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China Standardization 2010年第1期55卷 22-29页

作者： Wang Jiyun Mei Lixia Zhongnan University of economics and Law Wuhan

This article briefly introduces the history, current situation and characteristics of standardization management education in the school of Business and Administration （SBA）, Zhongnan University of economics and Law （ZUEL）. ZUEL＇s different levels of standardization education are discussed in detail, including undergraduate students, graduate students, and continuing education training for working professionals. Also ZUEL＇s teaching style, research foundation, and relative experiences in standardization education are introduced. ZUEL＇s capacity and characteristics are comprehensively shown and expected further developments in standardization education at ZUEL are provided.

关键词： standardization standardization education Zhongnan University of economics and Law

Extensions and Deformations of 3-Lie Algebras with Higher Derivations

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Journal of Mathematical Research with Applications 2025年第1期 20-32页

作者： Shuangjian GUO school of Mathematics and Statistics Guizhou University of Finance and Economics

In this paper, we call a tuple consisting of 3-Lie algebra and a higher derivation on it a 3-LieHDer pair. We introduce a cohomology theory of 3-LieHDer pairs. Next, we interpret the second cohomology group as the space of all isomorphism classes of abelian extensions. Finally,we consider formal deformations of 3-LieHDer pairs that are governed by the cohomology with self-coefficient.

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Sharp Bounds for Upper and Bottom Spectrum of Hermitizable Tridiagonal Matrices

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Journal of Mathematical Research with Applications 2025年第1期 125-132页

作者： Yueshuang LI Lingdi WANG school of Statistics Capital University of Economics and Business school of Mathematics and Statistics Henan University

We display sharp bounds for upper and lower spectrum of a Hermitizable tridiagonal matrix. The representations are brought to light by exploiting the characteristic for eigenpairs(eigenvalue and its corresponding eigenvector) of tridiagonal matrices, isospectral transforms and sharp bounds for speed stability of birth-death processes.

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Accuracy and Consistency of the Explicit-Invariant Energy Quadratization Approach for the Cahn-Hilliard Equation

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Journal of Mathematical Research with Applications 2025年第1期 84-104页

作者： Jun ZHANG Fangying SONG Yu ZHANG Computational Mathematics Research Center Guizhou University of Finance and Economics school of mathematics and statistics Guizhou University of Finance and Economics school of Mathematics and Stastistics Fuzhou University

It is well known that the explicit-invariant energy quadratization (EIEQ) approach can generate fully decoupled, linear and unconditionally energy-stable numerical schemes, so it is favored by many researchers. However, the undeniable fact is that the numerical method obtained by EIEQ approach preserves the “modified” energy law instead of the original *** is mainly due to the introduction of some auxiliary variables in EIEQ scheme, and the truncation error will make the auxiliary variables deviate from the original definition in the process of numerical calculation. The primary objective of this paper is to address this gap by providing the accuracy and consistency of the EIEQ method in the context of the CahnHilliard equation. We introduce a relaxation technique for auxiliary variables and construct two numerical schemes based on EIEQ. The analysis results show that the newly constructed schemes are not only unconditionally energy stable, linear and fully decoupled, but also can effectively correct the errors introduced by auxiliary variables and follow the original energy ***, several 2D and 3D numerical examples illustrate the accuracy and efficiency of the newly constructed numerical schemes.

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The Changing of Common Priors in Sequential Auctions

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Journal of Systems Science & Complexity 2016年第5期29卷 1342-1357页

作者： QIAO Heng MA Jun school of economics Central University of Finance and Economics Business school University of International Business and Economics

In sequential auctions the phenomenon of declining prices is often observed, which in theory can be represented by a supermartingale. This paper employs the perspective that bidders' values may change over stages and the common priors are sequentially adjusted by the remaining bidders. It is shown that the declining price sequence can be explained by the adjustment of common priors between auctions. The adjustment of common priors is characterized by stochastic orders. Sufficient and necessary conditions for a supermartingale price sequence are derived.

关键词： First-price sealed-bid auction private-value paradigm sequential auctions.

STOCHASTIC MAXIMUM PRINCIPLE FOR MIXED REGULAR-SINGULAR CONTROL PROBLEMS OF FORWARD-BACKWARD SYSTEMS

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Journal of Systems Science & Complexity 2013年第6期26卷 886-901页

作者： ZHANG Feng school of Mathematics and Quantitative economics Shandong University of Finance and Economics

This paper considers a stochastic optimal control problem of a forward-backward system with regular-singular controls where the set of regular controls is not necessarily convex and the regular control enters the diffusion *** control problem is difficult to solve with the classical method of spike *** authors use the approach of relaxed controls to establish maximum principle for this stochastic optimal control *** optimality conditions are also investigated.

