This paper analyzes a finite-buffer multiserver bulk-service queueing system in which the interarrival and service times are, respectively, arbitrarily and exponentially distributed. Using the supplementary variable and the imbedded Markov chain techniques, we obtain the queue-length distributions at prearrival and arbitrary epochs. We also present Laplace-Stiltjes transform of the actual waiting-time distribution in the queue. Finally, several performance measures and a variety of numerical results in the form of tables and graphs are discussed. © 2007 Elsevier Inc. All rights reserved.
Goswami, V., Samanta, S. K., Vijaya Laxmi, P., & Gupta, U. C. (2008). Analyzing a multiserver bulk-service finite-buffer queue. Applied Mathematical Modelling, 32(9), 1797–1812. https://doi.org/10.1016/j.apm.2007.06.017