Article ID Journal Published Year Pages File Type
4663725 Acta Mathematica Scientia 2014 30 Pages PDF
Abstract

By studying the spectral properties of the underlying operator corresponding to the M/G/1 queueing model with optional second service we obtain that the time-dependent solution of the model strongly converges to its steady-state solution. We also show that the time-dependent queueing size at the departure point converges to the corresponding steady-state queueing size at the departure point.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)