A detailed note on the finite-buffer queueing system with correlated batch-arrivals and batch-size-/phase-dependent bulk-service

This paper analyzes a finite-buffer queueing system, where customers arrive in batches and the accepted are served by single server. The service is assumed to be dependent on batch-size follows general bulk rule. inter-arrival times of correlated they represented through batch Markovian arrival process (BMAP). Computation procedure queue-length distributions at post-batch-service completion, an arbitrary, pre-batch-arrival epochs discussed. Various performance measures along with consecutive customer loss probabilities studied considering batch-size-dependent renewal time distributions. Further, above bulk-service model also investigated batch-service which presented (MSP). phase-dependent for determined. In form tables graphs, variety numerical results different this paper.