., Y. Kawajiri, K. Miettinen, and L. T. Biegler. 2007. “Interactive Multi-Objective Optimization for Simulated Moving Bed Processes.” Control and Cybernetics 36 (2): 282–320.
  • Hakanen, J., K. Miettinen, and K. Sahlstedt. 2011. “Wastewater Treatment: New Insight Provided by Interactive Multiobjective Optimization.” Decision Support Systems 51 (3): 328–337. doi: 10.1016/j.dss.2010.11.026
  • Hakanen, J., K. Miettinen, and K. Sahlstedt. 2013. “Wastewater Treatment Plant Design and Operation under Multiple Conflicting Objective Functions. ”jEnvironmental Modelling & Software 46 (7–8): 240–249.
  • Hämäläinen, J. P., K. Miettinen, P. Tarvainen, and J. Toivanen. 2003. “Interactive Solution Approach to a Multiobjective Optimization Problem in Paper Machine Headbox Design.” Journal of Optimization Theory and Applications 116 (3): p 265–281. doi: 10.1023/A:1022453820000
  • Hartikainen, M., K. Miettinen, and M. M. Wiecek. 2011a. “Constructing a Pareto Front Approximation for Decision Making.” Mathematical Methods of Operations Research 73 (4): 209–234. doi: 10.1007/s00186-010-0343-0
  • Hartikainen, M., K. Miettinen, and M. M. Wiecek. 2011b. “Pareto Front Approximations for Decision Making with Inherent Non-Dominance.” In New State of MCDM in the 21st Century, Selected Papers from the 20th International Conference on Multiple Criteria Decision Making 2009, edited by Y. Shi, S. Wang, G. Kou, and J. Wallenius, 35–46. Berlin: Springer-Verlag.
  • Hartikainen, M., K. Miettinen, and M. M. Wiecek. 2012. “PAINT: Pareto Front Interpolation for Nonlinear Multiobjective Optimization.” Computational Optimization and Applications 52 (4): 845–867. doi: 10.1007/s10589-011-9441-z
  • Hasenjäger, M., and B. Sendhoff. 2005. “Crawling Along the Pareto Front: Tales From the Practice.” In Proceedings of the 2005 IEEE Congress on Evolutionary Computation (IEEE CEC 2005), 174–181. Piscataway, NJ: IEEE Press.
  • Heikkola, Erkki, Kaisa Miettinen, and Paavo Nieminen. 2006. “Multiobjective Optimization of an Ultrasonic Transducer Using NIMBUS.” Ultrasonics 44 (4): 368–380. doi: 10.1016/j.ultras.2006.04.004
  • Hwang, C., and A. S. M. Masud. 1979. Multiple Objective Decision Making – Methods and Applications: A State-of-the-Art Survey. Berlin: Springer-Verlag.
  • IBM ILOG CPLEX Optimization Studio Home Page. 2014. Accessed February 7. http://www-01.ibm.com/software/integration/optimization/cplex-optimization-studio/
  • Korhonen, P., and J. Wallenius. 1996. “Behavioural Issues in MCDM: Neglected Research Questions.” Journal of Multi-Criteria Decision Analysis 5 (3): 178–182. doi: 10.1002/(SICI)1099-1360(199609)5:3<178::AID-MCDA123>3.0.CO;2-P
  • Larichev, O. I. 1992. “Cognitive Validity in Design of Decision-Aiding Techniques.” Journal of Multi-Criteria Decision Analysis 3 (16): 127–138. doi: 10.1002/mcda.4020010303
  • Laukkanen, T., T.-M. Tveit, V. Ojalehto, K. Miettinen, and C.-J. Fogelholm. 2010. “An Interactive Multi-Objective Approach to Heat Exchanger Network Synthesis.” Computers & Chemical Engineering 34 (3): 943–952. doi: 10.1016/j.compchemeng.2010.01.002
  • Lotov, A. V., V. A. Bushenkov, and G. A. Kamenev. 2004. Interactive Decision Maps. Boston, MA: Kluwer Academic.
  • Miettinen, K. 1999. Nonlinear Multiobjective Optimization. Boston, MA: Kluwer Academic.
  • Miettinen, K. 2003. “Interactive Nonlinear Multiobjective Procedures.” In Multiple Criteria Optimization: State of the Art Annotated Bibliographic Surveys, edited by M. Ehrgott and X. Gandibleux, 227–276. New York: Kluwer Academic.
  • Miettinen, K. 2006. “IND-NIMBUS for Demanding Interactive Multiobjective Optimization.” In Multiple Criteria Decision Making’05, edited by T. Trzaskalik, 137–150. Katowice, Poland: The Karol Adamiecki University of Economics in Katowice.
