在本文中,我們主要研究的目標是Em/Ek/1模型的離去過程之相關性。
在此之前,不少學者作了很多有關M/G/1模型和G/M/1模型離去過程的相關性研究,但當等候理論中的“失憶性”(memoryless)這個重要的性質不再適用後,會產生什麼結果呢?
為了解Em/Ek/1的相關性,我們引入N-階段離去時間分配”(N-step interdeparture time distribution)的方法。藉由這個方法,我們可以計算出系統中離去間隔時間的期望值,E(DN),二階期望值, E(D2N),變異數,Var(DN),共變異數,Cov(D1,DN),和相關係數,Corr(D1,DN)。 / In this thesis, our goal is to study the correlation coefficients of the departure process in the E_m/E_k/1 model.
Many authors conduct a lot of researches about the correlation coefficients of M/G/1 models and G/M/1 models. But what if the property of “memoryless" fails ?
To realize the correlation coefficient of E_m/E_k/1, we derive the methodology of N-step interdeparture time distribution which was presented by Luh in 1999. By adopting it, we can calculate the expectation, E(D_N), second order expectation, E(D_N^2), variance, Var(D_N), covariance, Cov(D_1,D_N), and correlation coefficients, Cov(D_1,D_N) of the system.
Identifer | oai:union.ndltd.org:CHENGCHI/A2002001142 |
Creators | 簡熾華 |
Publisher | 國立政治大學 |
Source Sets | National Chengchi University Libraries |
Language | 英文 |
Detected Language | English |
Type | text |
Rights | Copyright © nccu library on behalf of the copyright holders |
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