2000年, 第13卷, 第4期　刊出日期：2000-10-15

  

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  UMVUE OF POLYNOMIALS OF (EX)~(-1) FOR SEVERAL NATURAL EXPONENTIAL FAMILIES ON THE POSITIVE LINE

  Hong Jian CHEN

  Journal of Systems Science and Complexity. 2000, 13(4): 337-343.

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  In this paper, we obtain the UMVUE gn(1) of a polynomial of 1/m, say g(1/m), for several NEFs on [0, +∞), where m = E(X) and gn(1) is a polynomial of 1 with the same degree as g(1/m). These estimators are asymptotically normal and asymptotically efficient.The NEFs are the Gama,the Inverse Gaussian and the Ressel as well as the Abel families.
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  PORTFOLIO SELECTION THEORY WITH STRICTLY POSITIVE SUPPLY OF RISKLESS ASSET

  Shun Ming ZHANG

  Journal of Systems Science and Complexity. 2000, 13(4): 344-357.

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  This paper considers the portfolio selection theory with strictly positive supply of riskless asset. The portfolio selection problem is described as a quadratic program, then this problem is solved by the Kuhn-Tucker condition and the method of artficial variable.
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  THE SPECTRAL COMPLETION OF A CLASS OF OPERATOR PARTIAL MATRICES

  Jian Lian CUI;Jin Chuan HOU;Ming Chu GAO

  Journal of Systems Science and Complexity. 2000, 13(4): 358-365.

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  A sufficient and necessary condition is given for the operator partial matrix () to have a completion T = () such that σ(T) Ω with X and Y being compact operators, where Ω is a given open set containing zero in the complex plane with every component being simply connected.
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  ANALYSIS OF TWO-MACHINE CONWIP SYSTEM:MATRIX GEOMETRIC SOLUTION

  Bin LIU;De Quan YUE;Jin Hua CAO;Huan Qiu WAnG

  Journal of Systems Science and Complexity. 2000, 13(4): 366-375.

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  In this paper we consider a two-machine CONWIP system. Firstly, we mathematically model the system as a QBD process. By using the matrix geometric solution technique, we obtain the equilibrium conditions of the system. Next, we derive the stationary probabiliy distribution of the process.Fally,we give some importance measures of the system.
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  BOUNDARY STABILIZATION OF TIMOSHENKO BEAM

  Qing Xu YAN

  Journal of Systems Science and Complexity. 2000, 13(4): 376-384.

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  In this paper, the stabilization problem of Timoshenko beam by some nonlinear boundary feedback controls is considered. By virtue of nonlinear semigroup theory and energy-perturbed method, it is shown that the vibration of the beam under the proposed control action decays exponentially or in negative power of time t as t$$\longrightarrow\infty.$$
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  A CLASS OF GENERALIZED MULTIPROCESSOR SCHEDULING PROBLEMS

  Xiao Guang YANG

  Journal of Systems Science and Complexity. 2000, 13(4): 385-390.

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  The paper discusses a class of generalized multiprocessor scheduling problems which is to arrange some independent jobs on almost identical processors. Different from the classical multiprocessor scheduling, each job may only be processed by some processors,not all.
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  NOTICE ON ADDED-FACTOR OF MULTIVARIATE GOULD-HSU INVERSION

  Xin Rong MA

  Journal of Systems Science and Complexity. 2000, 13(4): 391-396.

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  With the aid of the weight function of an r×r matrix associated with the symmetric group Sr of degree r, we obtain a direct method to determinate the addedfactor of multivariate Gould-Hsu inversion. Furthermore. the q-analogue of this formula can also be derived by the same argument.
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  ON THE CONVERGENCE OF SAMPLING ALGORITHMS FOR SOWING DYNAMIC STOCHASTIC PROGRAMMING

  Zhi Ping CHEN

  Journal of Systems Science and Complexity. 2000, 13(4): 397-406.

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  After describing a general sampling discretization algorithm for multistage continuous stochastic programming problems, we prove the global convergence of the al- gorithm under suitable conditions. The convergence of most available algorithms as a special case of this general result.
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  CONVERGENCE PROPERTIES OF PROJECTED GRADIENT METHODS WITH NONMONOTONIC BACK TRACKING TECHNIQUE FOR CONVEX CONSTRAINED OPTIMIZATION

  De Tong ZHU

  Journal of Systems Science and Complexity. 2000, 13(4): 407-424.

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  This paper proposes projected gradient algorithms in association with using both trust region and line search techniques for convex constrained optimization problems. The mixed strategy is adopted which switches to back tracking steps when a trial projected gradient step produced by the trust region subproblem is unacceptable.
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  THE NORMALITY OF CAYLEY GRAPHS OF FINITE ABELIAN GROUPS WITH VALENCY 5

  Young-Gheel Baik;Yan Quan FENG;Hyo-Seob Sim

  Journal of Systems Science and Complexity. 2000, 13(4): 425-431.

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  We call a Cayley digraph X = Cay(G, S) normal for G if the right regular representation of G is normal in the full automorphism group Ant(X) of X. In this paper, we give a classification of all nonnormal Cayley graphs of finite abelian groups with valency 5.
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  CYCLES CONTAINING MANY VERTICES OF SUBSETS IN GRAPHS WITH LARGE DEGREE SUMS AND NEIGHBORHOOD UNIONS

  Jian Ping LI

  Journal of Systems Science and Complexity. 2000, 13(4): 432-445.

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  Let G be a graph of order n and X V(G). G is called X-cyclable if G has an X-cycle, i.e., a cycle containing all vertices of X. Define the parameters a(X) = max{|S| S is an independent vertex set in G[X] induced by X}, σk(X) = min{∑ki=1dG(x.i|{x1,x2,…x3}is an independent vertex set in G[X]}.