Multi-Criteria Optimization of Pressure Screen Systems in Paper Recycling – Balancing Quality, Yield, Energy Consumption and System Complexity

  • Tim M.  MüllerEmail author
  • Lena C. Altherr
  • Marja Ahola
  • Samuel Schabel
  • Peter F. Pelz
Conference paper


The paper industry is the industry with the third highest energy consumption in the European Union. Using recycled paper instead of fresh fibers for papermaking is less energy consuming and saves resources. However, adhesive contaminants in recycled paper are particularly problematic since they reduce the quality of the resulting paper-product. To remove as many contaminants and at the same time obtain as many valuable fibres as possible, fine screening systems, consisting of multiple interconnected pressure screens, are used. Choosing the best configuration is a non-trivial task: The screens can be interconnected in several ways, and suitable screen designs as well as operational parameters have to be selected. Additionally, one has to face conflicting objectives. In this paper, we present an approach for the multi-criteria optimization of pressure screen systems based on Mixed-Integer Nonlinear Programming. We specifically focus on a clear representation of the trade-off between different objectives.


Multi-criteria optimization Mixed-integer nonlinear problem SCIP Paper recycling Screening systems Process engineering Graphical user interface Decision-support 


  1. 1.
    Amand, F.: Optimization of stickies removal in screens and cleaners. In: Recent Advances in Paper Recycling - Stickies, pp. 78–125, Wisconsin (2002)Google Scholar
  2. 2.
    Ämmälä, A.: Effect of design and operational parameters on machine screen pulsation and energy consumption. Nord. Pulp. Paper Res. J. 30(2), 215–219 (2015)CrossRefGoogle Scholar
  3. 3.
    Currie, J., Wilson, D.I.: OPTI: Lowering the barrier between open source optimizers and the industrial MATLAB user. In: Foundations of Computer-Aided Process Operations, Georgia (2012)Google Scholar
  4. 4.
    Eurostat: Energy balance sheets: 2015 DATA, 2017 edn., Luxembourg (2017)Google Scholar
  5. 5.
    Fügenschuh, A., Hayn, C., Michaels, D.: Mixed-integer linear methods for layout-optimization of screening systems in recovered paper production. Optim. Eng. 15(2), 533–573 (2014)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Gleixner, A., et al.: The SCIP Optimization Suite 5.0, Berlin (2017)Google Scholar
  7. 7.
    Laurijssen, J., et al.: Paper and biomass for energy? Resour. Conserv. Recycl. 54(12), 1208–1218 (2010)Google Scholar
  8. 8.
    Löfberg, J.: YALMIP: A toolbox for modeling and optimization in MATLAB. In: Proceedings of the CACSD (2004)Google Scholar
  9. 9.
    MATLAB: The MathWorks Inc. Natick, Massachusetts, USA (2017a)Google Scholar
  10. 10.
    Miettinen, K.: Survey of methods to visualize alternatives in multiple criteria decision making problems. OR Spectrum 36(1), 3–37 (2014)MathSciNetCrossRefGoogle Scholar
  11. 11.
    Miettinen, K., Ruiz, F., Wierzbicki, A.P.: Introduction to multiobjective optimization: interactive approaches. In: Multiobjective Optimization, Berlin (2008)Google Scholar
  12. 12.
    Olson, J., Turcotte, S., Gooding, R.W.: Determination of power requirements for solid core pulp screen rotors. Nord. Pulp. Paper Res. J. 19(2), 213–217 (2004)CrossRefGoogle Scholar
  13. 13.
    Schabel, S.: Improvements in screening system configuration using simulation and mill verification. In: 6th Res Forum on Recyc., pp. 79–82, Québec, Canada (2001)Google Scholar
  14. 14.
    Steenberg, B.: Principles of screening system design: Studies in screening theory I. Sven Papperst 56(20), 771–778 (1953)Google Scholar
  15. 15.
    Valkama, J.P.: Optimisation of low consistency fine screening processes in recycled paper production. Doctoral dissertation. TU Darmstadt, Darmstadt (2007)Google Scholar
  16. 16.
    Verband Deutscher Papierfabriken e.V.: Papier 2017, Bonn (2017)Google Scholar
  17. 17.
    Wakelin, R.F.: Prediction of fractionation efficiency for pressure screens. Appita J. 50(4), 295–300 (1996)MathSciNetGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Tim M.  Müller
    • 1
    Email author
  • Lena C. Altherr
    • 1
  • Marja Ahola
    • 2
  • Samuel Schabel
    • 2
  • Peter F. Pelz
    • 1
  1. 1.Fluid SystemsTechnische Universität DarmstadtDarmstadtGermany
  2. 2.Paper Technology and Mechanical Process EngineeringTechnische Universität DarmstadtDarmstadtGermany

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