共查询到20条相似文献,搜索用时 515 毫秒
1.
Wang Qinggang Zhao Jinling Yang Qingzhi 《Computational Optimization and Applications》2010,46(1):31-49
In this paper we present some non-interior path-following methods for linear complementarity problems. Instead of using the
standard central path we use a scaled central path. Based on this new central path, we first give a feasible non-interior
path-following method for linear complementarity problems. And then we extend it to an infeasible method. After proving the
boundedness of the neighborhood, we prove the convergence of our method. Another point we should present is that we prove
the local quadratic convergence of feasible method without the assumption of strict complementarity at the solution. 相似文献
2.
This paper deals with a method, called locally linear embedding (LLE). It is a nonlinear dimensionality reduction technique
that computes low-dimensional, neighborhood-preserving embeddings of high-dimensional data and attempts to discover a nonlinear
structure (including manifolds) in high-dimensional data. In practice, the nonlinear manifold learning methods are applied
in image processing, text mining, etc. The implementation of the LLE algorithm is fairly straightforward, because the algorithm
has only two control parameters: the number of neighbors of each data point and the regularization parameter. The mapping
quality is quite sensitive to these parameters. In this paper, we propose a new way of selecting a regularization parameter
of a local Gram matrix. 相似文献
3.
A shape and topology optimization driven solution technique for a class of linear complementarity problems (LCPs) in function
space is considered. The main motivating application is given by obstacle problems. Based on the LCP together with its corresponding
interface conditions on the boundary between the coincidence or active set and the inactive set, the original problem is reformulated
as a shape optimization problem. The topological sensitivity of the new objective functional is used to estimate the “topology”
of the active set. Then, for local correction purposes near the interface, a level set based shape sensitivity technique is
employed. A numerical algorithm is devised, and a report on numerical test runs ends the paper. 相似文献
4.
Semismooth Newton method is an effective method for solving a nonsmooth equation, which arises from a reformulation of the
complementarity problem. Under appropriate conditions, we verify the monotone convergence of the method. We also present semismooth
Newton Schwarz iterative methods for the nonsmooth equation. Under suitable conditions, the methods exhibit monotone and superlinear
convergence properties. 相似文献
5.
In this paper, we propose an outer approximation method using two quadratic functions approximating the constraint functions
of a DC programming problem. By analyzing the relation among the eigenvectors of the Hessian matrices of the constraint functions,
the search direction for a feasible solution of the problem is determined. Moreover, to avoid line searches along similar
directions, we incorporate a penalty function method in the algorithm. 相似文献
6.
In this paper we study the W-weighted Drazin inverse of the bounded linear operators between Banach spaces and its representation theorem. Based on this representation, utilizing the spectral theory of Banach space operators, we derive an approximating expression of the W-weighted Drazin inverse and an error bound. Also, a perturbation theorem for the W-weighted Drazin inverse is uniformly obtained from the representation theorem. 相似文献
7.
In this paper we study the possible orders of a non-abelian representation group of a slim dense near hexagon. We prove that
if the representation group R of a slim dense near hexagon S is non-abelian, then R is a 2-group of exponent 4 and |R|=2
β
, 1+NPdim(S)≤β≤1+dimV(S), where NPdim(S) is the near polygon embedding dimension of S and dimV(S) is the dimension of the universal representation module V(S) of S. Further, if β=1+NPdim(S), then R is necessarily an extraspecial 2-group. In that case, we determine the type of the extraspecial 2-group in each case. We
also deduce that the universal representation group of S is a central product of an extraspecial 2-group and an abelian 2-group of exponent at most 4.
This work was partially done when B.K. Sahoo was a Research Fellow at the Indian Statistical Institute, Bangalore Center with
NBHM fellowship, DAE Grant 39/3/2000-R&D-II, Govt. of India. 相似文献
8.
Imposing additional weight restrictions increases the degeneracy and computational complexity of solving Data Envelopment
Analysis (DEA) models, a known class of linear programming models. In this paper some linear transformations to reduce these
problems are provided. 相似文献
9.
Yury Nikulin 《Annals of Operations Research》2009,172(1):25-35
A coalition game with a finite number of players in which initial coefficients of linear payoff functions are subject to perturbations
is considered. For any efficient solution which may appear in the game, appropriate measures of the quality are introduced.
These measures correspond to the so-called stability and accuracy functions defined earlier for efficient solutions of a generic
multiobjective combinatorial optimization problem with Pareto and lexicographic optimality principles. Various properties
of such functions are studied. Maximum norms of perturbations for which an efficient in sense of equilibrium solution preserves
the property of being efficient are calculated. 相似文献
10.
In this paper, we survey some results, conjectures and open problems dealing with the combinatorial and algorithmic aspects
of the linear ordering problem. This problem consists in finding a linear order which is at minimum distance from a (weighted
or not) tournament. We show how it can be used to model an aggregation problem consisting of going from individual preferences
defined on a set of candidates to a collective ranking of these candidates. 相似文献
11.
Frédéric Meunier 《Annals of Operations Research》2010,181(1):709-722
Suppose given a network endowed with a multiflow. We want to estimate some quantities connected with this multiflow, for instance the value of an s–t flow for one of the sources–sinks pairs s–t, but only measures on some arcs are available, at least on one s–t cocycle (set of arcs having exactly one endpoint in a subset X of vertices with s∈X and t?X). These measures, supposed to be unbiased, are random variables whose variances are known. How can we combine them optimally in order to get the best estimator of the value of the s–t flow?This question arises in practical situations when the OD matrix of a transportation network must be estimated. We will give a complete answer for the case when we deal with linear combinations, not only for the value of an s–t flow but also for any quantity depending linearly from the multiflow. Interestingly, we will see that the Laplacian matrix of the network plays a central role. 相似文献
12.
