Performance analysis of MAP/G/1 queue with working vacations and vacation interruption

Abstract: We consider the MAP/G/1 queue with working vacations and vacation interruption. We obtain the queue length distribution with the method of supplementary variable, combined with the matrix-analytic method and censoring technique. We also obtain the system size distribution at pre-arrival epoch and the Laplace–Stieltjes transform (LST) of waiting time. [Copyright &y& Elsevier]