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101.
《Optimization》2012,61(3):195-211
We consider generalized semi-infinite programming problems. Second order necessary and sufficient conditionsfor local optimality are given. The conditions are derived under assumptions such that the feasible set can be described by means of a finite number of optimal value functions. Since we do not require a strict complementary condition for the local reduction these functions are only of class C1 A sufficient condition for optimality is proven under much weaker assumptions. 相似文献
102.
Konstantin Avrachenkov 《Operations Research Letters》2012,40(1):56-60
We deal with zero-sum two-player stochastic games with perfect information. We propose two algorithms to find the uniform optimal strategies and one method to compute the optimality range of discount factors. We prove the convergence in finite time for one algorithm. The uniform optimal strategies are also optimal for the long run average criterion and, in transient games, for the undiscounted criterion as well. 相似文献
103.
《Optimization》2012,61(3):271-291
In [9] a generalization of the concept of a classical gradient was presented, which exists for a broad class of non-differentiable functions. This concept differs from traditional “set-valued”" generalizations by an expansion of a directional derivative into a special orthogonal series. Investigating the coefficients of this series and interpreting them as a kind of partial derivatives formal analogies to properties of classical partial derivatives could be drawn. Moreover the new concept reveals relations between questions appearing within the theory of optimization and results in other branches of mathematics, especially to the theory of harmonic and subharmonic functions, The aim of this paper is to show that with the new tool of generalized partial derivatives necessary and sufficient conditions for optimality can be deduced in the case, that a function under consideration is not differentiable at the point of interest. In such a way criteria of optimality can be formulated using the language of these generalized partial derivatives. Numerical considerations show, that the generalized partial derivatives can (approximately) be calculated without solving integrals by hyperinterpolation on the sphere 相似文献
104.
105.
L. Pellegrini 《Journal of Optimization Theory and Applications》1991,68(1):19-33
By exploiting the concept of image of a constrained extremum problem, a sufficient optimality condition of Lagrangian type is established. The result is achieved by applying the idea of coercivity in the image space; this produces new results with respect to the use of coercivity in the given space. The condition embeds a known one. 相似文献
106.
We show that a Lagrangian multiplier function in input optimization is generally discontinuous on regions of stability and then we find conditions for its continuity.Research partly supported by the Natural Sciences and Engineering Research Council of Canada.Presented at TIMS/ORSA Meeting in Boston, Massachusetts, April 29-May 1, 1985.The contribution of this author is part of his M.Sc. thesis in Applied Mathematics at McGill University. 相似文献
107.
This note discusses the regulator problem with zero terminal state for a single-input, linear, time-invariant, discrete-time system. The fundamental structure of the regulator for a general additive performance index is obtained. The new optimality condition is expressed by the optimality condition of the induced free-endpoint regulator in the first phase and the deadbeat control in the second phase. Furthermore, a closed-loop expression for the quadratic performance index is obtained. 相似文献
108.
109.
110.
Exact penalization and stationarity conditions of mathematical programs with equilibrium constraints 总被引:6,自引:0,他引:6
Using the theory of exact penalization for mathematical programs with subanalytic constraints, the theory of error bounds
for quadratic inequality systems, and the theory of parametric normal equations, we derive various exact penalty functions
for mathematical programs subject to equilibrium constraints, and we also characterize stationary points of these programs.
The research of this author is based on work supported by the National Sciences and Engineering Research Council of Canada
under grant OPG0090391.
The research of this author is based on work supported by the National Science Foundation under grants DDM-9104078 and CCR-9213739.
Part of this paper was completed while he was visiting The University of Melbourne and The University of New South Wales.
The research of this author is based on work supported by the Australian Research Council. 相似文献