Automata Theory is the study of self-operating virtual machines to help in logical understanding of input and output process, without or with intermediate stage ( s ) of computation ( or any function / process ).
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It is thought that Burke's theorem does not extend to queues fed by a Markovian arrival processes ( MAP ) and is conjectured that the output process of an MAP / M / 1 queue is an MAP only if the queue is an M / M / 1 queue.
