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The bad news is that government regulations aren't the optimal solution to the problem.
In the algorithm, an iterative design procedure is first derived for obtaining a local optimal solution to the problem.
By doing this, local solutions can be avoided and the probability of finding the global optimal solution to the problem is increased.
Although an FGM coating certainly eliminates the abrupt change in material properties and stress discontinuity at the coating/substrate interface, it may be not an optimal solution to the problem.
In this paper, we formally justify this placement rule as an asymptotically optimal solution to the problem of maximizing the expected utility of an experiment that terminates when the total cost overruns a given budget.
In strategic decision making, supporting the decision process is more important than supporting the search for an "optimal" solution to the problem, especially since for most policy problems a well-defined objective function does not exist.
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Finally, notice that once we have the optimal solution for {γ k }, we can compute the optimal solution for {φ i } following (36), and hence we can directly obtain the optimal solution to the problems (PDP) and (P1).
Leben draws on the moral theory of John Rawls, arguing that normative moral theories are attempts to develop optimal solutions to the problem of cooperation.
All these results are then used to develop a branch-and-cut algorithm to obtain optimal solutions to the problem.
An algorithm that can be divided in two parts is proposed for finding global optimal solutions to the problem.
Optimal solutions to the problem can be obtained from finding non-dominated paths, which are defined based on first-order stochastic dominance.
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Justyna Jupowicz-Kozak
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