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排序方式: 共有266条查询结果,搜索用时 15 毫秒
31.
We investigate the quality of solutions obtained from sample-average approximations to two-stage stochastic linear programs
with recourse. We use a recently developed software tool executing on a computational grid to solve many large instances of
these problems, allowing us to obtain high-quality solutions and to verify optimality and near-optimality of the computed
solutions in various ways.
Research supported by the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced
Scientific Computing Research, U.S. Department of Energy, under Contract W-31-109-Eng-38, and by the National Science Foundation
under Grant 9726385.
Research supported by the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced
Scientific Computing Research, U.S. Department of Energy, under Contract W-31-109-Eng-38, and by the National Science Foundation
under Grant DMS-0073770.
Research supported by the Mathematical, Information, and Computational Sciences Division subprogram of the Office of Advanced
Scientific Computing Research, U.S. Department of Energy, under Contract W-31-109-Eng-38, and by the National Science Foundation
under Grants 9726385 and 0082065. 相似文献
32.
A scheduling problem is generally to order the jobs such that a certain objective function f(π) is minimized. For some classical scheduling problems, only sufficient conditions of optimal solutions are concerned in the literature. In this paper, we study the necessary and sufficient conditions by means of the concept of critical ordering (critical jobs and their relations). These results are meaningful in recognition and characterization of optimal solutions of scheduling problems. 相似文献
33.
L. Ferreira-Mendonça V. L. R. Lopes J. M. Martínez 《Computational Optimization and Applications》2008,40(3):373-388
Optimality (or KKT) systems arise as primal-dual stationarity conditions for constrained optimization problems. Under suitable
constraint qualifications, local minimizers satisfy KKT equations but, unfortunately, many other stationary points (including,
perhaps, maximizers) may solve these nonlinear systems too. For this reason, nonlinear-programming solvers make strong use
of the minimization structure and the naive use of nonlinear-system solvers in optimization may lead to spurious solutions.
Nevertheless, in the basin of attraction of a minimizer, nonlinear-system solvers may be quite efficient. In this paper quasi-Newton
methods for solving nonlinear systems are used as accelerators of nonlinear-programming (augmented Lagrangian) algorithms,
with equality constraints. A periodically-restarted memoryless symmetric rank-one (SR1) correction method is introduced for
that purpose. Convergence results are given and numerical experiments that confirm that the acceleration is effective are
presented.
This work was supported by FAPESP, CNPq, PRONEX-Optimization (CNPq / FAPERJ), FAEPEX, UNICAMP. 相似文献
34.
J. E. Spingarn 《Mathematical Programming》1982,22(1):82-92
Optimality conditions for families of nonlinear programming problems inR
n
are studied from a generic point of view. The objective function and some of the constraints are assumed to depend on a parameter, while others are held fixed. Techniques of differential topology are used to show that under suitable conditions, certain strong second-order conditions are necessary for optimality except possibly for parameter values lying in a negligible set.Research sponsored, in part, by the Air Force Office of Scientific Research, under grants number 77-3204 and 79-0120. 相似文献
35.
Optimality conditions for maximizations of set-valued functions 总被引:18,自引:0,他引:18
H. W. Corley 《Journal of Optimization Theory and Applications》1988,58(1):1-10
The maximization with respect to a cone of a set-valued function into possibly infinite dimensions is defined, and necessary and sufficient optimality conditions are established. In particular, an analogue of the Fritz John necessary optimality conditions is proved using a notion of derivative defined in terms of tangent cones. 相似文献
36.
C. C. Agunwamba 《Mathematical Programming》1977,13(1):38-48
Necessity and sufficiency conditions are given for the existence of a finite set of redundant constraints which together with a given set of constraints in an optimization problem satisfy the Kuhn—Tucker, and the Guignard Constraint qualifications when the original set of constraints fails to satisfy either or both of them.This work was carried out at the Department of Statistics, University College of Wales, Aberystwyth while the author was sponsored by the Commonwealth Scholarship Commission in the United Kingdom, through the Department of Statistics, University of Nigeria, Nsukka. 相似文献
37.
Behrouz Emamizadeh Mariam Al Hanai 《Numerical Functional Analysis & Optimization》2013,34(5-6):478-485
In this note we consider an investment problem in real estate. We show that it can be formulated in terms of a constrained optimization problem, and this leads to a linear rearrangement optimization problem. We address existence, uniqueness, and symmetry of the optimal solution. 相似文献
38.
Nguyen Le Hoang Anh 《Numerical Functional Analysis & Optimization》2016,37(7):823-838
In this article, we introduce a notion of higher-order radial epiderivative for set-valued maps and study its properties. A generalized concept of higher-order strict minimizers in set-valued optimization is proposed as well. By virtue of the radial epiderivative, we establish a mixed dual problem, and then weak, strong, and converse duality theorems are obtained in dealing with generalized strict minimizers. 相似文献
39.
The paper deals with necessary optimality conditions in a special infinite-dimensional mathematical program with equilibrium constraints having a mechanical interpretation. The main hurdle consists in the computation of the limiting normal cone to the graph of the normal-cone mapping ND(⋅), where D is the cone of nonnegative functions in the Sobolev space considered. We discuss also the influence of state and mixed control–state constraints. 相似文献
40.
In this paper we are concerned with some optimal control problems governed by semilinear elliptic equations. The case of
a boundary control is studied. We consider pointwise constraints on the control and a finite number of equality and inequality
constraints on the state. The goal is to derive first- and second-order optimality conditions satisfied by locally optimal
solutions of the problem.
Accepted 6 May 1997 相似文献