关键词： Forward-backward system maximum principle relaxed control singular control.

Evaluation matrix with the speed feature based on double inspiriting control lines

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Journal of Systems Engineering and Electronics 2013年第6期24卷 962-970页

作者： Weiwei Liu Chunsheng Shi Jing Li school of economics and Management Harbin Engineering University school of economics and Management Harbin Institute of Technology

Methods of the comprehensive evaluation have been studied for many years. However, the change speed of evaluated objects was rarely considered by the existing evaluation methods. An evaluation matrix is proposed to remedy this deficiency. Firstly, the change speed state （CSS） of the evaluated objects is analyzed based on double inspiriting control lines （DICLs）, and a matrix of the CSS is constructed. Then, 72 elements in the matrix are analyzed, and formulas describing each CSS are given. The efficiency of the proposed evaluation matrix is proved when the CSS merges with the change speed trend （CST） in the dynamic comprehensive evaluation. Finally, a computing example shows that the proposed evaluation matrix is feasible in the dynamic comprehensive evaluation with the speed feature.

关键词： double inspiriting control lines (DICLs) change speed state (CSS) change speed trend (CST) evaluation matrix

COMPARISONS OF LOW CARBON POLICIES IN SUPPLY CHAIN COORDINATION

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Journal of Systems Science and Systems Engineering 2014年第3期23卷 343-362页

作者： Lei YANG Chenshi ZHENG Minghui XU school of economics and Commerce South China University of Technology school of economics and Management Wuhan University

This paper investigates the influence of low-carbon policies on channel coordination for a two-echelon supply chain consisting of one supplier and one retailer. Four different models are considered： the basic model, the carbon emission model, the carbon emission trading model and the carbon tax model. We find that the government policy on all carbon emission models is not universal among the firms as well as the customers. The carbon emission trading policy is always better than the carbon emission policy and the carbon tax policy when the allocated carbon emission quotas are greater than the carbon emissions. The carbon emission trading policy is proved to be an effective mechanism which can motivate the supply chain to reduce carbon emissions. Under certain conditions, the supply chain prefers the carbon emission trading policy with higher carbon price to other policies. In the framework of Stackelberg game with the supplier as the leader, for each carbon policy, the paper presents coordination mechanism with the all-unit wholesale quantity discount contract （AWQD）. We analyze and compare the influence of low-carbon policies on channel coordination for the foul＂ low-carbon policies. Numerical experiments are conducted to examine our findings.

关键词： Carbon emission low-carbon policy carbon quotas supply chain coordination quantitydiscount

THE EFFECTS OF MARKET DEPTH ON THE ARRIVAL RATE OF ORDERS

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Journal of Systems Science & Complexity 2014年第6期27卷 1192-1203页

作者： ZHANG Qiang LIU Shancun QIU Wanhua school of economics and Management Beijing University of Chemical Technology school of economics and Management Beihang University

This paper presents a model to describe the dynamic trading process in limit order *** studying the dynamic pattern of execution probabilities of limit orders with both time and the depth of limit order book,the authors conclude with the following properties:Arrival rates of market buy orders increase as the depth of buy queue in the book increases and decrease as the depth of sell queue increases,and vice versa;similar regularities for the arrival rate of market sell orders;both the arrival rate of market buy order and market sell orders increase as the depth of both sides in the book increases by the same ***,the authors describe more detailed temporary and permanent effects of the market depth on the arrival rates of orders.

关键词： Arrival rate limit order market market depth private value.

WEAK ORLICZ SPACE AND ITS CONVERGENCE THEOREMS

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Acta Mathematica Scientia 2010年第5期30卷 1492-1500页

作者：刘宁叶永刚 school of economics and Managements Wuhan University Finance school Hubei University of Economics

In this article, a class of weak Orlicz function spaces is defined and their basic properties are discused. In particular, for the sequences in weak Orlicz space, we establish several basic convergence theorems including bounded convergence theorem, control convergence theorem and Vitali-type convergence theorem and so on. Moreover, the conditional compactness of its subsets is also discussed.

关键词： weak Orlicz space convergence theorem conditional compactness