
In this chapter, we have considered a bulk service queueing model with removable serve. We have discussed a Markovian queueing system with a single server and units / customer serve in batches. The server is removed from the system as soon as the system becomes empty for a duration which is exponentially distributed randomly. We derive the time dependent solution of mean number of arrivals in the system or exactly ‘i’ customer arrive in the system. The study state solution is also discussed.