A Two-Server Bulk Service Queuing Model with a Permanent Server and a Temporary Server on Hold

Abstract

In this paper, we consider a bulk service queuing model with a fixed bulk size and a single permanent server. An additional server is kept on hold and is allowed to serve when the queue length exceeds certain threshold value. The model is analyzed using embedded Markov chain. A comparison of the performance of the model with the following models have also been made – (i) two-server bulk service model, (ii) bulk service model with two independent queues corresponding to two servers and (iii) a single-server bulk service model with double service capacity of the server.