Relaxation method for optimization of intelligent manufacturing controller unit based on equilibrium constraint programming problem
A constraint programming problem and intelligent manufacturing technology, which is applied in the direction of instruments, special data processing applications, electrical digital data processing, etc., to achieve the effect of saving time and effective algorithms
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[0042] In the field of intelligent manufacturing technology, the Stackelberg game model with equilibrium constraints has a wide range of applications, and can abstract certain problems into a very common MPVCC optimization model. However, due to the special structure of the equilibrium constraint, it is very difficult in the algorithm and cannot be directly calculated. For example, consider a Stackelberg game problem with equilibrium constraints abstracted from the practical problem
[0043]
[0044] where y∈SOL(z) is an equilibrium constraint. This model is difficult to solve directly, so it is equivalently transformed into a t-MPVCC problem according to the method of the present invention, and becomes a general nonlinear programming after applying a classic relaxation model, which can be effectively solved by software.
[0045] For example Min-max-min problem
[0046]
[0047]
[0048] where z∈R n is the independent variable, the objective function f ij (z) and ...
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