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Markovian Queueing Systems

1997
We begin our study of queueing systems by considering some simple models in which customers arrive in a Poisson process at a rate λ(0 < λ < ∞) and are served by s customers (1 ≤ s < ∞) in parallel on a first come, first served basis, the service times of customers having the exponential density μe -μx (0 < x < ∞).
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Optimal assignments in a markovian queueing system

Computers & Operations Research, 1981
Abstract A generalization of the Hypercube queueing model for exponential queueing systems is presented which allows for distinguishable servers and multiple types of customers. Given costs associated with each server-customer pair, the determination of the assignment policy which minimizes time-averaged costs is formulated as a Markov decision ...
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Markovian Networks of Queues

1987
Networks of queues with priorities among job classes arise frequently as models for a wide variety of congestion phenomena. Simulation is usually the only available means for studying such networks. The underlying stochastic process of the simulation is defined in terms of a linear “job stack,” an enumeration by service center and job class of all the ...
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Markovian queueing models with periodic-review

Computers & Operations Research, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Tandem Queue with Blocking and Markovian Arrival Process

Queueing Systems, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Markovian Queues.

The Statistician, 1994
R. T. Wates, O. P. Sharma
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Queues with semi-Markovian arrivals

Journal of Applied Probability, 1967
A queueing system with a single server is considered. There are a finite number of types of customers, and the types of successive arrivals form a Markov chain. Further, the nth interarrival time has a distribution function which may depend on the types of the nth and the n–1th arrivals.
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Algorithms for Determination of Sample Sizes for Bayesian Estimations in Single-Server Markovian Queues

American Journal of Mathematical and Management Sciences, 2023
Frederico R B Cruz   +2 more
exaly  

Simple Markovian Queueing Systems

2008
Poisson arrivals and exponential service make queueing models Markovian that are easy to analyze and get useable results. Historically, these are also the models used in the early stages of queueing theory to help decision-making in the telephone industry.
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