中国科学院数学与系统科学研究院期刊网

2010年, 第23卷, 第4期 刊出日期:2010-08-25
  

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  • Yong LI;Jinqing FANG;Qiang LIU
    Journal of Systems Science and Complexity. 2010, 23(4): 681-700. https://doi.org/10.1007/s11424-010-9166-6
    摘要 ( ) PDF全文 ( )   可视化   收藏
    Generalized Farey tree network (GFTN) and generalized Farey organized pyramid network (GFOPN) model are proposed, and their topological characteristics are studied by both theoretical analysis and numerical simulations, which are in good accordance with each other. Then weighted GFTN is studied using cumulative
    distributions of its Farey number value, edge weight, and node strength. These results maybe helpful for future theoretical development of hybrid models.
  • Xiaoshan LU;Jian LI;Fengmei YANG
    Journal of Systems Science and Complexity. 2010, 23(4): 701-714. https://doi.org/10.1007/s11424-010-9058-9
    摘要 ( ) PDF全文 ( )   可视化   收藏
    In this paper, a two-stage model is developed to investigate the location strategy
    and the commodity pricing strategy for a retail firm that wants to enter a spatial market with multiple competitive facilities, where a competitor firm is already operating as a monopoly with several outlets. Expected market shares are calculated based on the stochastic customer behavior on networks. The authors provide a sufficient condition for the existence of equilibrium prices in the price
    game for the first time. The existence and uniqueness of the pure strategy Nash equilibrium price with a specified utility function are proved in the subgame.
    A metaheuristic based on tabu search is proposed to search the optimal
    location-price solution of the model. In addition, the authors provide two numerical examples to illustrate how to obtain the optimal solution and conduct sensitivity analysis. The analysis shows that the best location decision is robust for the follower firm, price game is more intense when incomes of consumers are lower or there are more substitution products, and neither chain retail gains from the price competition.
  • Xiaoping WANG;Huan QI;Henghui XIAO;Xiaopan ZHANG;Yang HU;Xiaojian FENG
    Journal of Systems Science and Complexity. 2010, 23(4): 715-726. https://doi.org/10.1007/s11424-010-7195-9
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper provides a mathematical model for Three Gorges-Gezhou dam co-scheduling problem, based on full analysis of Three Gorges-Gezhou dam's actual needs, to maximize the total throughput of Three Gorges-Gezhou dam and the utilization ratio of shiplock area and minimize the total navigation shiplock waiting
    time under multiple constraints. This paper proposes a series queuing network (SQN) scheduling algorithm to divide the total ships that intend to pass through the shiplocks into four queues and calculate dynamically the weight of priority for each ship. The SQN scheduling algorithm schedules ships according to their priority
    weights which is determined by the characteristics of each ship, such as length, width, affiliation, waiting time, and so on. In the process, the operation conditions of Gezhou dam related to the navigable shiplocks and the task balancing among different shiplocks also should be considered. The SQN algorithm schedules ships
    circularly and optimizes the results step by step. Real operation data from our project shows that our SQN scheduling algorithm outperforms the traditional manual scheduling in which the less computational time is taken, the area utilization ratio of the five shiplocks is increased, the waiting time of high-prioritized ships is shorten, and a better balanced and alternating run-mode is provided for the three shiplocks in the Gezhou dam.
  • R. BHATTACHARYYA;Ashoke BERA;B. MUKHOPADHYAY
    Journal of Systems Science and Complexity. 2010, 23(4): 727-737. https://doi.org/10.1007/s11424-010-8190-x
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper studies a three tier ecological food chain model consisting of nutrient, autotroph, and herbivore populations. Regeneration of nutrient from dead autotroph and herbivore biomass by decomposers present in the soil is included. The time required for maturation of the herbivore population is incorporated as a
    distributed time delay. Next, the authors introduce the time lag required for regeneration of nutrient from the dead herbivore as a discrete time delay. Stability and bifurcation behavior of the one- and two-delay models are carried out and a comparative study of the significance of these delays in controlling the system
    dynamics is performed. Numerical simulations are done to justify analytical results.
