Reliability Analysis of Supply Chain System with the Multi-Suppliers and Single Demander

The time-dependent solution of a kind of supply chain system with the multi-suppliers and single demander is investigated in this paper. By choosing state space and defining operator of system, we transfer model into an abstract Cauchy problem. We are devoted to studying the unique existence of the system solution and its exponential stability by using the theory of C_0-semigroup. We prove that the system operator generates C_0-semigroup by the theory of cofinal operator and resolvent positive operator. We derive that the system has a unique nonnegative dynamic solution exponentially converging to its steady-state one which is the eigenfunction corresponding eigenvalue 0 of the system operator.     

一类可修的人机系统解的渐近稳定性

研究了两相同部件温储备可修的人机系统,利用由该系统所决定的算子A+B生成的Banach空间中的正压缩C0半群,证明了此系统的非负稳定解恰是算子A+B的.本征值对应的本征向量,同时通过研究算子A+B的谱特征,得到了算子A+B的谱点均位于复平面的左半平面且在虚轴上除0点外无谱的结论,进而得到了该系统的渐近稳定性.     

两部件并联维修系统解的渐近稳定性

研究了两部件并联维修系统,在系统非负解存在惟一的基础上,利用系统算子生成的Banach空间中的正压缩C0半群,证明了系统的非负稳定解恰是系统算子0本征值对应的非负本征向量.同时通过研究系统算子的谱特征,证明了系统算子的谱点均位于复平面的左半平面且虚轴上除0外无谱,进而得到系统的渐近稳定性.     

Reliability Analysis of a Cold Standby Repairable System with Repairman Extra Work

This paper deals with a cold standby repairable system with two identical units and one repairman who can do extra work in idle time. The authors are devoted to studying the unique existence and exponential stability of the system solution. C0-semigroup theory is used to prove the existence of a unique nonnegative time-dependent solution of the system. Then by using the theory of resolvent positive operator, the authors derive that dynamic solution of the system exponentially converges to its steady-state one which is the eigenfunction corresponding to eigenvalue 0 of the system operator. Some reliability indices of the system are discussed with a different method from traditional one. The authors also make a profit analysis to determine the optimal service time outside the system to maximize the system profit.     

ASYMPTOTIC PROPERTY OF THE TIME-DEPENDENT SOLUTION OF A RELIABILITY MODEL

We discuss a transfer line consisting of a reliable machine, an unreliable machine and a storage buffer. This transfer line can be described by a group of partial differential equations with integral boundary conditions. First we show that the operator corresponding to these equations generates a positive contraction C0-semigroup T(t), and prove that T(t) is a quasi-compact operator. Next we verify that 0 is an eigenvalue of this operator and its adjoint operator with geometric multiplicity one. Last, by using the above results we obtain that the time-dependent solution of these equations converges strongly to their steady-state solution.     

带有缓冲库的串联CIMS渐近稳定性分析

讨论了一个可靠机器,一个不可靠机器和一个缓冲库构成的计算机集成系统(CIMS),利用由该系统所决定的算子A+E生成的Banach空间中的正压缩C0半群,证明了此系统的非负稳定解恰是算子A+E的0本征值所对应的规范化后的本征向量;同时通过对算子A+E的谱点分布的分析,证明了算子A+E的谱点均位于左半平面且在虚轴上除0点外无谱,作为线性算子半群稳定性的一个直接结果,得出了该系统解的渐近稳定性.     

STABILITY OF STEADY－STATE SOLUTIONS OF THE COMPETITION MODEL IN THE CHEMOSTAT

ＳＴＡＢＩＬＩＴＹＯＦＳＴＥＡＤＹ－ＳＴＡＴＥＳＯＬＵＴＩＯＮＳＯＦＴＨＥＣＯＭＰＥＴＩＴＩＯＮＭＯＤＥＬＩＮＴＨＥＣＨＥＭＯＳＴＡＴ￥ＷＵＪｉａｎｈｕａ（Ｘｉ＇ａｎＩｎｓｔｉｔｕｔｅｏｆＨｉｇｈｗａｙ，Ｘｉ，ａｎ７１００６４，Ｃｈｉｎａ）ＬＩＹａｎ...     

