Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
Volume 6 | Issue -14
We examine a two-phase heterogeneous service facility queue in this research, considering server vacation, failure, and the recommended encouraged queue length distribution. We regard client reneging as a result of server vacation in our queuing system. Following this, we determined the steady-state solutions and examined the expected length of the encouraged queue and the expected waiting period for clients by using the supplementary variable approach. Using numerical examples, we presented the effect of encouraged client arrival on queue length and cost analysis.