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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 Residual time ： ウィキペディア英語版 Residual time In the theory of renewal processes, a part of the mathematical theory of probability, the residual time or the forward recurrence time is the time between any given time $t$ and the next epoch of the renewal process under consideration. The residual time is very important in most of the practical applications of renewal processes: * In queueing theory, it determines the remaining time, that a newly arriving customer to a non-empty queue has to wait until being served.〔William J. Stewart, "Probability, Markov Chains, Queues, and Simulation: The Mathematical Basis of Performance Modeling", Princeton University Press, 2011, ISBN 1-4008-3281-0, 9781400832811〕 * In wireless networking, it determines, for example, the remaining lifetime of a wireless link on arrival of a new packet. * In dependability studies, it models the remaining lifetime of a component. * etc. == Formal definition == Consider a renewal process $\backslash$, with ''holding times'' $S\_$ and ''jump times'' (or renewal epochs) $J\_$, and $i\backslash in\backslash mathbb$. The holding times $S\_$ are non-negative, independent, identically distributed random variables and the renewal process is defined as $N(t)\; =\; \backslash sup\backslash$. Then, to a given time $t$, there corresponds uniquely an $N(t)$, such that: : The residual time (or excess time) is given by the time $Y(t)$ from $t$ to the next renewal epoch. :$Y(t)\; =\; J\_\; -\; t.\; \backslash ,$ 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「Residual time」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.