D'Onofrio model (binary variant)
|D'Onofrio model (binary variant)|
|Discrete control functions:||4|
This site describes a D'Onofrio model variant with four binary controls instead which of only two continuous controls. The continuous controls are replaced via the outer convexifacation method.
For the optimal control problem is given by
The parameters and scenarios are as in D'Onofrio_chemotherapy_model, the new fixed parameters are
If the problem is relaxed, i.e., we demand that be in the continuous interval instead of the binary choice , the optimal solution can be determined by using a direct method such as collocation or Bock's direct multiple shooting method.
The optimal objective value of scenario 2 of the relaxed problem with is . The objective value of the binary controls obtained by Combinatorial Integral Approimation (CIA) is . The binary control solution was evaluated in the MIOCP by using a Merit function with additional Mayer term .
Model description is available in