Analytic approach to the non-pre-emptive Markovian priority queue

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Jump processes on discrete state spaces (60J74)

Cites Work

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Exact tail asymptotics in a priority queue -- characterizations of the non-preemptive model
Many server queueing processes with Poisson input and exponential service times
Integral and series representations of the Dirac delta function
A distributional form of Little's law
Scheduling for a multifunction phased array radar system
Asymptotics for M/G/1 low-priority waiting-time tail probabilities
On an extension to functions of two variables of the problem of Riemann relative to hypergeometric functions.
A Markovian queueing model for ambulance offload delays
The Exponentially Convergent Trapezoidal Rule
Waiting Times in the Non-Preemptive Priority M/M/c Queue
Analysis of a non-preemptive priority multiserver queue
Waiting Time In a Multi-Server Cutoff-Priority Queue, and Its Application to an Urban Ambulance Service
Distribution of Quadratic Forms in Normal Random Variables—Evaluation by Numerical Integration
Computing Steady-State Probabilities of a Nonpreemptive Priority Multiserver Queue
Multiclass Queueing Systems in Heavy Traffic: An Asymptotic Approach Based on Distributional and Conservation Laws
Fundamentals of Queueing Theory
The Distributional Little's Law and Its Applications
Waiting-Time Distribution of a Multi-Server, Priority Queuing System
Letter to the Editor—Waiting Line Subject to Priorities
Estimation of errors of Gauss-Chebyshev quadratures
XXVI.—Some Confluent Hypergeometric Functions of Two Variables
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

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