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In the end, a suitable example illustrates that the new optimality results are more useful for some class of optimization problems than the optimality conditions with invex functions.
Moreover, we present a suitable example which illustrates that the optimality results in this paper are more useful for some class of optimization problems than the optimality conditions with existing invexity; see Example 6.
In this framework, the architecture of the hybrid soft computing models is created and evolved by using the modified probabilistic incremental program evolution (MPIPE) algorithm, and the parameters used in hybrid soft computing models can be optimized using a class of optimization techniques.
We have formulated a class of optimization problems and obtained the optimal solutions by alternating direction optimization and Dinkelbach's optimization.
The foregoing theorem shows that the concept of weak sharp minima can be converted into a class of optimization problems with the same optimal value.
We consider a class of optimization problems in which the aim is to find an optimizing probability distribution or measure.
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In addition to the theoretical significance, the variational formulations developed here can provide the basis for a class of optimization-based methods for computational mechanics.
For multiple quality indices, the above two classes of optimization focus on searching the single optimal combination of process parameters.
It also yields crucial classes of optimization and usually provides a proper estimation to the optimal solution.
This indicates that product variety optimization includes three classes of optimization problems: attribute assignment, module combination, and simultaneous design of both.
This paper briefly presents main classes of optimization models applied in PSE system operation, explores their applicability in infrastructure system operation and stresses the importance of multi-level optimization and multi-agent model predictive control.
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