排队问题

By calculating the LST and asymptotic series of the service-time distribution we analyze the steady-state waiting-time probabilities of M/G/1 queue system. We also extend the special caseγ=3/2 to the normal case. The results show that it will be helpful to analyze the heavy-tailed waiting-time distribution of self-similar traffic sources. This chapter also proposes a generalized packets loss method.

本章第一部分通过引入一类混合指数分布并证明此类分布服从Pareto重尾分布，得到相应的LST变换闭合形式及服务时间渐进级数，同时将形状参数γ=3/2时的服务时间及其LST变换推广到更一般的情形，较为有效地解决了重尾分布的信源排队等待时间分析问题。

Although each be eager for doing sth, but in actual unit process of cargo bandling, most orgnaization and enterprise also encountered not little obstacle, the face accepts the business that coach like long to already having before the move dragon queueing up, whether the biggest question is on the platoon.

尽管各方摩拳擦掌，但在实际操作过程中，大多数机构和企业也遇到了不少的阻碍，面对着前面已有长龙般接受辅导的企业在排队，能否排上就是最大的问题。

Through the system, users can use the phone anytime, anywhere entertainment, easy to use, can effectively ease the busses, queuing, and others, such as pass the time in question.

通过该系统，用户可以使用手机随时随地进行娱乐，使用简单，能有效缓解坐公车、排队、等人等打发时间的问题。

Applying queuing theory to inventory control,it established an optimal inventory model of a production system with Poisson process about rate of demand and service times,and obtained the optimal inventory capacity for the production system.

将排队论方法用于存贮问题中，建立了需求的到达与产品的生产均服从Poisson过程的生产系统的最优存贮模型，求得了最优库存容量。

To investigate vertical competition in the two-echelon serial supply chain, a M/M/1 queue model is established, the efficiency, firms'decision variables and the customer service level between centralized and decentralized control are compared; a supply chain horizontal competition model is established, the impacts of horizontal competition on performance of the supply chain are analyzed by using theoretical and numerical methods.

针对两级串联供应链中的垂直竞争问题，建立了M／M／1排队模型，对集中控制与分散控制下，供应链的效率、厂商的决策变量和用户服务水平进行了比较分析；建立了供应链水平竞争模型，采用理论分析和数值计算方法，研究了水平竞争对供应链绩效的影响。

In Chapter 2,I consider a queuing system in which there are two exponential servers, each having his own queue, and arriving customers will join the two queues separately, and analyze the two-dimensional Markov process representing the numbers of jobs in the two stations. A functional equation for the generating function of the stationary distribution of this two-dimensional process is derived and solved through the theory of Riemann-Hilbert boundary value problems. In Chapter 3, I consider the system with two parallel queues, in which arrivals join the shorter queue.I describe the problem of coupling and show that the generating function Fcan be continued as a meromorphic function to the whole complex plane.

全文包括三大部分：第一章介绍了基本的背景、研究进展和文章主要采用的方法；第二章研究的是有两个服务员共享的简单的排队方式的模型，即每个服务员有各自的队列，两队队长互不相关，分析了代表两个队长的二维马尔柯夫过程，推导出了二维过程的平稳分布的母函数的方程，并运用Riemann—Hilbert边值问题理论解出了母函数的表达式；第三章研究的是JSQ-PS模型(the joining the shortest queue model with processor sharing)，模型是组合了加入最短队模型和处理器共享模型而成的有用排队模型。

Aiming to solve the problem of queuing disorderly,an intelligent hospital queuing management system based on AT89S52 is introduced.

为了解决目前在医院排队混乱就诊效率低的问题，设计一种实用的医院排队叫号系统。

The SCM(Single-Chip Microcomputer) is based on the queuing system, and its design is also common in the daily life, such as banks, hospitals and other public services. It effectively solves the problem of customers queuing .

