International Journal of Material Forming

, Volume 12, Issue 2, pp 185–196 | Cite as

Multi-criteria optimization strategies for tree-structured production chains

  • Piotr Jarosz
  • Jan KusiakEmail author
  • Stanisław Małecki
  • Paweł Morkisz
  • Piotr Oprocha
  • Wojciech Pietrucha
  • Łukasz Sztangret
Thematic Issue: Advances in Material Forming Simulation.


The aim of this paper is presentation of some optimization strategies applicable in the optimization of multi-stage and multi-thread chain structures (linear and tree-structured acyclic graphs) with multiple intermediate goal functions. The inspirations for this type of analysis are production chains often seen in industrial plants. Production in these plants consists of sequences of multiple units connected linearly or in tree-structured graphs in which, at various production stages, intermediate quality criteria, related to the semi-products, may have to be considered. Optimization strategies as well as the results of their application for different hypothetical problems and the real metallurgical problem of lead production are presented.


Production chain Optimization PSO Global approach Sequential approach 


Compliance with Ethical Standards


This study was funded by National Science Centre in Poland (NCN), Grant no. DEC-2013/11/B/ST8/00352.

Conflict of interest

The authors declare that they have no conflict of interest.


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Copyright information

© Springer-Verlag France SAS 2017

Authors and Affiliations

  • Piotr Jarosz
    • 1
  • Jan Kusiak
    • 2
    Email author
  • Stanisław Małecki
    • 1
  • Paweł Morkisz
    • 3
  • Piotr Oprocha
    • 3
  • Wojciech Pietrucha
    • 4
  • Łukasz Sztangret
    • 2
  1. 1.Faculty of Non-Ferrous MetalsAGH University of Science and TechnologyKrakówPoland
  2. 2.Faculty of Metals Engineering and Industrial Computer ScienceAGH University of Science and TechnologyKrakówPoland
  3. 3.Faculty of Applied MathematicsAGH University of Science and TechnologyKrakówPoland
  4. 4.Luxoft Poland Sp. z o.o.ZabierzówPoland

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