Transient Queueing Delay in a Finite-Buffer Batch-Arrival Model with Constant Repeated Vacations

A finite-buffer single-channel queueing model with batch Poisson arrivals and generally-distributed processing times is considered, in which a variant of a vacation policy is implemented. Namely, every time when the service station becomes idle, a number of constant vacation times are being initialized repeatedly, until at least one packet will income into the accumulating buffer. During the whole vacation period the processing of packets is suspended. Applying the analytical method based on the idea of embedded Markov chain and linear-algebraic approach, a compact-form representation for the Laplace transform of the queueing delay tail distribution is found. The considered queueing system can be utilized in performance evaluation of wireless network nodes with energy saving mechanism based on constant repeated vacations.