1999年, 第12卷, 第3期　刊出日期：1999-07-15

  

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  A GNERAL BIJECTIVE ALGORITHM FOR INCREASING TREES

  William Y.C.CHEN

  Journal of Systems Science and Complexity. 1999, 12(3): 193-203.

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  The main concern of this paper is with a bijective approach to various classes ofincreasing trees. We discover an increasing tree counterpart of the decomposition algorithmfor Schroder trees. This bijection has probably reached its full generality for decomposing increasing trees.
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  A MAXIMUM ENTROPY METHOD FOR CONSTRAINED SEMI-INFINITE PROGRAMMING PROBLEMS

  Guang Lu ZHOU;Chang Yu WANG;Zhen Jun SHI

  Journal of Systems Science and Complexity. 1999, 12(3): 204-209.

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  This paper presents a new method, called the maximum entropy method,for solving semi-infinite programming problems, in which the semi-infinite programmingproblem is approximated by one with a single constraint. The convergence properties for this method are discussed.Numerical examples are given to show the high effciency of the algorithm.
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  AN ALGORITHM FOR CONTINUOUS TYPE OPTIMAL SPHERICAL FACILITY LOCATION PROBLEM

  Li Ping ZHANG;Chang Yu WANG

  Journal of Systems Science and Complexity. 1999, 12(3): 210-215.

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  In this paper, we study the continuously spherical facility location problem.(P) min f(X) = We prove a hull property and optimality condition of the problem (P), and propose analgorithm to solve (P). Global convergence is proved.
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  A HYBRID METHOD FOR LINEAR PROGRAMMING

  Nai Hua XIU;Fang WU

  Journal of Systems Science and Complexity. 1999, 12(3): 216-221.

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  In this paper, a hybrid method for linear programming is established. Itssearch direction is defined as a combination of two directions in simplex method and affinescaling interior point method. The method is Proven to have some promising convergence properties.The relation among the new method,the simplex method and the affine-scaling interior point method is discussed.
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  OVERLOAD ANALYSIS OF MARKOVIAN MODELS

  Yiqiang Q.ZHAO

  Journal of Systems Science and Complexity. 1999, 12(3): 222-230.

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  A new procedure for computing stationary probabilities for an overloadedMarkovian model is proposed in terms of the rotated Markov chain. There are two advantages to use this procedure: i) This procedure allows us to approximate an overloaded finite model by using a stable infinte Markov chain.
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  TREE DECOMPOSITIONS OF MULTIGRAPHS

  Min Yong SHI

  Journal of Systems Science and Complexity. 1999, 12(3): 231-237.

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  For a graph G, if E(G) can be partitioned into several pairwise disjoint sets as{E1 , E2,...,El } such that the subgraph induced by Ei is a tree of order ki ) (i = 1, 2,... , l),then G is said to have a {k1, k2, ..., kl }-tree-decomposition.
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  THE SELF-STABLE REGION APPROACH FOR SECOND ORDER SYSTEMS

  Yi HUANF;Jing Qing HAN

  Journal of Systems Science and Complexity. 1999, 12(3): 238-245.

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  In this paper, an inherent property that second order systems, which can bestable, have the Self-Stable Regions (SSRs) is proposed. Based on this property, a newsynthesis method-the Self--Stable Region approach is suggested for a class of second-order nonlinear uncertain systems.
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  HEAVY RANDOM CENSORING LIMIT THEOREMS

  Shu Yuan HE

  Journal of Systems Science and Complexity. 1999, 12(3): 246-250.

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  In this paper, we present some limit distribution theorems for Kaplan-Meierestimator in a randomly heavy censoring model.
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  THE ASYMPTOTICS OF THE INTEGRATEDSQUARE ERROR FOR THE KERNEL HAZARD RATEESTIMATORS WITH LEFT TRENCATED ANDRIGHT CENSORED DATA

  Liu Quan SUN;Zhong Guo ZHANG

  Journal of Systems Science and Complexity. 1999, 12(3): 251-262.

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  A central limit theorem for the integrated square error (ISE) of the kernelhazard rate estimators is obtained based on left truncated and right censored data. Anasymptotic representation of the mean integrated square error (MISE) for the kernel hazard rate estimators is also presented.
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  SOLITON AND ELLIPTICAL PERIODIC SOLUTIONS TO THE MODIFIED NONLINEAR SCHRODINGER EQUATION

  XI Qiang LIU

  Journal of Systems Science and Complexity. 1999, 12(3): 263-269.

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  In this note, we have obtained the soliton and periodic solutions to the modifiednonlinear Schrodinger equation (MNLSE) and analysed the features of the soliton solutions.In particular, we point out that the nonlinear Schrodinger equation (NLSE) also has the dark soliton in the negative second-order dispersion region(g=1)
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  A NOTE ON THE EQUICONTINUITY IN SOME TOPOLOGICAL GROUPS

  Guang Gui DING

  Journal of Systems Science and Complexity. 1999, 12(3): 270-272.

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  In this paper, we show that a theorem concerning the equicontinuity of theoperators in F-spaces can be generalized to a class of operators defined on the binaryfissionable topological groups.
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  INFLUENCE ANALYSIS IN CATEGORICAL DATA

  Jian Cheng JIANG

  Journal of Systems Science and Complexity. 1999, 12(3): 273-280.

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  This paper gives the local influence diagnostics for parametric multinomialdistribution, especially contingency tables. Basing on the iterative weighted least squaresprocedure, we obtain the M.L.E. of the parameters and the modified Cook's distance.
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  SOME QUALITATIVE PROPERTIES OF SOLUTIONSTO A SECOND-ORDER NONLINEAR BOUNDARY VALUE PROBLEM ON[0,+∞)

  Ling Bin KONG;Jun Yu WANG

  Journal of Systems Science and Complexity. 1999, 12(3): 281-288.

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  The authors explore some qualitative properties of solutions to a second-ordernonlinear boundary value problem on , which arises in the search of similaritysolutions for a power-law fluid or a generalized diffusion process.