2003年, 第16卷, 第2期　刊出日期：2003-04-15

  

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  COMPLEX ECO-ECONOMY SYSTEM

  PawelBartoszczuk;Yoshiteru Nakamori

  Journal of Systems Science and Complexity. 2003, 16(2): 145-158.

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  In the past there were a lot of researches on the topic of economic growth. Nevertheless, the environment has been a. hit abstracted by standard economics. Scarce natural resources and our choices to protect them or exploit them jointly determine the economic and environmental systems. In this paper we describe a model with a particular focus on the relationship among income, pollution, and non-renewable resources. We want to combine both economic and environmental sectors. The system dynamics approach is used in analyzing these complex relationships. This paper gives an insight, into the possibilities for replacing non-renewable resources with more renewable ones. Next, we present the simulation runs of the model that are conducted with the help of existing system dynamics modeling tools. Only the relationships simulated so far between the variables ought to lie put under yet more cautious examination.
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  ON A UNIVERSAL CHAOTIFICATION SCHEME IN THE SENSE OF LI-YORKE

  Chang Pin LI;Guang Rong CHEN

  Journal of Systems Science and Complexity. 2003, 16(2): 159-164.

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  This paper studies the problem of making an arbitrary discrete system chaotic, or enhancing its existing chaotic behaviors, by designing a universal controller. The only assumption is that the arbitrarily given system has a bounded first derivative in a (small) region of interest.
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  AN EMPIRICAL ANALYSIS OF SAMPLING INTERVAL FOR EXCHANGE RATE FORECASTING WITH NEURAL NETWORKS

  Wei HUANG;K.K.Lai;Nakamori Y;Shou Yang WANG

  Journal of Systems Science and Complexity. 2003, 16(2): 165-176.

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  Artificial neural networks (ANNs) have been widely used as a promising alternative approach for forecast task because of their several distinguishing features. In this paper, we investigate the effect of different sampling intervals on predictive performance of ANNs in forecasting exchange rate time series. It is shown that selection of an appropriate sampling interval would permit the neural network to model adequately the financial time series. Too short or too long a sampling interval does not provide good forecasting accuracy. In addition, we discuss the effect of forecasting horizons and input nodes on the prediction performance of neural networks.
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  AVAILABILITY ANALYSIS OF THE QUEUEING SYSTEM GI/PH/I WITH SERVER BREAKDOWNS

  Xue Ming YUAN;Wei LI

  Journal of Systems Science and Complexity. 2003, 16(2): 177-183.

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  In the existing literature of Repairable Queueing Systems (RQS), i.e., queueirig systems with server breakdowns, it is almost all assumed that interarrival times of successive customers are independent, identically exponentially distributed. In this paper, we deal with more generic system GI/PH/1 with server's exponential uptime and phase-type repair time. With matrix analysis theory, we establish the equilibrium condition and the characteristics of the system, derive the transient and stationary availability behavior of the system.
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  ANALYSIS OF A PRODUCTION-INVENTORY MODEL WITH ERLANGIAN DEMAND ARRIVAL PROCESS

  Jin Ting WANG;Jin Hua CAO;Bin LIU

  Journal of Systems Science and Complexity. 2003, 16(2): 184-190.

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  In the existing literature of Repairable Queueing Systems (RQS), i.e., queueirig systems with server breakdowns, it is almost all assumed that interarrival times of successive customers are independent, identically exponentially distributed. In this paper, we deal with more generic system GI/PH/1 with server's exponential uptime and phase-type repair time. With matrix analysis theory, we establish the equilibrium condition and the characteristics of the system, derive the transient and stationary availability behavior of the system.
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  LIFE DISTRIBUTION OF SERIES UNDER THE SUCCESSIVE DAMAGE MODEL

  Dong Qian WANG;C.D.Lai;Guo Ying LI

  Journal of Systems Science and Complexity. 2003, 16(2): 191-194.

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  We analyse further the reliability behaviour of series and parallel systems in the successive damage model initiated by Downton. The results are compared with those obtained for other models with different bivariate distributions.
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  IS γα≤δ FOR GRAPHS WHICH HAVE DIAMETER TWO?

  Yao Jun CHEN;Yun Qing ZHANG;Ke Min ZHANG

  Journal of Systems Science and Complexity. 2003, 16(2): 195-198.

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  We analyse further the reliability behaviour of series and parallel systems in the successive damage model initiated by Downton, The results are compared with those obtained for other models with different bivariate distributions.
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  A SECOND ORDER DIFFERENCE SCHEME WITH NONUNIFORM MESHES FOR NONLINEAR PARABOLIC SYSTEM

  Zheng Su WAN;Guang Nan CHEN

  Journal of Systems Science and Complexity. 2003, 16(2): 199-208.

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  In this paper, a difference scheme with nonuniform meshes is established for the initial-boundary problem of the nonlinear parabolic system. It is proved that the difference scheme is second order convergent in spacestep and timestep.
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  AUTOMRPPHISM GROUP OF LIE ALGEBRA C(t)d/dt

  Hong DU

  Journal of Systems Science and Complexity. 2003, 16(2): 209-212.

