基于进化博弈的优质猪肉供应链质量安全行为协调机制研究

本文提出了优质猪肉供应链合作伙伴的质量安全行为协调的概念,应用进化博弈的双种群博弈理论,研究了优质猪肉供应链合作伙伴的质量安全行为协调的博弈演化过程及影响因素。研究表明,协调演化方向受协调成本、协调收益、收益分配系数(损失分摊系数)、被惩罚概率、潜在损失、经营规模和奖惩系数等7个因素的影响。降低协调成本,提高协调收益,建立公平有效的利益分配(损失分摊)机制、加强外部监管和惩罚力度,将会促进优质猪肉供应链合作伙伴的质量安全行为协调的实现。     

汽轮发电机组振动故障诊断的模糊输入方法

针对汽轮发电机组振动故障的特点,构造了一模糊神经网络（ＦＮＮ）诊断模型,讨论了网络的多种模糊化输入,输出方式,并对两种模糊输入方法进行了对比分析。最后运用该诊断方法与传统的ＢＰ网络诊断方法进行比较。结果表明：模糊神经网络诊断方法对汽轮发电机组振动故障的识别是有效的,且在分类模糊边界数据时优于ＢＰ网络诊断方法。     

An efficient nonlinear iteration scheme for nonlinear parabolic-hyperbolic system

A nonlinear iteration method named the Picard-Newton iteration is studied for a two-dimensional nonlinear coupled parabolic-hyperbolic system. It serves as an efficient method to solve a nonlinear discrete scheme with second spatial and temporal accuracy. The nonlinear iteration scheme is constructed with a linearization-discretization approach through discretizing the linearized systems of the original nonlinear partial differential equations. It can be viewed as an improved Picard iteration, and can accelerate convergence over the standard Picard iteration. Moreover, the discretization with second-order accuracy in both spatial and temporal variants is introduced to get the Picard-Newton iteration scheme. By using the energy estimate and inductive hypothesis reasoning, the difficulties arising from the nonlinearity and the coupling of different equation types are overcome. It follows that the rigorous theoretical analysis on the approximation of the solution of the Picard-Newton iteration scheme to the solution of the original continuous problem is obtained, which is different from the traditional error estimate that usually estimates the error between the solution of the nonlinear discrete scheme and the solution of the original problem. Moreover, such approximation is independent of the iteration number. Numerical experiments verify the theoretical result, and show that the Picard-Newton iteration scheme with second-order spatial and temporal accuracy is more accurate and efficient than that of first-order temporal accuracy.     

C-连通序列下模糊显示偏好公理满足程度的研究

在C-连通序列下给出模糊选择函数C满足显示偏好公理WAFRP°、SAFRP°及公理HAFRP的程度,并讨论了它们之间的关系以及它们与一致性公理程度WFCA (C)和SFCA(C)之间的关系.     

Inventory competition for newsvendors under the objective of profit satisficing

Inventory competition for newsvendors (NVs) has been studied extensively under the objective of expected profit maximization which is based on risk neutrality. In this paper, we study this classic problem under the objective of profit satisficing which is based on downside-risk aversion. Consistent with prior literature, we consider two possible scenarios. In the first scenario, each NV’s demand depends on the stocking levels of all NVs other than herself. In this scenario, we show that there is a unique Nash equilibrium where all NVs optimally order as if they were independent. In the second scenario, each NV’s demand depends on the stocking levels of all NVs including herself. We prove the existence of Nash equilibrium for both additive and multiplicative forms of demands. As a special case, we also study symmetrical NVs under the proportional allocation model. We show that at equilibrium, if the number of NVs exceeds a threshold, the market becomes highly competitive.     

Introduction to Co-split Lie Algebras

In this work, we introduce a new concept which is obtained by defining a new compatibility condition between Lie algebras and Lie coalgebras. With this terminology, we describe the interrelation between the Killing form and the adjoint representation in a new perspective.     

Equitable edge‐colorings of simple graphs

An edge‐coloring of a graph G is equitable if, for each v∈V(G), the number of edges colored with any one color incident with v differs from the number of edges colored with any other color incident with v by at most one. A new sufficient condition for equitable edge‐colorings of simple graphs is obtained. This result covers the previous results, which are due to Hilton and de Werra, verifies a conjecture made by Hilton recently, and substantially extends it to a more general class of graphs. © 2010 Wiley Periodicals, Inc. J Graph Theory 66:175‐197, 2011     

K-controllability and Approximate K-controllability of Nonlinear Neutral Systems in Banach Spaces

In this paper, K-controllability and approximate K-controllability of non- linear neutral differential equations in Banach spaces are studied. Sufficient conditions are established for each of these types of controllability. The results are obtained by using Leray-Schauder theory.     

基于多目标最优化混合按订单生产和提前生产策略库存模型算法

考虑了包含多阶段和多家零售商在内的混合按订单生产(Produce-to-Order)和提前生产(Produce-in-Advance)策略库存模型.将这一模型推广至多种产品情况下,当需求为正态分布时,将这一问题转化为一类多目标约束最优化问题,并给出两种算法来解决这一问题.