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1.
一类可靠性模型解的渐近稳定性   总被引:7,自引:0,他引:7  
研究一个可靠机器,一个不可靠机器和一个缓冲库构成的系统。通过研究相应算子的谱特征得到该系统解的渐近稳定性。  相似文献   

2.
研究了带无穷多个部件的,由一个可靠机器,一个不可靠机器与一个缓冲库构成的系统解的渐近性质.先讨论了对应于该系统的主算子的谱特征并且得到了在虚轴上除了0点外其它所有点都属于该主算子的豫解集,0是该主算子及其共轭算子几何重数为1的特征值.然后将该结果与作者以前的结果结合起来推出该系统的时间依赖解当时刻趋向于无穷时趋向于该系统的稳态解.  相似文献   

3.
研究带无穷多个部件的,由一个可靠机器,一个不可靠机器与一个缓冲库构成的系统主算子在左半复平面中的特征值,证明2√λη1μη2-λη1-μη2是该主算子的几何重数为1的一个特征值.  相似文献   

4.
本文用纯分析的方法给出了一个可靠机器 ,一个不可靠机器和一个缓冲库构成的系统解的存在唯一性证明  相似文献   

5.
本文研究一个可靠机器、一个不可靠机器与只容纳一个部件的缓冲库构成的系统的时间依赖解的渐近行为.首先在我们已有的工作基础上指出该模型的主算子生成的C_0-半群的本质增长界小于一个负数,由此推出0是该主算子的一级极点。然后用残数定理求该系统研究中出现的投影算子的表达式.最后证明该模型的时间依赖解指数收敛于其稳态解.本文的思想和方法适用于一个可靠机器、一个不可靠机器与容纳有限个部件的缓冲库构成的系统.  相似文献   

6.
研究一个可靠机器,一个具有无穷容量的缓冲库和一个不可靠机器构成的系统的主算子的谱.当机器1的加工率λ,机器2的加工率μ,部件从机器1成功地传送到机器2的概率η_1,机器2成功处理完部件的概率η_2满足一定的条件时,证明-μ不是该系统的主算子的特征值.  相似文献   

7.
研究由一个可靠机器,一个不可靠机器与一个无穷容量的缓冲库构成的系统主算子在左半复平面中的特征值,证明对一切θ∈(0,1),(2(λη_1μη_2)~(1/2)-λη_1-μη_2)θ都是该主算子的几何重数为1的一个特征值.  相似文献   

8.
练肇通  邓永录 《应用数学》1996,9(3):278-282
本文讨论了由N个同型部件和一个服务设备组成的机器服务模型,在服务设备绝对可靠,或服务设备具有指数寿命,修理工对其修理的时间为PH分布,这两种情况下求得了系统的平稳概率分布,从而求得机器系统和服务设备的稳态可靠性指标,并证明了它们的首次失效时间均服从PH分布,服务设备和修理工的忙期亦服从PH分布.  相似文献   

9.
在经典排序论中,一般都作以下两条假设:其一是每台机器在任一时刻至多加工一个零件,其二是每个零件在任一时刻至多被一台机器加工.在这篇文章中,研究多台机器可同时加工一个零件的多机排序问题,且每个零件可在固定的一个机器的子集上加工.本文在机器总数确定,零件加工可间断的条件下,设计出求这类问题最优解的计算方法,并研究了这种问题的计算复杂性.  相似文献   

10.
本文讨论了完全超约化算子的性质,共得到三个结果,主要结果是给出了完全超约化算子有一个超约的特征向量的充分条件。  相似文献   

11.
In modern automated production lines, it is common to connect pairs of machines with mechanical storage devices in order to provide buffering between processing stations. Since these devices are mechanical, they are prone to failure. Previous research concerning the analytical modeling of a class of production lines, the serial transfer line, assumes that these buffers are completely reliable. The concept of an unreliable buffer is introduced and an analytic model of a two machine line with an unreliable buffer is developed. It is proposed that this model will form the foundation for an analytic model of the more complex K > 2 machine serial transfer line with unreliable buffers.  相似文献   

12.
Complexity has been a long standing obstacle to efficient buffer assignment in transfer lines. For fixed buffer sizes, an approximate transfer line decomposition/aggregation algorithm is developed and its ability to predict line performance is demonstrated via Monte-Carlo simulations. It equates the line with a collection of isolated, unreliable multi-state machines with recursively related statistical parameters. For scalability enhancement, state merging is used to reduce the number of machine states from up to 6 down to 2. An efficient dynamic programming based buffering optimization algorithm which minimizes a combined measure of storage and backlog costs in the transfer line is then presented. Numerical results and comparisons with alternative algorithms are reported.  相似文献   

13.
We consider a transfer line consisting of a series of machinesseparated by buffers of finite capacity. The processing of apart on a machine requires a fixed amount of time. In thesesystems, blocking and starvation, which occur as a consequenceof machine failures, are important phenomena. Except for transferlines without buffer storage, no exact models of such systemshave been reported in the literature, even in the case of two-machinelines. Two approximate models have been proposed: the discrete-timemodel and the continuous-flow model. Exact solutions of theemodels have been reported in the case of two-machine Lines,and approximations have been proposed for longer lines. Thepurpose of this paper is to provide properties of the continuous-flowmodel. The main result of the paper is to show that lower andupper bounds on the exact production rate of the transfer linecan be obtained using the continuous flow model. These boundsare obtained by making an appropriate choice of the buffer capacities  相似文献   

14.
Rn中连续算子的逼近问题的数值方法,一直是计算科学中研究的热点。本文引进了新兴的智能机器一支持向量机,以解决Rn中连续算子的逼近问题。在给出支持向量机用于算子逼近问题的详细数学表示之后,我们提出了分块逼近的算法,并通过具体的实例说明支持向量机在算子逼近问题中的有效性与优越性。  相似文献   

15.
A transfer line is a tandem production system, i.e. a series of machines separated by buffers. Material flows from outside the system to the first machine, then to the first buffer, then to the second machine, the second buffer, and so forth. In some earlier models, buffers are finite, machines are unreliable, and the times that parts spend being processed at machines are equal at all machines. In this paper, a method is provided to extend a decomposition method to large systems in which machines are allowed to take different lengths of time performing operations on parts. Numerical and simulation results are provided.  相似文献   

16.
In this paper,we consider the generalized translations associated with the Dunkl and the Jacobi-Dunkl differential-difference operators on the real line which provide the structure of signed hrpergroups on R.Especially,we study the representation of the generalized translations of the product of two functions for these signed hypergroups.  相似文献   

17.
Singularities of solutions of graded differential equations as filtrations are studied. Symbols and the transfer operator associated with the h-adic filtration are computed. The condition that the transfer operator is a differential operator over the characteristic manifold of codimension 1 for this filtration is given. The Dirac operator is introduced by using the De Broglie principle: singularities of wave-like solutions move as material points. Use of the transfer operator associated with the h-adic filtration implies an invariant definition of the Pauli operator. A natural parallel translation arises as quantum analog of the Levi-Civita connection.  相似文献   

18.
In this paper we prove a transfer principle for multivalued stochastic differential equations.  相似文献   

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