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In probability theory, a balance equation is an equation that describes the probability flux associated with a Markov chain in and out of states or set of states. ==Global balance== The global balance equations (also known as full balance equations) are a set of equations that in principle can always be solved to give the equilibrium distribution of a Markov chain (when such a distribution exists). For a continuous time Markov chain with state space ''S'', transition rate from state ''i'' to ''j'' given by ''q''''ij'' and equilibrium distribution given by , the global balance equations are given for every state ''i'' in ''S'' by :: Here represents the probability flux from state ''i'' to state ''j''. In general it is computationally intractable to solve this system of equations for most queueing models. For a discrete time Markov chain with transition matrix ''P'' and equilibrium distribution the global balance equation is :: 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「balance equation」の詳細全文を読む スポンサード リンク
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