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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Kingman's formula ： ウィキペディア英語版 Kingman's formula In queueing theory, a discipline within the mathematical theory of probability, Kingman's formula is an approximation for the mean waiting time in a G/G/1 queue. The formula is the product of three terms which depend on utilization, variability and service time. It was first published by John Kingman in his 1961 paper ''The single server queue in heavy traffic''. It is known to be generally very accurate, especially for a system operating close to saturation. ==Statement of formula== Kingman's approximation states :$\backslash mathbb\; E(W\_q)\; \backslash approx\; \backslash left(\; \backslash frac\; \backslash right)\; \backslash left(\; \backslash frac\backslash right)\; \backslash tau$ where ''τ'' is the mean service time (i.e. ''μ'' = 1/''τ'' is the service rate), ''λ'' is the mean arrival rate, ''ρ'' = ''λ''/''μ'' is the utilization, ''ca'' is the coefficient of variation for arrivals (that is the standard deviation of arrival times divided by the mean arrival time) and ''cs'' is the coefficient of variation for service times. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Kingman's formula」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.