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標題: 以機率全域搜尋分析可控制M/G/1排隊系統
Controllable M/G/1 Queueing System Using Probabilistic Global Search Lausanne
作者: 楊擇中
Yang, Ze-Zhong
關鍵字: M/G/1 排隊系統;M/G/1 queueing system;最大熵理論;最佳化方法;機率全域搜尋法;maximum entropy principle;optimization;Probabilistic Global Search Lausanne
出版社: 統計學研究所
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此篇論文從最佳化理論的角度研究分析可控制N 方策M/G/1 排隊系統。其中服務時間的分配假設為任意分配。並假設當系統中顧客數到達N 時,系統將會開啟服務器;當無顧客在系統中時,則服務器會關閉。
數的最佳穩態解。我們以三個不同服務時間分配(指數、超指數、厄朗)為例,並在該系統中以不同的參數假設運算獲得其數值結果,接著將其與理論穩態機率和Wang et al. (2002)推導的顧客數機率分配的近似公式進行分析比較。
由數值結果可以發現,以機率全域搜尋法獲得的最佳化解在該系統參數設定ρ<0.6 時,其結果較Wang et al.(2002)推導出的顧客數機率分配的近似公式來的接近於理論穩態機率的結果;而在ρ>0.6 時(heavily traffic)則Wang et al.(2002)提出的近似公式會有較好的表現。所以機率全域搜尋法在特定參數設定之下,確實能得到較接近該系統中理論穩態機率的結果。
其他識別: U0005-2808201212512200
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