Estimation of static travel times in a dynamic route guidance system—II

In an earlier paper a method for computing static profiles of link travel times was given. In this paper, the centrality of such profiles for ATIS is examined and the methods given in the earlier paper are applied to actual data. Except for a minor, easily correctable problem, the methods are shown to work very well under real-life conditions.     

Total versus single point blow-up in a localized heat system

This paper considers a heat system with localized sources and local couplings subject to null Dirichlet boundary conditions, for which both total and single point blow-up are possible. The aim of the paper is to identify the total and single point blow-up via a complete classification for all the nonlinear parameters in the model. As preliminaries of the paper, simultaneous versus non-simultaneous blow-up of solutions is involved, too. The results are then compared with those for another kind of heat system coupled via localized sources in a previous paper of the authors.     

Partial and Recombined Estimators for Nonlinear Additive Models

Starting from a variant of an estimator using marginal integration, this paper proposes partial and recombined estimators for nonlinear additive regression models. Partial estimators are used for data analysis purposes and recombined estimators are used to improve the estimation and prediction performances for small to moderate sample sizes. In the first part of the paper, some simulations illustrate step-by-step the principle and the value of the proposed estimators, which are finally applied to the analysis and prediction of ozone concentration in Paris area. In the second part of the paper, almost sure convergence results as well as a multivariate central limit theorem and a test for partial additivity are provided. This revised version was published online in June 2006 with corrections to the Cover Date.     

Mirror symmetry for closed,open, and unoriented Gromov–Witten invariants

In the first part of this paper, we obtain mirror formulas for twisted genus 0 two-point Gromov–Witten (GW) invariants of projective spaces and for the genus 0 two-point GW-invariants of Fano and Calabi–Yau complete intersections. This extends previous results for projective hypersurfaces, following the same approach, but we also completely describe the structure coefficients in both cases and obtain relations between these coefficients that are vital to the applications to mirror symmetry in the rest of this paper. In the second and third parts of this paper, we confirm Walcher's mirror symmetry conjectures for the annulus and Klein bottle GW-invariants of Calabi–Yau complete intersection threefolds; these applications are the main results of this paper. In a separate paper, the genus 0 two-point formulas are used to obtain mirror formulas for the genus 1 GW-invariants of all Calabi–Yau complete intersections.     

均布载荷下矩形板大挠度问题的摄动变分解

本文以中心挠度为摄动参数,将矩形板大挠度问题的非线性偏微分方程组转化成几个线性偏微分方程,然后用变分法求解,得出了具有任意长宽比的板的解答,给出了位移、挠度及各内力的解析表达式;并给出中心点和边界中心的应力数值计算公式。本文还以长宽比λ为参数,作出了最大挠度——载荷曲线及最大应力曲线。其结果与实验进行了比较,表明二者是一致的。     

On the one-commodity pickup-and-delivery traveling salesman problem with stochastic demands

This paper studies how to set the vehicle capacity for traveling Salesman Problems where some of the customer demands are stochastic. The analyses are done for the one-commodity pickup-and-delivery TSP, as this problem also includes the setting of the initial load. The paper first considers feasibility issues. This includes finding the smallest vehicle capacity and some initial load such that a given tour is feasible for all scenarios. Different variants are considered as a function of the time when information becomes available. The paper then analyzes the case where some penalties are paid for routing a tour unable to handle customer demands. Various types of penalties are considered. The paper studies properties of the minimal expected penalty of a given tour, which are then used to provide approaches to find near-optimal tours. Computational results are presented.     

层次分析法在湖南省粮食生产发展对策分析中的应用

本文综述了层次分析法的基本原理和过程，建立了湖南省粮食生产发展对策分析的层次分析模型，对影响湖南省粮食生产发展的多种因素进行了综合排序，其结果有一定的实际指导意义．     

A modeling approach to logistics in concurrent engineering

This paper advocates logistics involvement in the early phases of product design and development in a concurrent engineering environment. A concurrent engineering environment and the benefits of such involvement are explained in detail. The paper focuses on facilitating an interface and a collaboration between the designer and the logistician. A conceptual interface for design for logistics is presented. Four areas of interface are considered: (a) logistics engineering, (b) manufacturing logistics, (c) design for packaging, and (d) design for transportability. A set of detailed design factors pertaining to each area are presented. A modeling approach, Bond Energy Algorithm, is used to accomplish the design for logistics concerns developed throughout the paper. An example is provided to test and validate the algorithm. The results are analyzed and appropriate perspectives for managerial implication of the methodology are provided. Finally, some conclusions and assessments are presented.     

Solving a two-dimensional trim-loss problem with MILP

In this paper a two-dimensional trim-loss problem connected to the paper-converting industry is considered. The problem is to produce a set of product paper rolls from larger raw paper rolls such that the cost for waste and the cutting time is minimized. The problem is generally non-convex due to a bilinear objective function and some bilinear constraints, which give rise to difficulties in finding efficient numerical procedures for the solution. The problem can, however, be solved as a two-step procedure, where the latter step is a mixed integer linear programming (MILP) problem. In the present formulation, both the width and length of the raw paper rolls as well as the lengths of the product paper rolls are considered variables. All feasible cutting patterns are included in the problem and global optimal cutting patterns are obtained as the solution from the corresponding MILP problem. A numerical example is included to illustrate the proposed procedure.     

