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

Xiao-hua WANG

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 𝐶0 semigroup theory on Banach space, we prove the well-posedness of the system, and show the existence of positive solution.

Keywords


Well-posedness, Regularity, Poisson queue, 𝐶0 -semigroup, Dissipative operator, Dispersive operator


DOI
10.12783/dtcse/aicae2019/31481

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