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標題: N 方策 M/G/1排隊系統的最大熵值研究
A maximum entropy principle to the N policy M/G/1 queueing system
作者: 莊思倫
關鍵字: maximum entropy principle;最大熵值
出版社: 應用數學系
摘 要
在本篇論文裡,我們研究用Maximum entropy principle來分析 N 方策的M/G/1 排隊系統。首先,利用Maximum entropy principle推導出此系統之穩態解,然後,運用其推導出來的結果來獲得平均等待時間。最後,針對標準的M/M/1、M/E2/1和M/H2/1排隊系統及N方策的M/M/1、M/E2/1和M/H2/1排隊系統作數值比較分析。

In this thesis, the maximum entropy principle is used to analyze the N policy M/G/1 queueing system. We first derive the steady state solutions for the N policy M/G/1 queueing system by using the maximum entropy principle. Next, we use the derived results to obtain the mean waiting time in the queue. Finally, we present numerical comparisons between the established exact results and the corresponding approximate results to the ordinary M/M/1, M/E2/1, and M/H2/1 queueing systems and the N policy M/M/1, M/E2/1, and M/H2/1 queueing systems.
Appears in Collections:應用數學系所

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