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1.
岳孟田  李增提 《数学杂志》2015,35(1):103-109
本文研究了二面体群的元素的等价划分问题。利用群在集合上的作用,在二面体群上构造了一类新的结合方案,并且计算了这类结合方案的所有参数。进一步,得到了一类强正则图。所得到的结果丰富了结合方案理论。  相似文献   

2.
本文根据目前常见的彩票销售规则及相应的奖金设置方案,综合分析了高项奖奖金额和低项奖中奖率对彩民的吸引力等因素,将发行方案的合理性问题归结为发行方案对彩民的吸引力上,引入了表示彩民心理趋向的偏好系数,构造了吸引力函数,同时综合考虑了封顶值等因素,对现行常见的29种彩票发行方案进行了综合评价。  相似文献   

3.
分了平面蜂窝区域的结构与避免射频干扰的给定规则之间的关系,找到了适应给定规则的基模块,把射频信道的最优分配问题转化为基模块的最优分配问题和基模块的适当平移问题,由之给出了平面上任何蜂窝区域射频信道的分配方案,并证明了所给方案的最优性,求得满足给定规则簇的分配方案所使用最大频率的最小值span作为给定规则簇中信道代号变量k的函数表达式为  相似文献   

4.
模糊权数与方案排序   总被引:6,自引:0,他引:6  
讨论了由Fuzzy权数导出方案排序中的问题,提出了评价Fuzzy权数取值大小及取值集中程度的两个指标,并据此给出了由Fuzzy权数导出方案排序的方法。  相似文献   

5.
一类有时间窗口约束的多资源动态调度模型与方法   总被引:1,自引:0,他引:1  
含时间窗口的多资源调度,是一个包括资源分配和时间窗口分配的两阶段优化过程。在初始调度方案执行过程中,由于新的任务需求的到达,需要对初始方案进行调整.以使整个调度方案最优。本针对这种情况,分析了该问题中的主要约束条件.建立了含时间窗口的多资源动态调度模型,给出了一种启发式迭代修改求解方法;并以含时间窗口的多机调度问题为例.对模型和算法进行了验证。  相似文献   

6.
在中国,决策者常常须在满足一定的均衡条件下从许多替代方案中选出一个最佳方案。本文提出了一个整数规划模型来描述这类问题,同时也给出了该模型的算法.  相似文献   

7.
打车软件平台增加了乘客与出租车司机之间的信息透明度,促进了供求匹配,在一定程度上缓解了“打车难”的问题。从另一个角度,出租车司机获得了乘客的需求信息后,可能出现“挑单”的现象,一些低收益的订单将会难以被接。本文基于深圳市的实际数据,分析了深圳市的出租车供求关系时空分布,并探讨了已有补贴方案对出租车资源配置的影响,之后给出了更合理的补贴方案的设计模型,并通过仿真说明方案的可行性。从某种程度上,能够通过经济手段实现出租车资源的优化配置,最大程度上有效缓解“打车难”的问题。  相似文献   

8.
马尔可夫链在经济管理上的应用   总被引:4,自引:0,他引:4  
本文用马氏链的理论对经济管理中的某些问题进行了预测分析,解决了如何预测出租汽车的流向及如何制定生产方案的问题。  相似文献   

9.
随机偏爱群体决策的随机Borda数法   总被引:1,自引:0,他引:1  
对于具随机偏爱信息的群体决策问题,本文引入供选方案的随机Borda数和供选方案集上的随机Borda数映射概念.在讨论了随机Borda数映射满足随机偏爱公理的基础上,给出一个对所有供选方案进行群体排序的方法.  相似文献   

10.
王怀忠 《应用数学和力学》1994,15(12):1111-1117
本文对有限元和直接积分法瞬态动力计算的时空离散协调问题进行了研究,本文分别分析了空间离散和时间离散所引起的数值误差,提出了均衡空间离散引起的能量误差和时间离散引起的能量误差的原则,并给出时空离散协调的前处理方案和自适应方案。  相似文献   

11.
In the paper, a two-grid discretization scheme is discussed for the Steklov eigenvalue problem. With the scheme, the solution of the Steklov eigenvalue problem on a fine grid is reduced to the solution of the Steklov eigenvalue problem on a much coarser grid and the solution of a linear algebraic system on the fine grid. Using spectral approximation theory, it is shown theoretically that the two-scale scheme is efficient and the approximate solution obtained by the scheme maintains the asymptotically optimal accuracy. Finally, numerical experiments are carried out to confirm the considered theory.  相似文献   

