漂移型线性规划方法探讨及应用

本文对漂移型线性规划的求解给出一种改进方法，使求解方向明确，满意度最大可达到１，并给出具体应用。     

An improved class of estimators of a finite population quantile in sample surveys

This work proposes a general class of estimators for a finite population quantile using auxiliary information. This information is provided by the population means of auxiliary variables. The optimum estimator in this class is derived. This result is supported with a numerical example.     

求n阶实方阵的任意个模最大的特征值及其相应特征向量的规范化幂法

本文给出并论证了当 n阶实方阵 A具有 r( 1≤ r≤n)个模最大的特征值及其相应特征向量的方法 .实施规范化措施 ,使得行范数等于 1 ,在电子计算机上不会产生溢出停机 ,这是一种有实用价值的算法     

我国第三产业与消费和交通电讯业关系的统计分析及其发展战略探讨

本文以生产函数理论为基础 ,根据第三产业、消费和交通电讯业的统计数据建立第三产业数学模型 ,定量地分析第三产业发展决策 ,阐明我国第三产业发展规模、速度及方向     

The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean

The existence of extremal solutions of the Nonlinear Integro-differential system of the initia-Value problem with singular coefficients are proved by monotone iterative technique. This is achieved by developing a comparison result. This does not require the usual classical assumption of the increasing nature of the integral term. This is turn includes the earlier known scalar results asa special case.     

构造正交小波基的基本方法之一

本文不仅给出一种构造局部性好的正交小波基的方法,并且给出了构造各种优良性质的正交小波基的一般思想方法。其特点:使构造的小波母函数有具体的表达式,既有较好的光滑性,又有很好的局部性,并且其收敛速度与│t│~（-（3k 1））同阶,其中k为任意自然数。这种方法不需要每次重新构造函数,只要改变k的值,就能满足不同实际问题的需要。     

Stochastic decomposition for retrial queues

Summary This paper deals with the stochastic decomposition property for retrial queues. This property is connected with similar results for vacation models. As applications, the moments of the number of customers in orbit and the rate of convergence under high retrial intensity can be obtained. This work was supported under Grant PR161/93-4777     

宏观质量指数研究

本文构建了宏观质量竞争力评价指标体系,并用因子分析法建立了宏观质量指数模型,探讨了宏观质量指数MQI与地区生产总值GDP之间的关系,并以我国某省六个地级市为例,进行了实证研究,研究表明,MQI与GDP之间具有显著的正相关性。     

多项式余数定理的推广形式

本文将范德蒙(Vanderm onde)行列式应用于余数定理中,从而使余数定理得到进一步的推广.     

The assessment of retailing efficiency using Network Data Envelopment Analysis

This paper describes a method for the assessment of retail store performance based on Data Envelopment Analysis (DEA). The assessment considers the stores as complex organizations that aggregate several subunits, corresponding to sections with management autonomy. This structure motivated an analysis at two different levels: the section level and the store level. The performance assessment of the sections envolves a comparison among similar sections located in different stores, and evaluates efficiency spread. This is followed by an analysis at the store level to define targets for the sections. This analysis takes into account the interdependencies of the sections composing a store, as they share limited resources such as the floor area. This is achieved using a Network DEA model, which determines the maximum store sales allowing for reallocations of area among the sections within a store. The method developed is illustrated using a case study consisting of a Portuguese chain of supermarkets.     

条件价值法中支付意愿的影响因素分析

结合一次针对三江平原湿地非使用价值进行的问卷调查,对条件价值法中支付意愿与问卷各问题之间的相关关系进行分析.对无序变量采用了χ²检验方法,对定序变量采用了Kendall系数检验.最终认为,受访者的社会情况与对湿地的认识问题相比较,受访者的社会情况对支付意愿有着更强烈的影响.     

Approximate Calculation of Optimal Inspection Times

This paper considers an inspection model whose failure is known only through checking. A new approximate calculation of optimal checking procedures is suggested. This computes successive check times backwards, supposing that an appropriate check time is previously given after a large number of checks. This policy is simple to compute and compares fairly well with the optimal policy.     

Polynomials orthogonal with respect to discrete convolution

The concept of “Discrete Convolution Orthogonality” is introduced and investigated. This leads to new orthogonality relations for the Charlier and Meixner polynomials. This in turn leads to bilinear representations for them. We also show that the zeros of a family of convolution orthogonal polynomials are real and simple. This proves that the zeros of the Rice polynomials are real and simple.     

On quasistatic inelastic models of gradient type with convex composite constitutive equations

This article defines and presents the mathematical analysis of a new class of models from the theory of inelastic deformations of metals. This new class, containing so called convex composite models, enlarges the class containing monotone models of gradient type defined in [1]. This paper starts to establish the existence theory for models from this new class; we restrict our investigations to the coercive and linear self-controlling case.     

投资环境地区横向比较

本文以各地区经济数据为基础,通过建立统计分析的数学模型,给出了度量、评测投资环境的客观标准,并应该标准对几个典型城投资环境进行评价和分类,从一个新的角度,就客观、定量的研究投资环境进行了探索.     

全概率公式的教学设计

本利用启发式教学法，对全概率公式教学进行了启发式的教学设计，提高了教学效果。     

An Inventory Model with an Inventory-Level-Dependent Demand Rate and Relaxed Terminal Conditions

This paper investigates an inventory system with an inventory-level-dependent demand rate followed by a constant demand rate. The analysis previously conducted on this model imposed a terminal condition of zero inventory at the end of the order cycle. This condition is not warranted for systems with inventory-level-dependent demand rates, even for deterministic models. This paper relaxes this restriction, and an appropriate model is developed.     

Subharmonics near an equilibrium point for hamitonian systems

This work is devoted to the study of subharmonic solutions near an equilibrium for certain Hamiltonian systems. We impose a weak condition on the Floquet exponents of the linearized system, and a superquadratic condition on the higher order term. This last condition is reduced to the center manifold. This research was supported in part by the Air Force Office of Scientific Research under Grant AFOSR-87-0202.     

Optimal prevention and prudence in a two-period model

This work shows that, in a two-period framework, prudence has a positive effect on optimal prevention. This conclusion is the opposite to that obtained in a one-period framework [Eeckhoudt L., Gollier C., 2005. The impact of prudence on optimal prevention. Economic Theory 26, 989–994]. This is due to the opposite effect of prevention on wealth in the period where the risk occurs.     

A reduction technique for discrete generalized algebraic and difference Riccati equations

This paper proposes a reduction technique for the generalized Riccati difference equation arising in optimal control and optimal filtering. This technique relies on a study on the generalized discrete algebraic Riccati equation. In particular, an analysis on the eigenstructure of the corresponding extended symplectic pencil enables to identify a subspace in which all the solutions of the generalized discrete algebraic Riccati equation are coincident. This subspace is the key to derive a decomposition technique for the generalized Riccati difference equation. This decomposition isolates a “nilpotent” part, which converges to a steady-state solution in a finite number of steps, from another part that can be computed by iterating a reduced-order generalized Riccati difference equation.