  • Yu ZHANG;Jitao SUN
    Journal of Systems Science and Complexity. 2010, 23(4): 738-747. https://doi.org/10.1007/s11424-010-8039-3
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper investigates the stability of impulsive linear hybrid systems with time delay. And a number of delay-independent/delay-dependent stability criteria
    are obtained by using Lyapunov functions or Lyapunov functionals. Two examples are also presented to illustrate the effectiveness of the obtained results or to compare with the existing results.
  • Kangming ZHANG;Qigui YANG
    Journal of Systems Science and Complexity. 2010, 23(4): 748-758. https://doi.org/10.1007/s11424-010-8084-y
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper investigates the Hopf bifurcation of a 4-dimensional hyperchaotic system with only one equilibrium. A detailed set of conditions are derived, which guarantee the existence of the Hopf bifurcation. Furthermore, the standard normal form theory is applied to determine the direction and type of the Hopf bifurcation, and the approximate expressions of bifurcating periodic solutions and their periods. In addition, numerical simulations are used to justify theoretical results.
  • Zhengqiang ZHANG;Weisheng CHEN
    Journal of Systems Science and Complexity. 2010, 23(4): 759-768. https://doi.org/10.1007/s11424-010-8280-9
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper considers the problem of actuator failure compensation for a class of nonlinear systems in the form of output-feedback. MT-filters are exploited to estimate the unmeasured states. The backsteppping technique is used to
    construct the controller recursively. The proposed compensation scheme can grantee the boundedness of all the closed-loop signals and asymptotic output tracking. The theoretical results are illustrated by a simulation example.
  • Guohe DENG;Lihong HUANG
    Journal of Systems Science and Complexity. 2010, 23(4): 769-783. https://doi.org/10.1007/s11424-010-7205-y
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper generalizes European call options on the extremum of several risky assets in a Poisson-Gaussian model which allows both the risky assets and stochastic interest rates moving randomly with jump risks. The stochastic interest rate is assumed to follow an extended multi-factor HJM model with jumps. The authors provide explicitly the closed-form solutions of these options through the
    change of numeraire technique and examine the effects of both jump risks and stochastic interest rate on the option price with numerical experiment. The model can be seen as an extension of Stulz (1982), Johnson (1987) and Lindset (2006).
  • Junjian ZHANG;Guoying LI
    Journal of Systems Science and Complexity. 2010, 23(4): 784-795. https://doi.org/10.1007/s11424-010-8264-9
    摘要 ( ) PDF全文 ( )   可视化   收藏
    A family of integral-type goodness-of-fit tests is investigated. This family includes some existing tests, such as the Cram\'{e}r-von Mises test and Anderson-Darling test, etc. The asymptotic distributions of the tests in the family under the null
    and local alternative hypotheses are established. The almost sure
    convergence under a fixed underlying distribution is obtained. Furthermore, simulations are conducted to compare the powers of the tests in the family. Simulation results show that for different alternatives, the more powerful tests are different, and the parameter $\lambda$ has great influence on the tests in small
    sample cases.
  • Xueli WANG
    Journal of Systems Science and Complexity. 2010, 23(4): 796-803. https://doi.org/10.1007/s11424-010-8417-x
    摘要 ( ) PDF全文 ( )   可视化   收藏
    Causation is a distinct concept from association and more important than association in epidemiologic studies. This paper proposes the concept of uniform non-confounding for causal distribution effects over multiple covariates, and gives the sufficient conditions for uniform non-confounding over a covariate
    set C including confounders or non-confounders, and also shows the conditions for conditionally non-confounding in the subpopulations. All these conditions can be tested by observed data.
  • Liyong Shen;Chunming Yuan
    Journal of Systems Science and Complexity. 2010, 23(4): 804-814. https://doi.org/10.1007/s11424-010-7218-6
    摘要 ( ) PDF全文 ( )   可视化   收藏
    Among several implicitization methods, the method based on resultant computation is a simple and direct one, but it often brings extraneous factors which are difficult to remove. This paper studies a class of rational space curves and rational surfaces by implicitization with univariate resultant computations. This method is more efficient than the other algorithms in finding implicit equations for this class of
    rational curves and surfaces.