摘 要：基于单片机排队叫号系统在应用中比较广泛，在日常生活中也很常见，例如在银行、医院等公众服务性场所中，它的出现有效的解决了顾客排队难的问题。

AFDX is applied in aviation and spaceflight field more abroad with its unique advantage, but because of its communication model, It can't satisfy the requirement of divinable and low latency of the real-time mission, The research of real-time of AFDX has became a important task, To improve the real-time of the network, the most doable method is to adopt the priority management model. This paper analyzes the issue of packet transmission with different priority; gives the average queue time and stay time of packets with different priority under two queue models and gives the computer simulation.

航空电子全双工交换式以太网以其独有的优势在航空航天等领域的应用不断扩展，但是由于通信模式，无法满足实时任务的可预测性和低延迟等要求，因此，研究AFDX的实时性成为一个重要的课题，为了提高网络的实时性最可行的措施就是采取优先级管理模式，对具有优先级的分组传输问题进行了分析，给出了两种优先级排队模型下，不同优先级分组的平均排队等待时间和平均逗留时间，并进行了计算机仿真。

Due to the complexity of the cell jitter, the NonSynchronous Tining Recovery methods are currently not mature With the emphasis being given to the Class A CBR traffic, this paper analyzes the performance of the queueing delay and cell jitter at the source node and intermediate nodes, and discusses the Source Timing Recovery at the destination node in ATM networks Firstly, this paper presents a description of the cell jitter of CBR traffic, and gives the definitions of two kinds of cell jitter regarding the Source Timing Recovery for CBR traffic Then, by using exact mathematical models and analysis methods, this paper analyzes the impact of the factors, such as the capacity of the queueing buffer, the randomness, the deterministic nature and the correlation in cell arrivals of the background traffic sources, on the queueing delay and cell jitter performance of the CBR traffic through Statistical Multiplexitng To obtain an insight into the power spectral distribution and look for better schemes for the depression and filtering of the cell jitter, within the analyses we succeed deriving the power spectrum of the cell jitter for CBR traffic Hence, not only the power spectral distribution of the cell jitter can in the frequency domain be qualitatively understood, but also can the rms (root-meansquare) value of the cell jitter be quantitatively obtained so as to more accurately measure the amplitude of the jitter In the end-to-end performance analysis of the queueing delay and cell jitter, we propose a kind of quasi-periodic cell stream model to characterize the jittered CBR traffic, and present an initial queueing analysis of the CBR traffic following such a model at a generic intermediate node Additionally, we briefly discuss the buildout/playout and Source Timing Recovery functions of the destination node Finally, regarding the Source Timing Recovery of CBR traffic, this paper systematically discusses several important principles of the cell jitter filtering and depression reported in the literature, introduces several implementation schemes of the Source Timing Recovery e.

由于信元抖动的复杂性，非同步定时恢复方法目前还很不成熟。本文针对A类CBR业务流在ATM网络源节点和中间节点的排队时延和信元抖动性能，以及在目的节点的源定时恢复问题作了较为全面的研究。首先，文中描述了CBR业务流的信元抖动，并具体地给出了两种与CBR业务源定时恢复有关的信元抖动的定义。然后，采用了精确的数学模型和分析方法，有针对性地分析了业务背景中信元到达的纯随机性、确定性和相关性以及排队缓存器容量等因素对CBR业务流经过统计复用后的排队时延和信元抖动性能的影响。为了了解信元抖动的功率频谱分布和寻求更好的抑制和滤除抖动的方法，在性能分析中，我们成功地完成了CBR业务流信元抖动的功率谱分析，使得不但可以从频域定性地认识信元抖动的能量分布特性，而且还可以定量地求出信元抖动的均方根值(rms：root-mean-square)，以更为准确地衡量抖动的大小。在CBR业务流的多节点端-端排队时延和信元抖动性能分析中，我们提出了一种准周期性(quasi-periodic)信元流模型来描述感染了信元抖动的CBR业务流，并基于这一模型进行了CBR业务流中间节点的初步排队分析。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。