Category:Boolean variables

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Discrete switching events can also be expressed by means of Boolean variables and logical implications. E.g., by introducing logical functions

\delta_i: [0, t_f] \mapsto \{ \mathrm{true}, \mathrm{false} \}

that indicate whether a model formulation F_i[x,u,v] is active at time t, both state-dependent switches and outer convexification formulations may be written as disjunctive programs, i.e., optimization problems involving Boolean variables and logical conditions. Using disjunctive programs can be seen as a more natural way of modeling discrete events and has the main advantage of resulting in tighter relaxations of the discrete dicisions, when compared to integer programming techniques. More details can be found, e.g., in <bibref>Grossmann2002</bibref><bibref>Oldenburg2005</bibref><bibref>Oldenburg2008</bibref>.

References

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