Note that firms use the marginal utility of optimizing households, (lambda ^o_t), to discount future periods as we assume that firms are owned by optimizers.
In both formulations, we computed the overall solution time to solve a generic instance of the problem as the sum of the preprocessing time due to the implementation of [ 22]'s reduction rules plus the solution time taken by the Optimizer to find the optimal solution to the instance.
Indeed, a sudden change in terms of resource may impact heavily the satisfaction of the user, who would react by increasing resources manually, luminosity, etc., after the automatic adjustment done by the optimizer actuator.
For both methods, optimization time for one design is on a standard desktop computer (4 GB RAM, 3 GHz quad core processor) and mainly determined by the optimizer itself, whereas the validation time (10 MC samples) of a single optimal design is.
All these phases are combined and used by the optimizer actuator which manages Wi-Fi connection and CPU frequency in order to optimize the energy consumption.
The design problem is then formulated as an optimization problem of an aggregated error function in terms of deviation on extremal GM/PM between the redesigned digital system having an interval plant and its continuous counterpart, and subsequently optimized by the proposed optimizer to obtain an optimal set of parameters for the digital controller.
This module performs the decisions made by the optimizer.
User satisfaction is taken into account by the optimizer actuator, Section 4.2.3.
The production wells were controlled under a total liquid rate constraint specified by the optimizer.
First, a minimum radius (r_{min}) is specified for vertical section (heel point) that is estimated by the optimizer.
The entry distribution of Kipi and Sidirokastro can be chosen freely by the optimizer in this case.
