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This document describes a queueing system with a server providing two types of service subject to random breakdowns and taking multiple vacations. Customers arrive in batches and each customer chooses one of the two service types. The server takes a vacation when the system is empty and may take multiple vacations if still empty upon return. The paper analyzes this system to find the probability generating function and mean number of customers in the queue and system.

Author

ebenesarb

Language

EN