Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/18602
標題: N方策M/G(G)/1排隊系統含有單一可移動及會故障服務者之比較分析
Comparative Analysis for the N Policy M/G(G)/1 Queueing System with a Removable and Unreliable Server
作者: 王立萍
關鍵字: N Policy;N方策;M/G(G)/1;M/G(G)/1
出版社: 應用數學系
摘要: 
在本篇論文裡,我們研究用最大熵值原理來分析N方策的M/G(G)/1排隊系統。首先,利用最大熵值原理推導出此系統之穩態解。然後,運用其推導出來的結果獲得平均等待時間。最後,針對N方策的M/M(M)/1、M/E3(E4)/1、M/H2(H3)/1和M/D(D)/1排隊系統作數值比較分析。

This thesis analyzes a single removable and unreliable server in the N policy M/G/1 queueing system in which the server breaks down according to a Poisson process and the repair time obeys an arbitrary distribution. The maximum entropy method is used to develop the approximate steady-state probability distributions of the N policy M/G(G)/1 queueing system, where the second and the third symbols denote service time and repair time distributions, respectively. A study of the derived approximate results, compared to the exact results for the M/M(M)/1, M/E3(E4)/1, M/H2(H3)/1 and M/D(D)/1 queueing systems, suggest that the maximum entropy principle provides a useful method for solving complex queueing systems.
URI: http://hdl.handle.net/11455/18602
Appears in Collections:應用數學系所

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