求解度约束最小生成树的单亲遗传算法

提出了求解度约束最小生成树问题的单亲遗传算法.该算法首先利用Prufer数对生成树进行编码;然后精心地设计了一个随机地产生初始种群的方法,用这种方法产生的初始种群,不会含有任何不可行解;在遗传操作中只使用选择和变异操作,共设计了三种变异操作,其中两种变异操作均不会产生不可行解,只有一种变异操作可能会产生不可行解,需要作树的度的检查和修改;这样就大大的降低了不可行解产生的机会,从而提高了遗传算法的效率;而且只使用变异算子,有效的避免了早熟收敛现象的产生;通过大量的数值试验,表明该算法简单,高效,收敛率高;最后对此算法做了适当推广,并给出了它求解TSP问题的具体步骤和实例。     

区域反导目标分配模型优化分析

区域反导目标分配是多资源约束,按照一定分配准则循环分配的过程.分析了区域反导目标分配流程与准则,构建综合拦截概率和作战效费比的目标分配模型,并给出了该目标分配模型转化为基本0-1规划问题的方法;针对该多约束目标分配优化模型对高寻优、强实时求解算法的需求,结合生物免疫过程,引入改进的克隆选择算子、云自适应变异算子、抗体重组算子、精英抗体保存算子,提出快速收敛的克隆选择算法.仿真结果表明该算法尤其解决大规模区域反导目标分配问题时不失为较为理想的优化算法.     

Stabilization of a non-homogeneous rotating body-beam system with the torque and nonlinear distributed controls

This paper considers the stabilization of non-homogeneous rotating body-beam system with the torque and nonlinear distributed controls. To stabilize the system, the authors propose the torque and nonlinear distributed controls applied on the disk and flexible beam respectively. As long as the angular velocity of the disk does not exceed the square root of the first eigenvalue of the related self-adjoint positive definite operator, the authors show that the torque and nonlinear distributed control laws suppress the system vibrations, in the sense that the beam vibrations are forced to decay exponentially to zero and the body rotates with a desired angular velocity.     

VIBRATIONAL SYSTEMS OF A CLASS OF THIN CYLINDRICAL SHELLS

The vibration of thin circular cylindrical shells has been studied extensively.In this paper, the existence and uniqueness of the solution of this system are proved bymeans of semigroup theory on the Hilbert space, and the eigenvalue problem is discussed.This offers a theoretical basis for solving this kind of engineering problems.     

EXISTENCE AND UNIQUENESS OF POSITIVE EIGENVALUES FOR CERTAIN EIGENVALUE SYSTEMS

1.IntroductionLetnbeaboundeddomaininR"withsmoothboundaryoa,A.denotethep-Laplaciandefinedbya.~div(IVuIP--'Vu),forpE(1,co),andop.(u)=]nip--'if.ItiswellknownthattheeigenvalueproblemhasauniquepositiveeigenvalueAcforwhichtheeigenvalueproblerll(1.1)possessespositiveeigenfunctions.Infact,andtheeigenfunctionsforAcaretheminimizersofthefunctionalMoreover,suchaminimizerofo6Wt3'(n)existsandisuniqlle11ptoascalarmultiple,andofo6Lab(~);wenormalizeitbyjaba(x)lgholpdx~1andofo2:0inD.Thenalsoofo>0inDandcp…     

CLASSICAL TIME DEPENDENT SOLUTION FORNEUTRON TRANSPORT IN A SLAB WITHGENERALIZED BOUNDARY CONDITIONS

1.IntroductionSincethepioneeringworkofLehner,WingandJorgens['3],thetimedependentneutrontransportproblemhasbeentreatedbymanyinvestigators,andtheliteratureonthissubjectisconsiderable.Variousmethods,theCO-semigroupmethodin[2,3],theNeumannseriesexpansionmetho…     

