Production systems with limited repair capacity

S. Göttlich, M. Herty, Christian Ringhofer, U. Ziegler

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Optimizing manufacturing systems consists of generating large-quantity outputs to fulfil customer demands. But naturally machines may fail and the production process is either slowed down or completely interrupted. In order to keep production running, we are interested in assigning repair crews to currently broken-down machines. But due to the limited repair capacity and the dynamics involved in the production process, we propose a scheduling problem based on ordinary differential equations for the description of buffer levels and the actually available processing capacity. We discuss properties of the model and present a solution approach leading to a mixed-integer programming model.

Original languageEnglish (US)
Pages (from-to)915-948
Number of pages34
Issue number8
StatePublished - Aug 2012


  • combinatorial optimization
  • network flows
  • production networks
  • scheduling

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics


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