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  The Lie algebra of derivations of rational function field C(t) is C(t)t/dt. The automorphism group of C(t) is well known as to be isomorphic to the projective linear group PGL(2, C). In this short note we prove that every automorphism of C(t) d/dt can be induced in a natural way from an automorphism of C(t).
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  A CLASS OF REVISED BROYDEN ALGORITHMS

  Ding Guo PU;Wei Wen TIAN

  Journal of Systems Science and Complexity. 2003, 16(2): 213-221.

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  In this paper, we discuss the convergence of the Broyden algorithms wilh revised search direction. Under some inexact line searches, we prove that the algorithms are globally convergent for continuously differentiable functions and the rate of convergence of the algorithms is one-step superlinear and ra-step second-order for uniformly convex objective functions.
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  A NEW CHARACTERIZATION OF NBU CLASS OF LIFE DISTRIBUTIONS WITH APPLICATION

  Xiao Hu LI

  Journal of Systems Science and Complexity. 2003, 16(2): 222-228.

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  Assume an unreliable workstation performing jobs with a random service time, namely, it occasionally breaks down because of unexpected interruptions. As an interruption really occurs, the station is instantaneously repaired and the uncompleted job is restarted again from the beginning till a job is completed without being interrupted. The total service time is shown to be NBU if and only if the total time it takes to finish each job with interruptions is stochastically larger than that without them, irrespective of when and how the breakdowns occur. As an application, a nonparametric procedure is developed to test for the strict NBU property of the service time. Finally, some numerical simulations are presented as well.
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  ON THE NUMBER OF FIXED POINTS OF NONLINEAR OPERATORS AND APPLICATIONS

  Jing Xian SUN;Ke Mei ZHANG

  Journal of Systems Science and Complexity. 2003, 16(2): 229-235.

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  In this paper, the famous Amann three-solution theorem is generalized. Multiplicity question of fixed points for nonlinear operators via two coupled parallel sub-super solutions is studied. Under suitable conditions, the existence of at least six distinct fixed points of nonlinear operators is proved. The theoretical results are then applied to nonlinear system of Hammerstein integral equations.
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  FINITE DIMENSIONAL BEHAVIOR FOR THE DISSIPATIVE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATIONS

  Ya Dong SHANG;Bo Ling GUO

  Journal of Systems Science and Complexity. 2003, 16(2): 236-248.

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  This paper deals with the asymptotic behaviour of solutions for the generalized symmetric regularized long wave equations with dissipation term. We first show the existence of global weak attractors for the periodic initial value problem of this equations in H~2 * H~1. And then by an energy equation and an idea of Ghidaglia and Quo, we conclude that the global weak attractor is actually the global strong attractor for S(t) in H_2(Ω) * H~1(Ω).The finite dimensionality of the global attractor is also established.
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  MODEL SELECTION FOR LOG-LINEAR MODELS OF CONTINGENCY TABLES

  Lin Cheng ZHAO;Hong ZHANG

  Journal of Systems Science and Complexity. 2003, 16(2): 249-259.

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  In this paper, we propose an informRtioti-theore-tic-eriterion-bHsed model selection procedure for log-linear model of contingency tables under multinomial sampling, and establish the strong consistency of the method under some mild conditions. An exponential bound of miss detection probability is also obtained. The selection procedure is modified so I hat it can be used in practice. Simulation shows that the modified method is valid. To avoid selecting the penalty coefficient in the information criteria, an alternative selection procedure is given.
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  ON APPROXIMATION OF MAX n/2-UNCUT PROBLEM

  Da Chan XU

  Journal of Systems Science and Complexity. 2003, 16(2): 260-267.

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  Using outward rotations, we obtain an approximation algorithm for MAX T7-UXCUT problem, i.e., partitioning the vertices of a weighted graph into two blocks of equal cardinality such that the total weight of edges that do not cross I he eiil is maximized. In many interesting cases, the algorithm performs belter than the algorithm of Ye and of Halperin and Zwick. The main tool used to obtain this result is seniidelinitc programming.
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  THEORETICAL AND NUMERICAL COMPARISON ON DOUBLE-PROJECTION METHODS FOR VARIATIONAL INEQUALITIES

  Yi Ju WANG;Wen Yu SUN

  Journal of Systems Science and Complexity. 2003, 16(2): 268-274.

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  Recently, double projection methods for solving variational inequalities have received much attention due to their fewer projection times at each iteration. In this paper, we unify these double projection methods within two unified frameworks, which contain the existing double projection methods as special cases. On the basis of this unification, theoretical and numerical comparison between these double projection methods is presented.
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  ON AN SIS EPIDEMIC MODEL WITH STAGE STRUCTURE

  Yan Ni XIAO;Lan Sun CHEN

  Journal of Systems Science and Complexity. 2003, 16(2): 275-288.

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  A SIS infectious disease model with stage structure consisting of immature and mature stages is proposed using a discrete time delay. The aim of the paper is to investigate under which conditions the disease becomes endemic or not and to find the difference between the model with stage structure and the corresponding model without stage structure. It is shown that either there exists a unique endemic equilibrium point which is globally asymptotically stable or the disease dies out by using an iterative scheme. The effect of the time delay on the populations at equilibria is considered.