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151.
《Omega》2015
A virtual business problem is studied, in which a company-contractor outsources production to specialized subcontractors. Finances of the contractor and resource capacities of subcontractors are limited. The objective is to select subcontractors and distribute a part of the demanded production among them so that the profit of the contractor is maximized. A generalization of the knapsack problem, called Knapsack-of-Knapsacks (K-of-K), is used to model this situation, in which items have to be packed into small knapsacks and small knapsacks have to be packed into a large knapsack. A fully polynomial time approximation scheme is developed to solve the problem K-of-K. 相似文献
152.
The existence of a discontinuity in a regression function can be inferred by comparing regression estimates based on the data
lying on different sides of a point of interest. This idea has been used in earlier research by Hall and Titterington (1992),
Müller (1992) and later authors. The use of nonparametric regression allows this to be done without assuming linear or other
parametric forms for the continuous part of the underlying regression function. The focus of the present paper is on assessing
the evidence for the presence of a discontinuity within a regression function through examination of the standardised differences
of ‘left’ and ‘right’ estimators at a variety of covariate values. The calculations for the test are carried out through distributional
results on quadratic forms. A graphical method in the form of a reference band to highlight the sources of the evidence for
discontinuities is proposed. The methods are also developed for the two covariate case where there are additional issues associated
with the presence of a jump location curve. Methods for estimating this curve are also developed. All the techniques, for
the one and two covariate situations, are illustrated through applications. 相似文献
153.
154.
This paper considers the Cardinality Constrained Quadratic Knapsack Problem (QKP) and the Quadratic Selective Travelling Salesman
Problem (QSTSP). The QKP is a generalization of the Knapsack Problem and the QSTSP is a generalization of the Travelling Salesman
Problem. Thus, both problems are NP hard. The QSTSP and the QKP can be solved using branch-and-cut methods. Good bounds can
be obtained if strong constraints are used. Hence it is important to identify strong or even facet-defining constraints. This
paper studies the polyhedral combinatorics of the QSTSP and the QKP, i.e. amongst others we identify facet-defining constraints
for the QSTSP and the QKP, and provide mathematical proofs that they do indeed define facets.
Author now works at Motorola. (2005 onwards) 相似文献
155.
关于概率论与数理统计的两点注记 总被引:1,自引:0,他引:1
本文对正态随机变量的线性组合的分布,对正态总体的样本极差与标准差之问的关系,作了两点评注。 相似文献
156.
157.
We improve a Monte Carlo algorithm which computes accurate approximations of smooth functions on multidimensional Tchebychef polynomials by using quasi-random sequences. We first show that the convergence of the previous algorithm is twice faster using these sequences. Then, we slightly modify this algorithm to make it work from a single set of random or quasi-random points. This especially leads to a Quasi-Monte Carlo method with an increased rate of convergence for numerical integration. 相似文献
158.
基于第二类Chebyshev多项式函数系的特点与齐次扩容技巧,设计了求解非齐次线性自治系统的一种新的长效精细算法(HHPD CS).其不仅避免了HPD F算法中的矩阵求逆,还克服了HH-PD F算法中对右端激励的周期性要求,从而适合于任意形式的右端激励.理论与算例表明,长效HHPD CS算法十分有效,不仅计算量比R K算法小许多,而且数值稳定、计算精度高、设计合理,易于推广和实现. 相似文献
159.
In Oh, Naveau and Lee (2001) a simple method is proposed for reducing the bias at the boundaries for wavelet thresholding regression. The idea is to model the regression function as a sum of wavelet basis functions and a low-order polynomial. The latter is expected to account for the boundary problem. Practical implementation of this method requires the choice of the order of the low-order polynomial, as well as the wavelet thresholding value. This paper proposes two automatic methods for making such choices. Finite sample performances of these two methods are evaluated via numerical experiments. 相似文献
160.