【摘要】：隨著現(xiàn)代科技的發(fā)展,排隊論和排隊網(wǎng)絡(luò)的應(yīng)用越來越廣泛,從衣食住行到計算機網(wǎng)絡(luò),乃至航空航天都離不開排隊。然而現(xiàn)在的排隊論和排隊網(wǎng)絡(luò),通常都假設(shè)為顧客按照泊松流到達,服務(wù)時間為指數(shù)分布。但由于現(xiàn)實排隊的復(fù)雜多樣性,這個假設(shè)具有局限性。服務(wù)時間還有可能服從對數(shù)正態(tài)分布的現(xiàn)象,比如維修一個可維護系統(tǒng)花費的時間服從對數(shù)正態(tài)分布。然而這方面的研究非常少,所以有必要對服務(wù)時間服從對數(shù)正態(tài)分布的排隊模型進行研究。由于現(xiàn)實排隊模型的復(fù)雜多樣以及排隊網(wǎng)絡(luò)的不確定性,所以很難或基本不可能用精確的數(shù)學(xué)公式來表達排隊模型,這時仿真是有效的解決辦法。通過計算機仿真復(fù)雜的排隊論或者排隊網(wǎng)絡(luò),得出排隊模型的性能參數(shù),并為排隊模型提出優(yōu)化方法。本文利用MATLAB/Simulink對服務(wù)時間服從對數(shù)正態(tài)分布的排隊系統(tǒng)和排隊網(wǎng)絡(luò)做仿真,得出不同排隊系統(tǒng)的特點和性能參數(shù)表達式。同時通過對排隊網(wǎng)絡(luò)的仿真和分析,提出了排隊網(wǎng)絡(luò)重要的系統(tǒng)特征參數(shù)——等待率,根據(jù)等待率得出排隊網(wǎng)絡(luò)的瓶頸和冗余。最后通過瓶頸和冗余為優(yōu)化排隊網(wǎng)絡(luò)提出解決方案。
[Abstract]:With the development of modern science and technology, queuing theory and queuing network are more and more widely used, from food, clothing, housing and transportation to computer network, even aviation and aerospace can not do without queuing. However, the current queuing theory and queuing network usually assume that customers arrive according to Poisson flow and service time is exponentially distributed. However, due to the complexity and diversity of the real queue, this assumption has its limitations. It is also possible to use the logarithmic normal distribution of service time, such as the time taken to maintain a maintainable system from the logarithmic normal distribution. However, there is very little research on this aspect, so it is necessary to study the queuing model of service time service from logarithmic normal distribution. Because of the complexity and diversity of the real queuing model and the uncertainty of the queuing network, it is difficult or impossible to express the queuing model with accurate mathematical formulas. At this time, simulation is an effective solution. Through computer simulation of complex queuing theory or queuing network, the performance parameters of the queuing model are obtained, and the optimization method for the queuing model is proposed. In this paper, MATLAB/Simulink is used to simulate the queuing system and queuing network with logarithmic normal distribution, and the characteristics and performance parameter expressions of different queuing systems are obtained. At the same time, through the simulation and analysis of queueing network, the important characteristic parameter of queueing network, waiting rate, is put forward, and the bottleneck and redundancy of queueing network are obtained according to the waiting rate. Finally, a solution for optimizing queueing network is proposed by bottleneck and redundancy.
【學(xué)位授予單位】：大連海事大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2015
【分類號】：O226

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本文編號：2325510