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One-step quadratic convergence of noninterior continuation method for NCP

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Chinese Science Bulletin 1999年第20期44卷 1858-1862页

作者： XIU NaihuaDepartment of Mathematics , northern jiaotong university , beijing 100044,{{2. Department of Mathematics Northern Jiaotong University Beijing China

A noninterior continuation method is presented, with only the certering step used at each iteration, for nonlinear complementarity problem. It is shown that the algorithm is globally linearly and locally quadratically... 详细信息

关键词： nonlinear complementarity problem noninterior continuation method one-step quadratic convergence.

The Existence of BIB Designs

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Acta Mathematica Sinica,English Series 2000年第1期16卷 103-112页

作者： Yanxun Chang Institute of Mathematics,northern jiaotong {{2.,beijing 100044,P.R.china Institute of Mathematics Northern Jiaotong University Beijing 100044 P.R. China

Given any positive integers k3 and λ,let c（k,λ）denote the smallest integer such that u ∈ B（k,λ）for every integer uc（k,λ）that satisfies the congruences λv（v-1）≡0（mod k（k-1））and λ（u-1）≡0（mod k-1）.In this article we make an improvement on the bound of c（k,λ）provided by Chang in[4]and prove that c（k,λ）exp{k3k6}.In particular,c（k,1）exp{kk2./sup>}.

关键词： Wilson’s theorem Balanced incomplete block design PBD-closed

Contact position controlling for two-dimensional motion bodies by the boundary element method

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Journal of university of Science and Technology beijing 2002年第2期9卷 138-141页

作者： Junping Pu and Yuanfeng Wang School of Civil Engineering and Architecture, northern jiaotong university, beijing 100044,{{2. School of Civil Engineering and Architecture Northern Jiaotong University Beijing 100044 China

An algorithm is presented for controlling two-dimensional motion contact bodies with conforming discretization. Since a kind of special boundary element is utilized in the algorithm, the displacement compatibility and traction equilibrium conditions at nodes can be satisfied simultaneously in arbitrary locations of the contact interface. In addition, a method is also proposed in which the contact boundary location can be moved flexibly on the possible contact boundary. This method is effective to deal with moving and rolling contact problems on a possible larger moving or rolling contact region. Numerical examples show effectiveness of the presented scheme.

关键词： boundary element method contact move roll

CRITERION FOR JUDGING SATISFACTION OF CONSISTENCY CONDITIONS IN RATE-DEPENDENT CONSTITUTIVE RELATIONS

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Acta Mechanica Solida Sinica 1999年第4期12卷 356-364页

作者： Wang Zhe (College of Civil Engineering and Architecture,northern jiaotong {{2.,beijing 100044,china) Coll. of Civ. Eng. and Architecture Northern Jiaotong University Beijing 100044 China

Based on irreversible thermodynamics, the criterion for judging the satisfaction of consistency conditions in rate-dependent constitutive relationship is deduced by introducing four basic hypotheses. Formulas for solving internal variables are given. It makes the rate-dependent model applicable no matter whether the consistency conditions can be satisfied or not.

关键词： rate-dependent constitutive relations consistency condition irreversible thermodynamics

A new class of variational equation problems

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Progress in Natural Science:Materials International 2003年第2期13卷 71-73页

作者： LIU Kunhui(College of Science, northern jiaotong university, beijing 100044,{{2.) No jiaotong Univ Coll Sci Beijing 100044 Peoples R China

Abstract Applying an analysis method to a group of multivariable equations, a new class of variational equations are proved. Thismethod is more concise and more direct than the others. This result can be applied to so... 详细信息

关键词： variational equation solution stochastic control.

Reliability analysis of M/G/1 queues with general retrial times and server breakdowns

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Progress in Natural Science:Materials International 2006年第5期16卷 464-473页

作者： WANG Jinting (Department of Mathematics, beijing jiaotong {{2., beijing 100044, china) Department of Mathematics Beijing Jiaotong University Beijing 100044 China

This paper concerns the reliability issues as well as queueing analysis of M/G/1 retrial queues with general retrial times and server subject to breakdowns and repairs. We assume that the server is unreliable and customers who find the server busy or down are queued in the retrial orbit in accordance with a first-come-first-served discipline. Only the customer at the head of the orbit queue is allowed for access to the server. The necessary and sufficient condition for the system to be stable is given. Using a supplementary variable method, we obtain the Laplace-Stieltjes transform of the reliability function of the server and a steady state solution for both queueing and reliability measures of interest. Some main reliability indexes, such as the availability, failure frequency, and the reliability function of the server, are obtained.

关键词： retrial queues general retrial times reliability server breakdowns and repairs.

Stability Test for 2.D Continuous-Discrete Systems

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Journal of Systems Engineering and Electronics 2002年第2期13卷 22-27页

作者： Xiao YangInstitute of Information Science, northern jiaotong university, beijing 100044, P.R.{{2.(Received July {2., {2.01) Institute of Information Science Northern Jiaotong University Beijing 100044 P. R. China

Models of 2.D continuous-discree system are introduced, which can be used to describe some complex systems. Different from classical 2.D continuous systems of 2.D discrete systems, the asymptotic stability of the continuous-discrete systems is determined by Hurwitz-Schur stability (hybrid one) of 2.D characteristic polynomials of the systems. An algebraic algorithm with simpler test procedure for Hurwitz-Schur stability test of 2.D polynomials is developed. An example to illustrate the applications of the test approach is provided.

关键词： Asymptotic stability Polynomials Two dimensional

Complete Formulas for the Volumes of Tubes about Curves in a Riemannian Manifold

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Acta Mathematica Sinica,English Series 2001年第2期17卷 243-252页

作者： Fa En WU Department of Mathematics. northern jiaotong university. beijing 100044, P. R.{{2. Department of Mathematics Northern Jiaotong University Beijing 100044 P. R. China

By using the Taylor expansions of the solutions of Jacobi equations, we obtain the complete formulas for the volumes of tubes about curves in a Riemanuian manifold. This unifies the known results and simplifies the computations involved in this direction. In the special case of surfaces, we also obtain the corresponding complete formulas which generalize the known results.

关键词： Fermi coordinates N-Jacobi field Taylor expansion Volumes of tubes

TRANSPORTATION NETWORKS:OLD AND NEW

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Applied Mathematics(A Journal of Chinese Universities) 1996年第3期11卷 251-272页

作者： LIU YANPEI(Department of Mathematics,northern jiaotong {{2., beijing 100044) Department of Mathematics Northern Jiaotong University Beijing

This paper shows a number of Problems in pure and applied mathematicsthat are solved by constructing transportation ***,it also shows thatall the solutions are characterized by forbidden configurations which are not ***,all the characterizations are much related to the graphic method which wasfound by Chinese for solving a kind of the transportation problem in the fifties.

关键词： Mathematical programming,transportation problem,network graphic method forbidden configuration.