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Asymptotic behavior of the divergence on loop spaces over a compact Riemannian manifold

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chinese Science Bulletin 1998年第4期43卷 272-274页

作者： li Xiangdong Probability Laboratory, institute of applied mathematics, chinese academy of sciences, beijing 100080, china Probability Laboratory Institute of Applied Mathematics Chinese Academy of Sciences Beijing China

The asymptotic behavior of the divergence on loop space is studied over a compact Riemannian manifold via quasi_sure analysis. A Sobolev estimate plays a crucial role.

关键词： divergence exponential integrability Sobolev estimate.

An SGS Model and Its Application

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Communications in Nonlinear Science and Numerical Simulation 1999年第2期4卷 87-90页

作者： Zhengtong XIE Jiachun li (institute of Mechanics, chinese academy of sciences, beijing 100080, china) institute of Mechanics Chinese Academy of Sciences Beijing 100080 China

Based on the turbulent energy and structure function model, a subgridstress model named transitional structure function (TSF) is proposed, which exhibitsmore satisfactory performance than the previous one when applied in turbulent flow withinand above forest *** time and horizontal averaged statistics such as mean verticalprofiles of wind velocity, Reynolds stress, turbulent kinetic energy etc., and instantaneousfields as well are in general agreement with earlier observations, at least in a qualitativesense.

关键词： Large-Eddy simulation SGS model turbulent flow canopy

Minimal Martingale Measures for Discrete-time Incomplete Financial Markets

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Acta Mathematicae Applicatae Sinica 2002年第2期18卷 349-352页

作者： Ping li, Jian-ming Xiainstitute of System sciences, academy of mathematics and System sciences, chinese academy of sciences, beijing 100080, chinainstitute of applied mathematics, academy of mathematics and System sciences, chinese academy of sciences, beijing 100080, china institute of System sciences Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China institute of applied mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China

In this note, we give a characterization of the minimal martingale measure for a general discrete-time incomplete financial market. Then we concretely work out the minimal martingale measure for a specific discrete-ti... 详细信息

关键词： Minimal martingale measures incomplete financial markets

The proof of FFD(L)≤11/9OPT(L) +7/9

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chinese Science Bulletin 1997年第15期42卷 1262-1265页

作者： li Rongheng, YUE Minyi1. Department of mathematics, Hunan Normal University, Changsha 410081, china 2. institute of applied mathematics, chinese academy of sciences, beijing 100080, china Department of mathematics Hunan Normal University Changsha 410081 China institute of applied mathematics Chinese Academy of Sciences Beijing 100080 China

THE one-dimensional bin-packing problem is defined as follows: for a given list L={p1, p2,…, Pn}, where 0i≤1 denotes the item and its size as well, we are to pack all the items in-to bins, each of which has a capacity 1, and the goal is to minimize the number of bins *** first-fit-decreasing （FFD） algorithm is a famous approximate algorithm for the bin-pack-ing problem. The FFD algorithm first sorts all the list into non-increasing order and then pro-cesses the pieces in that order by placing each item into the first bin into which it fits.

关键词： bin-packing minimal counter-example weigtht-function FFD-algorithm.

Bifurcation and Chaos in a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation

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Acta Mathematicae Applicatae Sinica 2002年第3期18卷 501-512页

作者： Wei li, Peng-cheng Xuinstitute of mathematics, beijing University of Chemical Technology, beijing 100029, chinainstitute of applied mathematics, academy of mathematics and System sciences, chinese academy of sciences, beijing 100080, china institute of mathematics Beijing University of Chemical Technology Beijing China institute of applied mathematics Academy of Mathematics and System Sciences Chinese Academy of Science Beijing China

In this paper the dynamics of a weakly nonlinear system subjected to combined parametric and external excitation are discussed. The existence of transversal homoclinic orbits resulting in chaotic dynamics and bifurcation are established by using the averaging method and Melnikov method. Numerical simulations are also provided to demonstrate the theoretical analysis.

