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Game-theoretical Models of a Two-echelon Supply Chain Involving Two Substitutable Products

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Journal of Systems Science and Systems Engineering 2021年第3期30卷 307-320页

作者： Zhenkai lou Fujun Hou Xuming lou Tingting Ma School of Management and Economics Beijing Institute of TechnologyBeijingChina School of Economics and Management Xi’an University of Posts and TelecommunicationsXi’anChina School of Logistics Beijing Wuzi UniversityBeijingChina

This paper considers tripartite pricing issues in a two-echelon supply chain involving duopolistic manufacturers and a single ***,a tripartite competitive model is conducted,in which both a Stackelberg game and a Bertrand game occur *** is shown that the manufacturer who possesses a higher sales quantity gains more profits than the other ***,a definition of optimal vertical pricing alliance is proposed when cooperation exists between the retailer and some *** conduct two-player games when partial cooperation exists among the three *** is demonstrated that the total profit of the alliance is higher than the sum profit of the corresponding two participants in the tripartite competition model,and meanwhile the profit of the manufacturer who is not in the alliance suffers a ***,a criterion is given to judge which manufacturer the retailer will choose to cooperate in order to maximize the total increased *** the perspective of game theory,we examine the stability of the vertical alliance with considering the dominance of the ***,a numerical illustration is designed to examine the judging criteria of which manufacturer is the member of the optimal alliance under different potential market demands.

关键词： Tripartite pricing game substitutable products equivalent judging criterion optimal vertical pricing alliance

A novel(2+1)-dimensional integrable KdV equation with peculiar solution structures

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Chinese Physics B 2020年第8期29卷 176-181页

作者： Sen-Yue lou School of Physical Science and Technology Ningbo UniversityNingbo 315211China

The celebrated(1+1)-dimensional Korteweg de-Vries(KdV)equation and its(2+1)-dimensional extension,the Kadomtsev-Petviashvili(KP)equation,are two of the most important models in physical *** KP hierarchy is explicitly written out by means of the linearized operator of the KP equation.A novel(2+1)-dimensional KdV extension,the cKP3-4 equation,is obtained by combining the third member(KP3,the usual KP equation)and the fourth member(KP4)of the KP *** integrability of the cKP3-4 equation is guaranteed by the existence of the Lax pair and dual Lax *** cKP3-4 system can be bilinearized by using Hirota's bilinear operators after introducing an additional auxiliary *** solutions of the cKP3-4 equation possess some peculiar and interesting properties which are not valid for the KP3 and KP4 *** instance,the soliton molecules and the missing D'Alembert type solutions(the arbitrary travelling waves moving in one direction with a fixed model dependent velocity)including periodic kink molecules,periodic kink-antikink molecules,few-cycle solitons,and envelope solitons exist for the cKP3-4 equation but not for the separated KP3 equation and the KP4 equation.

关键词： (2+1)-dimensional KdV equations Lax and dual Lax pairs soliton and soliton molecules D’Alembert type waves

Averages of shifted convolution sums for arithmetic functions

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Frontiers of Mathematics in China 2019年第1期14卷 123-134页

作者： Miao lou School of Mathematics Shandong University Jinan 250100 China

Let f be a full-level cusp form for GLm(Z) with Fourier coefficients Af(cm-2,…, c1, n): Let λ(n) be either the von Mangoldt function Λ(n) or the k-th divisor function τk(n): We consider averages of shifted convolu... 详细信息

关键词： Average shifted convolution sum arithmetic function

On Singular Sets of Local Solutions to p-Laplace Equations

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Chinese Annals of Mathematics,Series B 2008年第5期29卷 521-530页

作者： Hongwei lou Key Laboratory of Mathematics for Nonlinear Sciences School of Mathematical Sciences Fudan University Shanghai 200433 China

The author proves that the on the singular set of a local solution to existence of an optimal control problem. right-hand term of a p-Laplace equation is zero the equation. Such a result is used to study the

关键词： Singular set p-Laplace equation Optimal control Existence

Ren-integrable and ren-symmetric integrable systems

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Communications in Theoretical Physics 2024年第3期76卷 62-69页

作者： S Y lou School of Physical Science and Technology Ningbo UniversityNingbo315211China

A new type of symmetry,ren-symmetry,describing anyon physics and corresponding topological physics,is ***-symmetry is a generalization of super-symmetry which is widely applied in super-symmetric physics such as super-symmetric quantum mechanics,super-symmetric gravity,super-symmetric string theory,super-symmetric integrable systems and so *** and Grassmann numbers are,in some sense,dual conceptions,and it turns out that these conceptions coincide for the ren situation,that is,a similar conception of ren-number(R-number)is devised for *** particular,some basic results of the R-number and ren-symmetry are exposed which allow one to derive,in principle,some new types of integrable systems including ren-integrable models and ren-symmetric integrable *** examples of ren-integrable KdV-type systems and ren-symmetric KdV equations are explicitly given.

