Abstract A finite-buffer GI/M/1/N− type queueing model is considered. The explicit formula for
the Laplace transform of the transient queue-size distribution, conditioned by the number of …

This paper develops an analytical method to measure the performance of a multi-product
unreliable production line with finite buffers between workstations. The performance …

The analysis for the BMAP/MSP/1 queueing system is based on roots of the associated
characteristic equation of the vector-generating function of system-length distribution at …

We first consider an infinite-buffer single server queue where arrivals occur according to a
batch Markovian arrival process (BMAP). The server serves customers in batches of …

In this paper, we present (in terms of roots) a simple closed-form analysis for evaluating
system-length distribution at prearrival epochs of the GI/C-MSP/1 queue. The proposed …

We consider a batch arrival infinite-buffer single-server queue with generally distributed inter-
batch arrival times with arrivals occurring in batches of random sizes. The service process is …

We first consider a finite-buffer single server queue where arrivals occur according to batch
Markovian arrival process (BMAP). The server serves customers in batches of maximum size …

We consider an infinite-buffer single-server queue with renewal input and Markovian service
process where customers are served in batches according to a general bulk service rule …

This paper applies a matrix-analytical approach to analyze the packet loss pattern of finite
buffer single server queue with discrete-time batch Markovian arrival process (DBMAP). The …

We consider a batch arrival finite buffer single server queue with inter-batch arrival times are
generally distributed and arrivals occur in batches of random size. The service process is …