关键词： Bifurcation chaos transversal homoclinic orbit

A class of additive-accelerated means regression models for recurrent event data

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Science china mathematics 2010年第12期53卷 3139-3151页

作者： liU li 1, MU XiaoYun 2 & SUN liuQuan 2 1 School of mathematics and Statistics, Wuhan University, Wuhan 430072, china 2 institute of applied mathematics, academy of mathematics and Systems Science, chinese academy of sciences, beijing 100080, china School of mathematics and Statistics Wuhan University institute of applied mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences

In this article, we propose a class of additive-accelerated means regression models for analyzing recurrent event data. The class includes the proportional means model, the additive rates model, the accelerated failure time model, the accelerated rates model and the additive-accelerated rate model as special cases. The new model offers great flexibility in formulating the effects of covariates on the mean functions of counting processes while leaving the stochastic structure completely unspecified. For the inference on the model parameters, estimating equation approaches are derived and asymptotic properties of the proposed estimators are established. In addition, a technique is provided for model checking. The finite-sample behavior of the proposed methods is examined through Monte Carlo simulation studies, and an application to a bladder cancer study is illustrated.

关键词： additive-accelerated means model counting process marginal model model checking recurrent events

Some Performance Measures of Transfer line Consisting of Two Unreliable Machines with Reprocess Rule

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Systems Science and Systems Engineering 1998年第3期8卷 27-36页

作者： li Wei CAO Jinhua institute of applied mathematics, chinese academy of sciences,beijing 100080

In this paper, we consider a transfer line with two unreliable machines and a single storage buffer, in which the second machine’s processing time and repair time have general distributions, and a piece processed by machine i will be reprocessed with probability q i (i=1, 2) because of uncompletely or not very well processed just before. At first, the exactly results of the reprocessed rate, the output rate and the blocked probability of machine 1, the reprocessed rate and the starved probability of machine 2, and the production rate of the system, are obtained when the first machine is reliable. And then, some approximating results of above indices are given when two machines are both unreliable.

关键词： transfer line reprocess rule blocked probability production rate.

On Size of Unicycle Hypergraphs

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Systems Science and Systems Engineering 2000年第2期10卷 245-250页

作者： li Hai\|zhu,\ WANG Jian\|fang institute of applied mathematics, chinese academy of sciences, beijing 100080, china

Cyclic hypergraphs are the analogue of cyclic graphs. The unicycle hypergraph whose cyclomatic number equals to one is the most elemental cyclic hypergraph. In this paper the maximum size of unicycle hypergraphs is s... 详细信息

关键词： hypergraph unicycle hypergraph maximum size

A COMPREHENSIVE DEA APPROACH FOR THE RESOURCE ALLOCATION PROBLEM BASED ON SCALE ECONOMIES CLASSIFICATION

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Journal of Systems Science & Complexity 2008年第4期21卷 540-557页

作者： Xiaoya li Jinchuan CUI institute of applied mathematics Academy of Mathematics and Systems Science Chinese Academy of Sciences Beijing 100190 China.

This paper is concerned with the resource allocation problem based on data envelopment analysis （DEA） which is generally found in practice such as in public services and in production process. In management context, the resource allocation has to achieve the effective-efficient-equality aim and tries to balance the different desires of two management layers： central manager and each sector. In mathematical programming context, to solve the resource allocation asks for introducing many optimization techniques such as multiple-objective programming and goal programming. We construct an algorithm framework by using comprehensive DEA tools including CCR, BCC models, inverse DEA model, the most compromising common weights analysis model, and extra resource allocation algorithm. Returns to scale characteristic is put major place for analyzing DMUs＇ scale economies and used to select DMU candidates before resource allocation. By combining extra resource allocation algorithm with scale economies target, we propose a resource allocation solution, which can achieve the effective-efficient-equality target and also provide information for future resource allocation. Many numerical examples are discussed in this paper, which also verify our work.

关键词： Common weights analysis (CWA) date envelopment analysis (DEA) decision making unit (DMU) efficiency score inverse DEA model multiple-objective linear programming (MOLP) resource allocation problem returns to scale (RTS).