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Discrete Control and Optimal Dynamic Flow Problems on Networks

In: Optimization and Multiobjective Control of Time-Discrete Systems

Author

Listed:
  • Dmitrii Lozovanu

    (Academy of Sciences of Moldova)

  • Stefan Pickl

    (Universität der Bundeswehr)

Abstract

In this chapter we consider another important generalization of discrete control problems which leads to optimal dynamic flow problems on networks. We show that the time-expanded network method can be extended for such kind of problems and efficient algorithms for determining optimal flows in dynamic networks can be derived. For the considered class of problems the gametheoretical concept can be applied in an analogous way as for the problems from the previous chapters and new classes of games on dynamic networks will be obtained.

Suggested Citation

  • Dmitrii Lozovanu & Stefan Pickl, 2009. "Discrete Control and Optimal Dynamic Flow Problems on Networks," Springer Books, in: Optimization and Multiobjective Control of Time-Discrete Systems, chapter 4, pages 1-52, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-85025-0_4
    DOI: 10.1007/978-3-540-85025-0_4
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