collaborators

5 papers

eess.SY2024

A Queueing Model for the Ambulance Ramping Problem with an Offload Zone

Josef Zuk, David Kirszenblat

This work develops a methodology for studying the effect of an offload zone on the ambulance ramping problem using a multi-server, multi-class non-preemptive priority queueing mode…

math.PR2023

Analytic Approach to the Non-Preemptive Markovian Priority Queue

Josef Zuk, David Kirszenblat

Explicit and exact results are obtained for the joint queue-length distribution for the two-level non-preemptive Markovian priority queue. Marginal distributions are derived for th…

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…