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 Markov chain with state space S, transition rate from state i to j given by qij 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
Read more about this topic: Balance Equation
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