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math.PR2023
Joint Queue-Length Distribution for the Non-Preemptive Multi-Server Multi-Level Markovian Priority Queue
Josef Zuk, David Kirszenblat
Explicit results are obtained using simple and exact methods for the joint queue-length distribution of the M/M/c queue with an arbitrary number of non-preemptive priority levels.…
math.PR2023
Explicit Results for the Distributions of Queue Lengths for a Non-Preemptive Two-Level Priority Queue
Josef Zuk, David Kirszenblat
Explicit results are derived using simple and exact methods for the joint and marginal queue-length distributions for the M/M/c queue with two non-preemptive priority levels. Equal…
math.PR2023
Exact Results for the Distribution of the Partial Busy Period for a Multi-Server Queue
Josef Zuk, David Kirszenblat
Exact explicit results are derived for the distribution of the partial busy period of the M/M/c multi-server queue for a general number of servers. A rudimentary spectral method le…