  • Miettinen, Kaisa. 2007. “Using Interactive Multiobjective Optimization in Continuous Casting of Steel.” Materials and Manufacturing Processes 22 (5): 585–593. doi: 10.1080/10426910701322468
  • Miettinen, K., and M. Mäkelä. 1995. “Interactive Bundle-Based Method for Nondifferentiable Multiobjective Optimization: NIMBUS.” Optimization 34 (2): 231–246. doi: 10.1080/02331939508844109
  • Miettinen, K., and M. Mäkelä. 2000. “Interactive Multiobjective Optimization System WWW-NIMBUS on the Internet.” Computers & Operations Research 27 (1): 709–723. doi: 10.1016/S0305-0548(99)00115-X
  • Miettinen, K., and M. Mäkelä. 2006. “Synchronous Approach in Interactive Multiobjective Optimization.” European Journal of Operational Research 170 (12): 909–922. doi: 10.1016/j.ejor.2004.07.052
  • Miettinen, K., F. Ruiz, and A. P. Wierzbicki. 2008. “Introduction to Multiobjective Optimization: Interactive Approaches.” In Multiobjective Optimization: Interactive and Evolutionary Approaches, edited by J. Branke, K. Deb, K. Miettinen, and R. Slowinski, 27–57. Berlin: Springer-Verlag.
  • Monz, M., K. H. Kufer, T. R. Bortfeld, and C. Thieke. 2008. “Pareto Navigation – Algorithmic Foundation of Interactive Multi-Criteria IMRT Planning.” Physics in Medicine and Biology 53: 985–998. doi: 10.1088/0031-9155/53/4/011
  • Nakayama, H., and Y. Sawaragi. 1984. “Satisficing Trade-Off for Multiobjective Programming.” In Interactive Decision Analysis, edited by M. Grauer and A. P. Wierzbicki, 113–122. Berlin: Springer-Verlag.
  • Nakayama, H., Y. Yun, and M. Yoon. 2009. Sequential Approximate Multiobjective Optimization Using Computational Intelligence. Berlin: Springer-Verlag.
  • Octave Home Page. 2014. Accessed February 7. http://www.gnu.org/software/octave/
  • Phillips, H. M., K. E. Sahlstedt, K. Frank, J. Bratby, W. Brennan, S. Rogowski, D. Pier, et al. 2009. “Wastewater Treatment Modelling in Practice: A Collaborative Discussion of the State of the Art.” Water Science and Technology 59: 695–704. doi: 10.2166/wst.2009.591
  • Price, W. L. 1983. “Global Optimization by Controlled Random Search.” Journal of Optimization Theory and Applications 40: 333–348. doi: 10.1007/BF00933504
  • Ruotsalainen, H., E. Boman, K. Miettinen, and J. Tervo. 2009. “Nonlinear Interactive Multiobjective Optimization Method for Radiotherapy Treatment Planning with Boltzmann Transport Equation.” Contemporary Engineering Sciences 2 (9): 391–422.
  • Ruotsalainen, H., K. Miettinen, J.-E. Palmgren, and T. Lahtinen. 2010. “Interactive Multiobjective Optimization for Anatomy Based Three-Dimensional HDR Brachytherapy.” Physics in Medicine and Biology 55: 4703–4719. doi: 10.1088/0031-9155/55/16/006
  • Ruzika, S., and M. M. Wiecek. 2005. “Approximation Methods in Multiobjective Programming.” Journal of Optimization Theory and Applications 126: 473–501. doi: 10.1007/s10957-005-5494-4
  • van Hentenryck, P. 1999. The OPL Optimization Programming Language. Cambridge, MA: MIT Press.
  • Wierzbicki, A. P. 1980. “The Use of Reference Objectives in Multiobjective Optimization.” In Multiple Criteria Decision Making Theory and Applications, edited by G. Fandel and T. Gal, 468–486. Berlin: Springer-Verlag.
  • Wierzbicki, A. P. 1986. “On the Completeness and Constructiveness of Parametric Characterizations to Vector Optimization Problems.” OR Spectrum 8: 73–87. doi: 10.1007/BF01719738
  • Wilson, B., D. Cappelleri, T. W. Simpson, and M. Frecker. 2001. “Efficient Pareto Frontier Exploration Using Surrogate Approximations.” Optimization and Engineering 2: 31–50. doi: 10.1023/A:1011818803494
  • Xu, L., T. Reinikainen, W. Ren, B. P. Wang, Z. Han, and D. Agonafer. 2004. “A Simulation-Based Multi-Objective Design Optimization of Electronic Packages Under Thermal Cycling and Bending.” Microelectronics Reliability 44: 1977–1983. doi: 10.1016/j.microrel.2004.04.024
  • Yapicioglu, H., H. Liu, A. E. Smith, and G. Dozier. 2011. “Hybrid Approach for Pareto Front Expansion in Heuristics.” Journal of the Operational Research Society 62: 348–359. doi: 10.1057/jors.2010.151

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.