改进PSO算法及在PID参数整定中应用研究

针对粒子群优化算法(PSO)存在早熟和局部收敛的问题,提出了一种带变异算子的改进粒子群优化算法(IPSOM),该算法在搜索中以一定变异概率对选中的粒子进行变异,同时对飞离搜索区域的粒子用新产生的粒子取代,以克服粒子群优化算法易陷入局部最优解的缺陷。用一典型的Rastigrin复杂函数对新算法进行测试,结果表明改进的算法较之粒子群优化算法(PSO)和常规遗传算法(SGA)不但提高了全局寻优能力,而且有效避免了早熟收敛问题。在此基础上将这种改进算法应用于高阶带时滞对象的PID控制器设计中进行仿真研究,结果表明了所提出算法的有效性和所设计控制器的优越性。     

电站两辅助设备冷贮备系统的可靠性分析

研究了由两个同型部件、一个转换开关和一个修理工组成的电站单元机组辅助设备的冷贮备系统.通过选取空间和定义算子, 将模型方程转化成了抽象Cauchy问题. 利用预解正算子和C₀半群理论, 讨论了系统动态解的存在唯一性及其表达式. 通过分析系统算子的谱分布,利用预解正算子和共尾理论得到系统的指数稳定性. 在此基础上,用一个新的方法讨论了系统的稳态指标.     

Hybrid anti-prematuration optimization algorithm

Heuristic optimization methods provide a robust and efficient approach to solving complex optimization problems. This paper presents a hybrid optimization technique combining two heuristic optimization methods, artificial immune system (AIS) and particle swarm optimization (PSO), together in searching for the global optima of nonlinear functions. The proposed algorithm, namely hybrid anti-prematuration optimization method, contains four significant operators, i.e. swarm operator, cloning operator, suppression operator, and receptor editing operator. The swarm operator is inspired by the particle swarm intelligence, and the clone operator, suppression operator, and receptor editing operator are gleaned by the artificial immune system. The simulation results of three representative nonlinear test functions demonstrate the superiority of the hybrid optimization algorithm over the conventional methods with regard to both the solution quality and convergence rate. It is also employed to cope with a real-world optimization problem.     

导弹武器模拟训练考评系统设计

为提高某导弹模拟训练系统中评估的客观性与准确性,确立以准确性、熟练度和操作人员状态为主的评价指标体系,构建适当的数学模型计算各子指标分值,将子指标定量化,解决由考官进行评判时存在的主观性强、标准不统一等缺点。利用专家系统,对考评过程中需要的专业知识和评价规则进行存储,实现了评分过程的自动化。针对层次分析法(analytic hierarchy process, AHP)需要多次赋值保证一致性和群组决策特征根法(group eigenvalue method, GEM)结构模糊的缺点,提出了基于AHP和GEM融合算法的权重设置方案,利用AHP-GEM算法对各子指标得分进行加权评估,最终形成了一套合理有效的模拟训练评估系统。最后,通过与考官人工评分的方法进行比较,验证了所提评分系统的合理性和准确性。     

系统可靠性多目标优化的满意解

对系统可靠性多目标优化模型 ,由各单目标函数来分别定义一个目标满意度函数 ,再将各目标满意度函数用取小算子和加权指数综合为一个总满意度函数 ,最后以总满意度最大为目标建立一个单目标优化模型 ,该单目标优化模型的解是原多目标优化模型的一个非劣解 ,这一非劣解即可作为原多目标优化模型的满意解。最后以一个串联系统的可靠性多目标优化问题为例 ,给出了求满意解的具体方法。     

一种快速遗传算法及其收敛性

针对遗传算法局部搜索能力较差、全局优化速度缓慢、搜索的效率对约束惩罚因子的选择有明显依赖性等问题,设计了能够从可行解空间和不可行解空间同时搜索的交叉算子、具有前期的快速搜索能力和后期的最优解保持能力的变异算子和具有"精英"保持能力的选择算子,并采用已搜索解集避免了子代的"返祖"和退化现象。在此基础上,设计了具有全局搜索能力的遗传算法,并证明了算法的收敛性。仿真结果表明,该算法能够快速地找到全局极值点。     

一种构造径向基神经网络的新型IPL算法

提出了一种新型的IPL(incremental projection learning)算法。该算法通过调整网络参数,达到修正IPL 算子A的目的。与原来的IPL算法相比,新算法所需训练样本数较少,步骤简单,训练速度快。仿真结果表明,由 经过改进的。IPL算法得到的径向基网络结构相对简单,结果也较精确。