The well-posedness of an M/G/1 M / G / 1 queue with second optional service and server breakdown
In this paper, the solution of an M/G/1 M / G / 1 queue with second optional service and server breakdown is investigated. By using the method of functional analysis, especially, the linear operator theory and the C0 C 0 semigroup theory on Banach space, we prove the well-posedness of the system, and show the existence of a positive solution.
well-posedness m/g/1 m / g / 1 retrial queue m/g/1 m / g / 1 m/g/1 m / g / 1 m / g / 1 c0 c 0 -semigroup c0 c 0 c0 c 0 c 0 dissipative operator