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An IP approach to toll enforcement optimization on German motorways

In: Operations Research Proceedings 2011

Author

Listed:
  • Ralf Borndörfer

    (Zuse Institute Berlin, Optimization)

  • Guillaume Sagnol

    (Zuse Institute Berlin, Optimization)

  • Elmar Swarat

    (Zuse Institute Berlin, Optimization)

Abstract

This paper proposes the first model for toll enforcement optimization on German motorways. The enforcement is done by mobile control teams and our goal is to produce a schedule achieving network-wide control, proportional to spatial and time-dependent traffic distributions. Our model consists of two parts. The first plans control tours using a vehicle routing approach with profits and some side constraints. The second plans feasible rosters for the control teams. Both problems can be modeled as Multi-Commodity Flow Problems. Adding additional coupling constraints produces a large-scale integrated integer programming formulation. We show that this model can be solved to optimality for real world instances associated with a control area in East Germany.

Suggested Citation

  • Ralf Borndörfer & Guillaume Sagnol & Elmar Swarat, 2012. "An IP approach to toll enforcement optimization on German motorways," Operations Research Proceedings, in: Diethard Klatte & Hans-Jakob Lüthi & Karl Schmedders (ed.), Operations Research Proceedings 2011, edition 127, pages 317-322, Springer.
    • Handle: RePEc:spr:oprchp:978-3-642-29210-1_51
    DOI: 10.1007/978-3-642-29210-1_51
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