Transient Analysis of the M/M/k/N/N Queue using a Continuous Time Homogeneous Markov System with Finite State Size Capacity

DOI10.1080/03610926.2013.776083zbMath1290.90032OpenAlexW1990427193MaRDI QIDQ5419665

George Vasiliadis

Publication date: 11 June 2014

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.776083

zbMATH Keywords

stochastic population systemscontinuous time homogeneous Markov modelsfinite-source queue

Mathematics Subject Classification ID

Queues and service in operations research (90B22) Manpower systems in sociology (91D35) Statistical distribution theory (62E99)

Related Items (4)

Introduction, analysis and asymptotic behavior of a multi-level manpower planning model in a continuous time setting under potential department contraction ⋮ Transient analysis of an M/M/c queuing system with balking and retention of reneging customers ⋮ Analysis of \(N\)-policy queues with disastrous breakdown ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Evolution of a time dependent Markov model for training and recruitment decisions in manpower planning
• Transient analysis of a queue with system disasters and customer impatience
• On the distributions of the state sizes of closed continuous time homogeneous Markov systems
• Asymptotic variability of nonhomogeneous Markov systems under cyclic behaviour
• Transient behavior of the M/M/1 queue: Starting at the origin
• Transient behaviour of an M/M/1/N queue
• Discrete-time approximation of the machine interference problem with generally distributed failure, repair, and walking times
• Modeling of continuous time homogeneous Markov system with fixed size as elastic solid: The two-dimensional case
• An \(M/PH/k\) retrial queue with finite number of sources
• On the distributions of the state sizes of the continuous time homogeneous Markov system with finite state capacities
• The size order of the state vector of discrete-time homogeneous Markov systems
• Using a Markov reward model to estimate spend-down costs for a geriatric department
• Cyclic behaviour and asymptotic stability of non-homogeneous Markov systems
• Variances and covariances of the grade sizes in manpower systems
• Asymptotic periodicity of the variances and covariances of the state sizes in non-homogeneous Markov systems
• Asymptotic behavior of Markov systems
• The evolution of the theory of non-homogeneous Markov systems
• The evolution of the attainable structures of a homogeneous Markov system by fixed size
• Control of asymptotic variability in non-homogeneous Markov systems

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