Generalized quasilinearization method for reaction-diffusion equations under nonlinear and nonlocal flux conditions

In this paper we consider an initial boundary value problem for a reaction-diffusion equation under nonlinear and nonlocal Robin type boundary condition. Assuming the existence of an ordered pair of upper and lower solutions we establish a generalized quasilinearization method for the problem under consideration whose characteristic feature consists in the construction of monotone sequences converging to the unique solution within the interval of upper and lower solutions, and whose convergence rate is quadratic. Thus this method provides an efficient iteration technique that produces not only improved approximations due to the monotonicity of its iterates, but yields also a measure of the convergence rate.     

Lower Bounds from State Space Relaxations for Concave Cost Network Flow Problems

In this paper we obtain Lower Bounds (LBs) to concave cost network flow problems. The LBs are derived from state space relaxations of a dynamic programming formulation, which involve the use of non-injective mapping functions guaranteing a reduction on the cardinality of the state space. The general state space relaxation procedure is extended to address problems involving transitions that go across several stages, as is the case of network flow problems. Applications for these LBs include: estimation of the quality of heuristic solutions; local search methods that use information of the LB solution structure to find initial solutions to restart the search (Fontes et al., 2003, Networks, 41, 221–228); and branch-and-bound (BB) methods having as a bounding procedure a modified version of the LB algorithm developed here, (see Fontes et al., 2005a). These LBs are iteratively improved by penalizing, in a Lagrangian fashion, customers not exactly satisfied or by performing state space modifications. Both the penalties and the state space are updated by using the subgradient method. Additional constraints are developed to improve further the LBs by reducing the searchable space. The computational results provided show that very good bounds can be obtained for concave cost network flow problems, particularly for fixed-charge problems.     

A Modified Quasi-Newton Method for Structured Optimization with Partial Information on the Hessian

This paper develops a modified quasi-Newton method for structured unconstrained optimization with partial information on the Hessian, based on a better approximation to the Hessian in current search direction. The new approximation is decided by both function values and gradients at the last two iterations unlike the original one which only uses the gradients at the last two iterations. The modified method owns local and superlinear convergence. Numerical experiments show that the proposed method is encouraging comparing with the methods proposed in [4] for structured unconstrained optimization Presented at the 6th International Conference on Optimization: Techniques and Applications, Ballarat, Australia, December 9–11, 2004     

有界变量线性规划的基线算法

本文对有界变量线性规划的算法进行了研究，得到了一种解此问题的新算法。文中根据基线算法的算法原理，通过对BL表的旋转，在各变量满足界约束的条件下，使目标函数值不断增大，直至得到有界硬上界，从而得到问题的最优解。文中给出了有界变量线性规划基线算法的计算步骤，并给出了一个例子。与单纯形法相比，采用基线算法解有界变量线性规划操作更简单。迭代次数少，解题速度更快。     

粒子-转子模型和推转壳模型中的能谱统计分析

用粒子–转子模型和推转壳模型研究了6个粒子分别填充在单j壳和双j壳上的混沌行为.分析了单j壳和双j壳情况下能谱的最近邻能级间距分布和谱刚度随自旋及推转频率的变化,结果表明,当组态空间大小不变时,系统在双j壳(g_7/2+d_5/2)情况下比在单j壳(i_13/2)情况下更规则,而当组态空间从单j壳(i_13/2)扩大到双j壳(i_13/2+g_9/2)时,系统的混沌程度变化不大.同时比较了将6个粒子的两体相互作用分别取为δ力和对力时的系统的混沌行为     

信息技术和教学方式的改革

主要阐述了信息技术给教学方式带来的深远影响，以及21世纪教师掌握和应用信息技术以辅助教学的必要性。     

山西省入境旅游市场竞争态及转移分析

山西是全国旅游资源大省之一，拥有众多品位极高的旅游资源，但强大的资源优势并没有很好的转化为经济优势，这些年入境旅游业绩一直位居全国中下游．为了尽快改变这种状况，使山西入境旅游业得以加速发展，分析研究其市场状况就是很有必要的了．本文借助市场竞争态模型对2000年～2002年和2003年～2005年山西省入境旅游客源市场的竞争态势进行对比分析，并对山西省入境旅游市场竞争态进行动态分析．在分析的基础上，提出了拓展山西入境旅游市场的几点建议．     

钢筋混凝土仿木构建筑在贵州建筑中应用的探讨

论述了古建筑的一些结构构造特点及新时期对古建筑的需求.将钢筋混凝土材料和木材的各种性能进行比较,得出用钢筋混凝土仿木构建筑比木构建筑具有更好的耐久性和耐火性.通过对贵州经济现状分析指出旅游业在贵州省经济中所占的比重及在旅游区修复古建筑的重要性.结合贵州省情及全球生态环境指出在贵州用钢筋混凝土材料替代木材的必要性.     

基于GM（1，1）模型的某高校招生人数预测

分析了近年来我国高校招生人数的变化趋势，并利用GM（1，1）模型对某高校2008年的招生人数进行了预测．从而为高校招生人数决策提供了依据。     

论无锡市欣丰电容器厂的优势、劣势以及在企业宏观与微观环境中的威胁与机会

文章从企业组织,员工队伍,经营业务领域以及经营发展轨迹出发,以企业经营所处的宏观环境与微观环境为切入点,对企业在竞争中的优势与劣势,以及企业在经营与发展所处环境中面临的机会与威胁进行了分析。