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Numerical Methods for Optimal Control with Binary Control Functions Applied to a Lotka-Volterra Type Fishing Problem

In: Recent Advances in Optimization

Author

Listed:
  • Sebastian Sager

    (IWR Heidelberg)

  • Hans Georg Bock

    (IWR Heidelberg)

  • Moritz Diehl

    (IWR Heidelberg)

  • Gerhard Reinelt

    (IWR Heidelberg)

  • Johannes P. Schloder

    (IWR Heidelberg)

Abstract

Summary We investigate possibilities to deal with optimal control problems that have special integer restrictions on the time dependent control functions, namely to take only the values of 0 or 1 on given time intervals. A heuristic penalty term homotopy and a Branch and Bound approach are presented, both in the context of the direct multiple shooting method for optimal control. A tutorial example from population dynamics is introduced as a benchmark problem for optimal control with 0 –1 controls and used to compare the numerical results of the different approaches.

Suggested Citation

  • Sebastian Sager & Hans Georg Bock & Moritz Diehl & Gerhard Reinelt & Johannes P. Schloder, 2006. "Numerical Methods for Optimal Control with Binary Control Functions Applied to a Lotka-Volterra Type Fishing Problem," Lecture Notes in Economics and Mathematical Systems, in: Alberto Seeger (ed.), Recent Advances in Optimization, pages 269-289, Springer.
    • Handle: RePEc:spr:lnechp:978-3-540-28258-7_17
    DOI: 10.1007/3-540-28258-0_17
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    Cited by:

    1. Rodriguez-Gonzalez, Pablo T. & Rico-Martinez, Ramiro & Rico-Ramirez, Vicente, 2020. "Effect of feedback loops on the sustainability and resilience of human-ecosystems," Ecological Modelling, Elsevier, vol. 426(C).

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