  • Zhongxiao JIA
    Journal of Systems Science and Complexity. 2010, 23(4): 815-821. https://doi.org/10.1007/s11424-010-7190-1
    摘要 ( ) PDF全文 ( )   可视化   收藏
    It is well-known that many Krylov solvers for linear systems, eigenvalue problems, and singular value decomposition problems have very simple and elegant formulas for residual norms. These formulas not only allow us to further understand the methods theoretically but also can be used as cheap stopping criteria without forming approximate solutions and residuals at each step before convergence takes place. LSQR for large sparse linear least squares problems is based on the Lanczos bidiagonalization process and is a Krylov solver. However, there has not yet been an analogously elegant formula for residual norms. This paper derives
    such kind of formula. In addition, the author gets some other properties of LSQR and its mathematically equivalent CGLS.
  • Chengjin LI;Wenyu SUN;Raimundo J. B. de SAMPAIO
    Journal of Systems Science and Complexity. 2010, 23(4): 822-829. https://doi.org/10.1007/s11424-010-8057-1
    摘要 ( ) PDF全文 ( )   可视化   收藏
    In this paper, an equivalency condition of nonsingularity in nonlinear semidefinite programming, which can be viewed as a generalization of the equivalency condition of nonsingularity for linear semidefinite programming, is established under certain
    conditions of convexity.
  • Ximeng LIAN;Hongxing RUI
    Journal of Systems Science and Complexity. 2010, 23(4): 830-845. https://doi.org/10.1007/s11424-010-8176-8
    摘要 ( ) PDF全文 ( )   可视化   收藏
    Seawater intrusion problem is considered in this paper. Its mathematical model is a nonlinear coupled system of partial differential equations with initial boundary problem. It consists of the water head equation and the salt concentration equation. A combined method is developed to approximate the water head
    equation by mixed finite element method and concentration equation
    by discontinuous Galerkin method. The scheme is continuous in time and optimal order estimates in $\mathcal {H}^1$-norm and $\mathcal {L}^2$-norm are derived for the errors.
  • Chao GU;Detong ZHU
    Journal of Systems Science and Complexity. 2010, 23(4): 846-860. https://doi.org/10.1007/s11424-010-9051-3
    摘要 ( ) PDF全文 ( )   可视化   收藏
    This paper proposes a filter secant method with nonmonotone line search for non- linear equality constrained optimization. The Hessian of the Lagrangian is approximated using the BFGS secant update. This new method has more flexibility for the acceptance of the trial step and requires less computational costs compared with the monotone one. The global and local convergence of the proposed
    method are given under some reasonable conditions. Further, two-step $Q$-superlinear convergence rate is established by introducing second order correction step. The numerical experiments are reported to show the effectiveness of the proposed algorithm.
  • Liying LIU;Zengxin WEI;Xiaoping WU
    Journal of Systems Science and Complexity. 2010, 23(4): 861-872. https://doi.org/10.1007/s11424-010-7180-3
    摘要 ( ) PDF全文 ( )   可视化   收藏
    In this paper, a new modified BFGS method without line searches is proposed. Unlike traditional BFGS method, this modified BFGS method is proposed based on the so-called fixed steplength strategy introduced by Sun and Zhang. Under some suitable assumptions, the global convergence and the superlinear convergence of the new algorithm are established, respectively. And some preliminary numerical experiments, which shows that the new Algorithm is feasible, is also reported.
  • Mingfang XIE;Fuji ZHANG
    Journal of Systems Science and Complexity. 2010, 23(4): 873-882. https://doi.org/10.1007/s11424-010-7024-1
    摘要 ( ) PDF全文 ( )   可视化   收藏
    Let $Q_{n}$ and $B_n$ denote a quasi-polyomino chain with $n$
    squares and a quasi-hexagonal chain with $n$ hexagons,
    respectively. In this paper, the authors establish a relation
    between the Wiener numbers of $Q_n$ and $B_n$:
    $W(Q_n)=\frac{1}{4}\big[W(B_n)-\frac{8}{3}n^{3}+\frac{14}{3}n+3\big]$.
    And the extremal quasi-polyomino chains with respect to the Wiener
    number are determined. Furthermore, several classes of polyomino
    chains with large Wiener numbers are ordered.