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Queueing System With Potential For Recruiting Secondary Servers, Srinivas Chakravarthy, Alexander N. Dudin, Sergey A. Dudin, Olga S. Dudina

Industrial & Manufacturing Engineering Publications

In this paper, we consider a single server queueing system in which the arrivals occur according to a Markovian arrival process (MAP). The served customers may be recruited (or opted from those customers’ point of view) to act as secondary servers to provide services to the waiting customers. Such customers who are recruited to be servers are referred to as secondary servers. The service times of the main as well as that of the secondary servers are assumed to be exponentially distributed possibly with different parameters. Assuming that at most there can only be one secondary server at any given …