Computational analysis of a multi-server bulk arrival with two modes server breakdown

Abstract

An extensive Monte Carlo study is performed to analyze a multi-server, bulk arrival $(M^{[x]}/M/C; C-1/FCFS)$ queuing system. The system breakdown limits the system to serve with either C or (C-l) servers. The server breakdown has equal chance over all servers in the system while the arrival process is a Poisson process and the distribution of the bulk size X is a positive Poisson bulk size. Measures of system efficiency including mean queue length, mean waiting time, and blocking probability are introduced. Numerical results are obtained by simulation of the entire system.