本文選題：交互隨機(jī)環(huán)境 + 災(zāi)難�。� 參考：《南京理工大學(xué)》2017年碩士論文

【摘要】：在最近的幾十年里,由于排隊(duì)論在現(xiàn)代復(fù)雜通信網(wǎng)絡(luò)中的重要應(yīng)用,在隨機(jī)環(huán)境下研究排隊(duì)模型已成為一種熱潮,并且極具現(xiàn)實(shí)意義。在擁有多個(gè)隨機(jī)環(huán)境的排隊(duì)系統(tǒng)中,環(huán)境之間會(huì)按照一定的規(guī)則進(jìn)行跳轉(zhuǎn),每個(gè)環(huán)境都有其相應(yīng)的顧客的到達(dá)率以及服務(wù)員的服務(wù)率。本文在交互環(huán)境(2階隨機(jī)環(huán)境)下研究排隊(duì)系統(tǒng),主要分析三個(gè)排隊(duì)模型。模型一為交互環(huán)境下帶有專(zhuān)有維修環(huán)境的M/G/1可修排隊(duì)系統(tǒng)。在服務(wù)員服務(wù)期間,系統(tǒng)可能會(huì)發(fā)生災(zāi)難,導(dǎo)致服務(wù)中斷,并且系統(tǒng)中所有顧客必須離開(kāi)系統(tǒng),服務(wù)臺(tái)在專(zhuān)有的維修環(huán)境下進(jìn)行維修。在該模型的分析中,我們求出了系統(tǒng)的穩(wěn)態(tài)分布以及平均隊(duì)長(zhǎng)、服務(wù)員空閑的概率等性能指標(biāo)。模型二為交互環(huán)境下帶有批服務(wù)的輪循排隊(duì)系統(tǒng),也是對(duì)Israeli隊(duì)列的研究。運(yùn)用矩陣分析和譜分析兩種方法求出了系統(tǒng)隊(duì)長(zhǎng)的穩(wěn)態(tài)分布,并給出了在主隊(duì)列已滿(mǎn)的條件下,選擇進(jìn)入等待區(qū)域的顧客的條件等待時(shí)間以及等待區(qū)域的平均隊(duì)長(zhǎng)等性能指標(biāo)。模型三為交互環(huán)境下帶有啟動(dòng)時(shí)間的清空排隊(duì)系統(tǒng)。該模型是基于現(xiàn)實(shí)生活中的交通服務(wù)系統(tǒng)。從經(jīng)濟(jì)學(xué)角度,基于"收入—支出"結(jié)構(gòu),分別從可見(jiàn)和不可見(jiàn)兩種情形分析了顧客的止步策略。對(duì)于上述討論的模型,我們分別進(jìn)行了數(shù)值分析,用以說(shuō)明特定參數(shù)對(duì)各性能指標(biāo)的影響。
[Abstract]:In recent decades, because of the important application of queuing theory in modern complex communication networks, the study of queuing model in random environment has become a kind of upsurge and has great practical significance. In queueing systems with multiple random environments, each environment has its corresponding arrival rate of customers and service rate of waiters according to certain rules. In this paper, the queuing system is studied in the interactive environment (2 order random environment), and three queuing models are analyzed. Model one is an M / G / 1 repairable queuing system with proprietary maintenance environment in interactive environment. During the server service, the system may suffer a disaster, resulting in service disruption, and all customers in the system must leave the system, the help desk in a proprietary maintenance environment to carry out maintenance. In the analysis of the model, we obtain the steady-state distribution of the system, the average queue length, the idle probability of waiters and other performance indicators. The second model is an iterative queuing system with batch service in interactive environment, and it is also a study of Israeli queue. The steady-state distribution of system queue length is obtained by using matrix analysis and spectral analysis, and the performance indexes such as the conditional waiting time of the customer entering the waiting area and the average queue length of the waiting area are given under the condition that the main team column is full. Model 3 is an empty queuing system with startup time in interactive environment. The model is based on the real-life traffic service system. From the point of view of economics, based on the structure of "income-expenditure", this paper analyzes the stopping strategies of customers from the two situations of visible and invisible. The models discussed above are numerically analyzed to illustrate the effects of specific parameters on each performance index.
【學(xué)位授予單位】：南京理工大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2017
【分類(lèi)號(hào)】：O226

【參考文獻(xiàn)】

相關(guān)期刊論文 前2條

1 張雪露;王金亭;;伴有故障和延遲維修的清空排隊(duì)系統(tǒng)的均衡分析[J];北京交通大學(xué)學(xué)報(bào);2014年03期

2 張淑芳;;基于交互環(huán)境下的Geom/Geom/1清空排隊(duì)系統(tǒng)的顧客止步策略[J];太原師范學(xué)院學(xué)報(bào)(自然科學(xué)版);2013年03期

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本文編號(hào)：2114671