By the alternative theorem, the optimality conditions of vector extremum problems with generalized inequality constraint are established in linear space.
The standard economic definition of efficiency is pareto optimality: when no one can be made better off without making someone else worse off.
optimality of graph-search control strategy
With these concepts, integral optimality conditions for global optimization are obtained.
This method can avoid the subjectivity when the weight vector is determined and get the optimality of the prior order evaluation by non-uniform weight.
Also, its optimality and convergence is proved.
Using the alternative theorem, the optimality conditions of vector extremum problems with generalized constraint are established in ordered linear space.
Based on the theory of differential games, this paper establishes the pursuit and evasion resistance model in 3d space and gets its optimality conditions and the optimal strategy of resistance.
Combining with the optimality criterion method and the bi-factor algorithm, the inverse eigenvalue problem for optimal Parameters design of elastic mechanisms is solved effectively.
As to the problem of packing balls, a smooth model is given and the corresponding optimality conditions are established by the optimality theory of variational analysis.
Its convergence and asymptotic optimality are proved strictly.
Based on a potential approach, the optimality equations satisfied by the optimal stationary policies are derived.
One fast bottleneck elimination algorithm, including its idea, iteration procedure and proof of optimality is given on one education optimal investment model in this paper.
The generalized invex functions are introduced and the optimality theorems and duality theory are established for a class of variational problems.
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