Lotka Volterra fishing problem

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.