Some Arrival Cases in Quorum Queues under N-Policy
Keywords:quorum queue, N-policy, first excess level theory, service batches, bulk input, marked delayed renewal process, delayed renewal process, point process, marked point process, random walk.
This paper examines quorum queueing systems with N-policy by considering different arrivals cases. In this model, the server is idle when the queue size is less than r; otherwise, it operates R units or less. The probability generating function of queue size derives precisely under various distributions of arrivals. The random walk is analyzed using the first excess level theory.