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題名 | Monte Carlo Methods on Customer Retrial Calls in Communications Networks=使用蒙地卡羅的方法處理顧客重撥電話在通訊網路中的影響 |
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作者 | 李宗上; 李旺謙; 劉宗平; 王安台; 張政; Lee, Johnson; Lee, Wang-chien; Liu, Chung Ping; Wang, An Tai; Chang, Cheng; |
期刊 | 中原學報 |
出版日期 | 20030900 |
卷期 | 31:3 2003.09[民92.09] |
頁次 | 頁151-159 |
分類號 | 448.6 |
語文 | eng |
關鍵詞 | 模型建構; 模擬; 性能評估; 堵塞機率; 無線網路; Modeling; Simulation; Performance evaluation; Blocking probability; Wireless networks; |
中文摘要 | 在繁忙的網路通訊頻道中,我們採用蒙地卡羅的 方法,評估顧客重新撥按現象的效應。我們仔細地檢 驗了顧客到達速率與服務速率的時間變化,以及它們 對坊塞機率、排隊長度及等候時間所造成的影響o 對於幾種有關到達速率與服務速率的時間變化問 題,我們作了一些建議和探討,並且獲得幾點結論: (1)倘若重新撥接程序的機率密度函數(pdf)是負自然指 數函數(NEF),而且服務時間太短的時候,那麼到達速 率的時間變化就會對堵塞機率產生強烈的影響。(2)主IJ 達速率的時間變化也會對排隊長度以及等候時間有強 烈的影響。(3)如將重新撥接的現象考慮在內,再與 Erlang B公式作一比較時,就不難發現場塞機率將會 大大的凸顯出來。 我們也發現到:倘若採用擁有Erlang型的時間分 布函數來改變服務速率時,那麼拷塞機率、排隊長度 以及等候時間等均會作輕微地變動。而且一旦Erlang 分布的方差增加時,它們是緩慢地增加。 |
英文摘要 | The effects of customer retrial phenomenon due to busy channe ls in a network by using Monte Carlo methods were studied. The influences of the time variations of the arrival and service rates on the blocking probability, the queueing length and the waiting time were examined. We proposed and investigated several cases of the time variations of the arrival and service rates and concluded that (1)for negative exponential retrial process and small service time, the time variations of the arrival rates can have significant influences on the blocking probability; (2) the time variations of the arrival rates can have strong influences on thevalue of the queue ing length and waiting time; (3) the blocking probabilities areenhanced if the retrial phenom enon is included to compare with the Erlang B formula. We also found that by varying the service rate with the Erlang distributions in time the variations of the blocking probabilities, the queueing time and the waiting time fluctuate mildly and increase slowly as the variance of the Erlang distributions increases. |
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