The Well-posedness and Regularity of a Batch Arrival Poisson Queue with Generalized Vacation

Abstract

In this paper the solution of a batch arrival Poisson queue with generalized vacation is investigated. By using the method of functional analysis, especially, the linear operator theory and the ð¶0 semigroup theory on Banach space, we prove the well-posedness of the system, and show the existence of positive solution.