標題: 隊伍系統顧客平均極限分配與時間平均極限分配之間的關係
On the relationship between time-Average distribution and customer-average distribution of queues
作者: 趙于翔
彭南夫
Peng, Nan-Fu
統計學研究所
關鍵字: 隨機觀察者;逆向過程;random observers;reversed process
公開日期: 2013
摘要: 本文目的在於找出顧客平均極限分配和時間平均極限分配之間的關係式。我們的方法利用到了隨機觀察者和逆向過程的觀念,證明出顧客平均極限分配與時間平均極限分配之間的函數關係式,接著舉了M/G/k/k和M/M/k二個排隊模型的範例。本文最後推導出初步估計值,模擬了各種的排隊模型,來分析初步估計值和模擬值的估計結果,並說明初步估計值何時會高估或是低估。
This paper is to find the relationship between customer-average distribution and time-average distribution. Our method includes random observers and reversed process, and in steady-state we prove the relationship, and then give two examples in M/G/k/k and M/M/k models. Finally we derive the preliminary estimation to analyze when it will overestimate or underestimate in various queue models.
URI: http://140.113.39.130/cdrfb3/record/nctu/#GT070052615
http://hdl.handle.net/11536/71721
顯示於類別:畢業論文


文件中的檔案:

  1. 261501.pdf