We study the effect of a magnetic field on the behaviour of a slender conducting elastic structure, motivated by stability
problems of electrodynamic space tethers. Both static (buckling) and dynamic (whirling) instability are considered and we
also compute post-buckling configurations. The equations used are the geometrically exact Kirchhoff equations. Magnetic buckling
of a welded rod is found to be described by a surprisingly degenerate bifurcation, which is unfolded when both transverse
anisotropy of the rod and angular velocity are considered. By solving the linearised equations about the (quasi-) stationary
solutions, we find various secondary instabilities. Our results are relevant for current designs of electrodynamic space tethers
and potentially for future applications in nano- and molecular wires. 相似文献
13.
M. T. Darvishi F. Khani A. M. Godarzi H. Tian 《Journal of Applied Mathematics and Computing》2011,36(1-2):41-59
We propose a class of symmetric modified accelerated overrelaxation (SMAOR) methods for solving large sparse linear systems. The convergence region of the method has been investigated. Numerical examples indicate that the SMAOR method is better than other methods such as accelerated overrelaxation(AOR) and modified accelerated overrelaxation(MAOR) methods, since the spectral radius of iteration matrix in SMAOR method is less than that of the other methods. Also, we apply the method to solve a real boundary value problem. 相似文献
14.
15.
Reiner Wolff 《TOP》2009,17(2):433-439
Rabbi Moshe ben Maimon (1135–1204), known as Moses Maimonides, ranks among the most distinguished philosophers of the Middle
Ages. He is the renowned author of the Mishneh Torah, a comprehensive code of Jewish law. Book 12 (“Book of Acquisition”),
Treatise 4 (“Agents and Partners”), of the Code of Maimonides is devoted in Chapter 4 to the allocation of the surplus from
funds which a partnership invests in an indivisible input. The Rabbi’s case translates into a cooperative game where all intermediate
coalitions are inessential. Standard axioms for cooperative-game solutions then suggest that the surplus be shared equally
by the players, which is precisely the Maimonidean ruling. We show that this outcome can be preserved in spirit under much
weaker assumptions on the worth of a game’s intermediate coalitions. We present results both for the nucleolus and the Shapley
value of the underlying class of games. 相似文献
16.
Given a matrix of weights, the Linear Ordering Problem (LOP) consists of finding a permutation of the columns and rows in
order to maximize the sum of the weights in the upper triangle. This well known NP-complete problem can also be formulated
on a complete weighted graph, where the objective is to find an acyclic tournament that maximizes the sum of arc weights.
The variant of the LOP that we target here was recently introduced and adds a cumulative non-linear propagation of the costs
to the sum of the arc weights. We first review the previous methods for the LOP and for this variant with cumulative costs
(LOPCC) and then propose a heuristic algorithm for the LOPCC, which is based on the Tabu Search (TS) methodology. Our method
achieves search intensification and diversification through the implementation of both short and long term memory structures.
Our extensive experimentation with 224 instances shows that the proposed procedure outperforms existing methods in terms of
solution quality and has reasonable computing-time requirements. 相似文献
17.
A. J. Zaslavski 《Journal of Optimization Theory and Applications》2010,145(3):597-612
We study the structure of solutions of a discrete-time control system with a compact metric space of states X which arises in economic dynamics. This control system is described by a nonempty closed set Ω⊂X×X which determines a class of admissible trajectories (programs) and by a bounded upper semicontinuous objective function v:Ω→R
1 which determines an optimality criterion. We are interested in turnpike properties of the approximate solutions which are
independent of the length of the interval, for all sufficiently large intervals. In the present paper, we show that these
turnpike properties are stable under perturbations of the objective function v. 相似文献
18.
In this paper, we explore the problem of isochronicity at infinity for a class of polynomial differential system. The technique is based on taking infinity into the origin by means of a homeomorphism. Simultaneously, we derive a recursive algorithm to compute period constants at the origin of the transformed system. At the end, as an application of our algorithm, we study pseudo-isochronous center conditions at infinity for a class of septic system. 相似文献
19.
Let μ
Σ be the natural measure on R
N
(N≥3) supported by a compact oriented analytic hypersurface Σ, ψ a smooth function on R
N
and P(D) a differential operator in N variables of order m. We determine a sufficient condition on the number λ such that the Fourier integral of the distribution P(D)ψ
μ
Σ be summable by Cesàro means of order λ to zero in a point outside the hypersurface. This condition depends on m and on the position of the point with respect to the caustic of the hypersurface. 相似文献
20.
Jeroen M. van Oostrum Eelco Bredenhoff Erwin W. Hans 《Annals of Operations Research》2010,178(1):91-104
Operating room (OR) planning and scheduling is a popular and challenging subject within the operational research applied to
health services research (ORAHS). However, the impact in practice is very limited. The organization and culture of a hospital
and the inherent characteristics of its processes impose specific implementation issues that affect the success of planning
approaches. Current tactical OR planning approaches often fail to account for these issues. Master surgical scheduling (MSS)
is a promising approach for hospitals to optimize resource utilization and patient flows. We discuss the pros and cons of
MSS and compare MSS with centralized and decentralized planning approaches. Finally, we address various implementation issues
of MSS and discuss its suitability for hospitals with different organizational foci and culture. 相似文献