《关于K?the问题及幂零性问题》一文的注记

In the paper [1], Xu Yonghua has studied the necessary and sufficient condition for the K?the conjecture to be affirmed, for every one side nil ideal to he nilpotent, respectively. In this paper.it is proved that "The chains of the homomorphic left R modules are inductive on one of the K?the subsets" can he used instead of "The chains are inductive on every one of the K?the sub sets" in the paper [1],so Xu's results are improved.     

一类三角域上的三次样条插值(英文)

In this paper, we consider spaces of cubic C^1-spline on a class of triangulations. By using the inductive algorithm, the posed Lagrange interpolation sets are constructed for cubic spline space. It is shown that the class of triangulations considered in this paper are nonsingular for S1/3 spaces. Moreover, the dimensions of those spaces exactly equal to L. L. Schuraaker＇s low bounds of the dimensions. At the end of this paper, we present an approach to construct triangulations from any scattered planar points, which ensures that the obtained triangulations for S1/3 space are nonsingular.     

The existence of minimal surfaces of given topological structure under prescribed boundary conditions

The purpose of the present paper is the solution of the boundary value problems for minimal surfaces when the boundaries are not, or not entirely-fixed Jordan curves but are free to move on prescribed manifolds. At the same time I shall present modifications and simplifications of my previous solution of the Plateau' and Douglas' problem for fixed boundary curves and prescribed topological structure and incidentally discuss certain features of the problem in order to clarify its relation to the theory of conformal mapping. Though based on previous publications, the paper may, except for some references, be read independently. Nos. [9], [10], [11], [12], [13], [14] of the bibliography at the end of the paper. References to this list are made in square brackets throughout this paper.     

The relationship between the minimum-variance and minimax disparity RIM quantifier problems

Recently, Liu and Lou [On the equivalence of some approaches to the OWA operator and RIM quantifier determination, Fuzzy Sets and Systems 159 (2007) 1673-1688] investigated the equivalence of solutions to the minimum-variance and minimax disparity RIM quantifier problems. However, their proofs are very sensitive to the assumption, and some are mathematically incomplete. In this regard, this paper provides a counterexample of the minimax disparity RIM quantifier problem for the case in which generating functions are continuous. The paper also provides a correct proof of the minimax disparity RIM quantifier problem for the case in which generating functions are absolutely continuous and a generalized result for the minimum-variance RIM quantifier problem for the case in which generating functions are Lebesgue integrable. Based on the results, the paper provides a correct relationship between the minimum-variance and minimax disparity RIM quantifier problems.     

带有微弱章动的圆球在粗糙水平面上的运动

对于圆球在粗糙水平面上的运动,在文[1]中,作者忽略了章动,得到了近似解析解。本文在此基础上给出了有章动情况下的控制方程。通过求解这些方程,证明文[1]关于接触点速度的结论在有章动时仍然正确。还得到其它一些有趣的结果,例如:球心和接触点的速度与球的自转角速度和章动角速度有一定联系;球心和接触点的速度的方向具有不变性。在进一步假设微弱章动的情况下,文中得到近似解析解,从而证明文[1]结果的正确性。     

高等数学求极限教学的一些建议

分析极限教学中出现的一些问题,并给出相应建议．     

On the development and application of maintenance policies for a two-component system with failure dependence

Maintenance policies for two-component systems with failuredependence and economic dependence are considered in this paper.Policies considered are of the age-based replacement and opportunisticage-based replacement type. Where tractable, long-run costsper unit time are calculated using renewal-theory-based arguments;otherwise simulation studies are carried out. The managementimplications for the adoption of the various policies are discussed.The usefulness of the results in the paper is illustrated throughapplication to a particular two-component system.     

Computational complexity analysis for multiple hypothesis tracking

This paper presents a detailed analysis of computational complexity of Multiple Hypothesis Tracking (MHT). The result proves that the computational complexity of MHT is dominated by the number of hypotheses. Effects of track merging and pruning are analyzed also. Certain common design parameters of MHT, such as thresholds, are also discussed in detail. The results of this paper provide a guidance for selecting parameters in an MHT tracker and predicting its performance.Among the design parameters discussed in this paper, track merging appears to be the most important way for controlling the computational complexity of MHT. Thresholds for track deletion are also critical. If not all measurements are allowed to initiate new tracks, the number of new tracks can also be used for tuning the computation requirement of MHT, but it is not as significant as thresholds.     

非线性算子方程变号解的存在性及其应用

本文利用锥理论讨论了非线性算子方程变号解的存在性,并将抽象结果应用于Sturm-Liouville两点边值问题。所得结果无论在理论上还是在应用上都是新的.     

Using computer software in the teaching of mechanics

The paper looks at ways of using computer software in the teaching of mechanics. The various reasons for using software are discussed to justify the use of software. A number of examples are then considered to show how different types of software can be used. Examples shown are taken from very specific types of software, more general simulation software and mathematical software. The paper discusses using software to explore mechanics, to challenge ‘misconceptions’, to make links between mathematical representations and motion and to solve non-standard problems. The paper also stresses the need for structured approaches to the use of software.     

Global existence and asymptotic behaviour for a nonlocal phase-field model for non-isothermal phase transitions

In this paper a nonlocal phase-field model for non-isothermal phase transitions with a non-conserved order parameter is studied. The paper extends recent investigations to the non-isothermal situation, complementing results obtained by H. Gajewski for the non-isothermal case for conserved order parameters in phase separation phenomena. The resulting field equations studied in this paper form a system of integro-partial differential equations which are highly nonlinearly coupled. For this system, results concerning global existence, uniqueness and large-time asymptotic behaviour are derived. The main results are proved using techniques that have been recently developed by P. Krej?í and the authors for phase-field systems involving hysteresis operators.