Difference between revisions of "Lotka Volterra fishing problem"

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This problem was set up as a simple benchmark problem. Despite of its simple structure, the optimal solution contains a singular arcs, making the Lotka Volterra fishing problem an ideal candidate for benchmarking of algorithms.
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== Model dimensions and properties ==
 
== Model dimensions and properties ==
  

Revision as of 11:42, 29 June 2008

This problem was set up as a simple benchmark problem. Despite of its simple structure, the optimal solution contains a singular arcs, making the Lotka Volterra fishing problem an ideal candidate for benchmarking of algorithms.

Model dimensions and properties

The model has the following dimensions:


\begin{array}{rcl}
n_x &=& 3\\
n_z &=& 0\\
n_u &=& 1\\
n_p &=& 0\\
n_c &=& 0\\
n_{r^\mathrm{i}} &=& 0\\
n_{r^\mathrm{e}} &=& 3
\end{array}

It is thus an ODE model. The interior point equality conditions fix the initial values of the differential states.

Model Equations

Initial values and parameters

Reference Solutions

Source Code

Miscellaneous

External references