12.
崔霞  岳晶岩 《计算数学》2015,37(3):227-246
对于守恒型扩散方程,研究其二阶时间精度非线性全隐有限差分离散格式的性质,证明了其解的存在唯一性.研究了二阶时间精度的Picard-Newton迭代格式,证明了迭代解对原问题真解的二阶时间和空间收敛性,以及对非线性离散解的二次收敛速度,实现了非线性问题的快速求解.本文中方法也适用于一阶时间精度格式的分析,并可推广至对流扩散问题.数值实验验证了二阶时间精度Picard-Newton迭代格式的高精度和高效率.  相似文献   

13.
二维非线性椭圆型奇异摄动边值问题差分格式   总被引:1,自引:0,他引:1  
刘国庆 《计算数学》1996,18(2):149-154
二维非线性椭圆型奇异摄动边值问题差分格式刘国庆(南京化工学院)DIFFERENCESCHEMEFORTWO-DIMENSIONNONLINEARELLIPTICSINGULARLYPERTURBEDBOUNDARYVALUEPROBLEM¥LiuGu...  相似文献   

14.
In this paper, we study the approximation of reverse parabolic problem with integral boundary condition. The Rothe difference scheme for an approximate solution of reverse problem is discussed. We establish stability and coercive stability estimates for the solution of the Rothe difference scheme. In sequel, we investigate the first order of accuracy difference scheme for approximation of boundary value problem for multidimensional reverse parabolic equation and obtain stability estimates for its solution. Finally, we give numerical results together with an explanation on the realization in one- and two-dimensional test examples.  相似文献   

15.
Approximation of source identification problem for elliptic equation with integral-type nonlocal condition is discussed. The first order of accuracy difference scheme for elliptic nonlocal identification problem is studied. By using spectral resolution of a self-adjoint operator, we establish stability inequalities for solution of constructed scheme. Subsequently, the difference scheme for approximate solution of multidimensional boundary value problem with integral-type nonlocal and first kind boundary conditions is investigated on stability. Numerical test examples are presented.  相似文献   

16.
A two-grid discretization scheme for eigenvalue problems   总被引:11,自引:0,他引:11  
A two-grid discretization scheme is proposed for solving eigenvalue problems, including both partial differential equations and integral equations. With this new scheme, the solution of an eigenvalue problem on a fine grid is reduced to the solution of an eigenvalue problem on a much coarser grid, and the solution of a linear algebraic system on the fine grid and the resulting solution still maintains an asymptotically optimal accuracy.

  相似文献   


17.
In this paper, the Crank-Nicolson/Newton scheme for solving numerically secondorder nonlinear parabolic problem is proposed. The standard Galerkin finite element method based on P2 conforming elements is used to the spatial discretization of the problem and the Crank-Nicolson/Newton scheme is applied to the time discretization of the resulted finite element equations. Moreover, assuming the appropriate regularity of the exact solution and the finite element solution, we obtain optimal error estimates of the fully discrete CrankNicolson/Newton scheme of nonlinear parabolic problem. Finally, numerical experiments are presented to show the efficient performance of the proposed scheme.  相似文献   

18.
A regularized optimization problem for computing numerical differentiation for the second order derivatives of functions with two variables from noisy values at scattered points is discussed in this article. We prove the existence and uniqueness of the solution to this problem, provide a constructive scheme for the solution which is based on bi-harmonic Green's function and give a convergence estimate of the regularized solution to the exact solution for the problem under a simple choice of regularization parameter. The efficiency of the constructive scheme is shown by some numerical examples.  相似文献   

19.
本文考察了椭圆一双曲型偏微分方程奇异摄动问题(1.1),证明了迎风差分格式在一特殊的非均匀网格上是一阶一致收敛的.最后给出了一些数值结果.  相似文献   

20.
The strongly NP-hard scheduling problem of minimizing the maximum lateness on one machine subject to job release dates is under study. We present a general scheme of approximation solution of the problem which is based on searching for a given problem instance another instance, closest to the original in some metric and belonging to a known polynomially solvable class of instances. For a few concrete variants of the scheme (using different polynomially solvable classes of instances) some analytic formulas are found that make it possible, given a problem instance, to compute easily an upper bound on the absolute error of the solution obtained by a chosen scheme.  相似文献   

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