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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 Birth–death process ： ウィキペディア英語版 Birth–death process The birth–death process is a special case of continuous-time Markov process where the state transitions are of only two types: "births", which increase the state variable by one and "deaths", which decrease the state by one. The model's name comes from a common application, the use of such models to represent the current size of a population where the transitions are literal births and deaths. Birth–death processes have many applications in demography, queueing theory, performance engineering, epidemiology or in biology. They may be used, for example to study the evolution of bacteria, the number of people with a disease within a population, or the number of customers in line at the supermarket. When a birth occurs, the process goes from state ''n'' to ''n'' + 1. When a death occurs, the process goes from state ''n'' to state ''n'' − 1. The process is specified by birth rates $\backslash \_$ and death rates $\backslash \_$. ==Examples== A pure birth process is a birth–death process where $\backslash mu\_\; =\; 0$ for all $i\; \backslash ge\; 0$. A pure death process is a birth–death process where $\backslash lambda\_\; =\; 0$ for all $i\; \backslash ge\; 0$. A (homogeneous) Poisson process is a pure birth process where $\backslash lambda\_\; =\; \backslash lambda$ for all $i\; \backslash ge\; 0$ ''M/M/1 model'' and ''M/M/c model'', both used in queueing theory, are birth–death processes used to describe customers in an infinite queue. 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「Birth–death process」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.