| 1. | The transient distribution of the length of gi g 1 retrial queue with negative customers and repair
1重试可修的排队系统队长瞬时分布 |
| 2. | The fourth method of calculation of the transient distribution l ( t ) will be covered in chapter 4
还有计算l ( t )的瞬时分布的第四种方法，这将在第四章中介绍。 |
| 3. | These results are similar to those of the transient distribution of queue length about gi / g / 1 queueing system
这些结果与前述关于gi / gll排队系统的瞬时队长分布的结果是类似的。 |
| 4. | ( 2 ) the equation satisfies the transient distribution of the waiting time w ( t ) is obtained , to which the minimal nonnegative solution is the unique bounded solution
( 2 )给出等待时间w ( t )的瞬时分布所满足方程，并证明它为该方程的最小非负解，也是唯一有界解。 |
| 5. | The purpose of the second chapter is to establish the integral representation of the transient distribution of the queue length of these four queueing models which are more general than gi / g / 1 queueing system
第二章的目的，是要建立较gi / g / 1排队系统更一般化的这四个排队系统的瞬时队长分布的积分表示。 |
| 6. | Time - dependence of the mathematical model is taken into account , and time - dependent form of pens is deduced . 5 . numerical analysis of heat and mass transfer in the adsorbent bed is presented , transient distribution of pressure , temperature , velocity and adsorption in it is obtained
对吸附床的传热传质规律进行了数值分析，获得了吸附床内部的瞬时温度压力、吸附质速度、吸附率分布，并通过实验数据验证了数学模型。 |
| 7. | In this dissertation , we first state briefly the developmental history , the present condition of queueing theory , the markovization of queueing system and the research situation for several types of ergodicity , and induce the preliminary knowledge of markov processes and markov skeleton processes , and then the dissertation discusses mainly focus on several problems which exist in researching gi / g / l queueing system , which are categoried as follows : ( i ) non - equilibrium theory for gi / g / 1 queueing system ( l ) we present the equation which satisfies the transient distribution of l ( t ) for the three special cases m / m / 1 , gi / m / 1 and m / g / 1 queue of gi / g / 1 queueing system , and proves that the length l ( t ) of gi / g / 1 queueing system satisfy three types of equation , and their minimal nonnegative solution are unique bounded solutions
归纳了马尔可夫过程和马尔可夫骨架过程的有关的初步知识。然后，本文重点讨论了当前在gi g 1排队系统中待研究的如下几个问题： (一) gi g 1排队系统的非平衡理论( 1 )给出gi g 1排队系统及其三个特例m m 1 ， gi m 1和m g 1排队系统的队长l ( t )的瞬时分布所满足的方程。证明gi g 1排队系统的队长l ( t )满足三种不同方程，并且是这些方程的最小非负解，也是唯一有界解。 |
| 8. | The transient mathematical equations are addressed for the coupled heat and moisture transfer by taking account of moisture accumulation procedure . an analytical method by means of the transfer function is proposed to predict the transient distributions of temperature and moisture content at different interfaces in walls . a numerical analysis approach based on an efficient finite - difference method is developed to deal with the procedure of coupled heat and moisture transfer in a multilayer wall with nonlinear boundary conditions considered
建立了考虑湿积累过程的瞬态热湿耦合模型，在方程中引入了湿积累项；发展了一种传递函数解析方法进行墙体内不同剖面处温度和含湿量的动态预测；首次提出了一种基于有效有限差分法预测非线性边界条件下多层多孔结构内的传热传湿过程的数值分析方法，求解过程中考虑了瞬态边界条件，从而避免了通常处理中由于边界条件设定为常数而给计算带来的误差，对于多层结构每一层物性参数的非连续性，则采用了有效的有限差分逼近处理。 |
| 9. | In queueing theory , the research on gi / g / l queue have been continued for decades of years . by the end of last century , the integral representation of its transient distribution of the queue length has been obtained . in this integral representation , the integrated term can be determined recursively by a system of kolmogorov differential equation
在排队理论中，关于gi / g / 1排队系统的研究，延续了几十年，直至上个世纪末，方得到了它的瞬时队长分布的积分表示，在这个积分表示中，其被积项可以由一组柯尔莫洛夫偏微分方程递归地确定。 |
| 10. | 3 , 4 , 5 and ? 6 of this chapter deal respectively with the transient distribution of the queue length of these four queueing systems . such results are obtained as follows : under the condition of the interarrival times distributions and service times distributions of these queueing models which have density function , their transient distribution of the queue length can be represented as an integral , and the integrated term of this integral can be recursively obtained
在这一章的夸3 、芬4 、县5和号6中，分别针对这四个排队模型，讨论了瞬时队长的分布，最终得到了以下的结果:在这几个模型的到达间隔分布和服务时间分布均具有密度函数的条件下，它们的瞬时队长分布可以表示为一个积分，该积分的被积项可以递归地求取。 |