关键词： symmetries integrable systems anyon physics extended supersymmetry ren-symmetry

Preparation of silver nanoparticles through the reduction of straw-extracted lignin and its antibacterial hydrogel

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International Journal of Minerals,Metallurgy and Materials 2025年第02期 504-514页

作者： lou Zhang Shuo Li Fu Tang Jingkai Zhang Yuetong Kang Hean Zhang Lidong Li State Key Laboratory for Advanced Metals and Materials School of Materials Science and EngineeringUniversity of Science and Technology Beijing

Silver nanoparticles(Ag NPs) have attracted attention in the field of biomaterials due to their excellent antibacterial ***, the reducing and stabilizing agents used for the chemical reduction of Ag NPs are usually toxic and may cause water *** this work, Ag NPs(31.2 nm in diameter) were prepared using the extract of straw, an agricultural waste, as the reducing and stabilizing agent. Experimental analysis revealed that the straw extract contained lignin, the structure of which possesses phenolic hydroxyl and methoxy groups that facilitate the reduction of silver salts into Ag NPs. The surfaces of Ag NPs were negatively charged due to the encapsulation of a thin layer of lignin molecules that prevented their aggregation. After the prepared Ag NPs were added to the precursor solution of acrylamide, free radical polymerization was triggered without the need for extra heating or light irradiation, resulting in the rapid formation of an Ag NP–polyacrylamide composite hydrogel. The inhibition zone test proved that the composite hydrogel possessed excellent antibacterial ability due to the presence of Ag NPs. The prepared hydrogel may have potential applications in the fabrication of biomedical materials, such as antibacterial dressings.

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EVALUATION OF DUCTILE FRACTURE CRITERIA IN A GENERAL THREE-DIMENSIONAL STRESS STATE CONSIDERING THE STRESS TRIAXIALITY AND THE LODE PARAMETER

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Acta Mechanica Solida Sinica 2013年第6期26卷 642-658页

作者： Yanshan lou Hoon Huh School of Mechanical Aerospace and Systems EngineeringKAIST335GwahangnoDaeduk Science TownDaejeon305-701South Korea

This paper is concerned with evaluation of various ductile fracture criteria in a general three-dimensional stress state of stress triaxiality, the Lode parameter and the equiva- lent plastic strain to fracture. Evaluation is carried out by comparing fracture loci constructed by fracture criteria to experimental results of A12024-T351. Comparison demonstrates that the Modified Mohr-Coulomb criterion and a newly proposed criterion provide sufficient predictabil- ity of fracture strain. Moreover, evaluation is emphasized on the predicted cut-off value for stress triaxiality. The evaluation demonstrates that the Cockcroft-Latham, Brozzo, Oh, Ko-Huh and the new criteria coupled a reasonable cut-off value for ductile materials.

关键词： fracture alloys ductile material fracture locus metal forming

Directional Solidification Assisted by Liquid Metal Cooling

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Journal of Materials Science & Technology 2007年第3期23卷 289-300页

作者： Jian ZHANG Langhong lou Superalloys Division Institute of Metal Research Chinese Academy of Sciences Shenyang 110016 China

An overview of the development and current status of the directional solidification process assisted by liquid metal cooling （LMC） has been presented in this paper. The driving force of the rapid development of the LMC process has been analyzed by considering the demands of （1） newer technologies that can provide higher thermal gradients for alleviated segregation in advanced alloy systems, and （2） better production yield of the large directionally solidified superalloy components. The brief history of the industrialization of the LMC process has been reviewed, followed by the discussion on the LMC parameters including selection of the cooling media, using of the dynamic baffle, and the influence of withdrawal rates and so on. The microstructure and mechanical properties of the traditional superalloys processed by LMC, as well as the new alloys particularly developed for LMC process were then described. Finally, future aspects concerning the LMC process have been summarized.

关键词： Directional solidification Liquid metal cooling Superalloys Microstructure Mechanical properties

Design of control sequence of pulses for the population transfer of high dimensional spin 1/2 quantum systems

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Journal of Systems Engineering and Electronics 2008年第6期19卷 1226-1234页

作者： Cong Shuang lou Yuesheng Dept. of Automation Univ. of Science and Technology of China Hefei 230027 P. R. China

On the basis of the relationship between the Hamiltonian of spin 1/2 quantum system under control and the energy level structure and transitions, a radio frequency pulse sequence is designed using intuitive and half counter-intuitive sequences of pulse to transfer the population of the 3-qubit system coherently. The effectiveness of the designed control sequence is verified through the system simulation experiment of the evolution of state. In principle, the design method of the control pulse sequence proposed can be generalized to use in the quantum systems of higher dimension.

关键词： quantum system control population transfer pulse sequence design intuitive sequence half counter-intuitive sequence