Many server queueing processes with Poisson input and exponential service times

From MaRDI portal
Publication:771912

DOI10.2140/pjm.1958.8.87zbMath0091.13803OpenAlexW2087491571MaRDI QIDQ771912

James McGregor, Samuel Karlin

Publication date: 1958

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1958.8.87



Related Items

Birth-death processes and associated polynomials., On associated polynomials and decay rates for birth--death processes., Some bivariate stochastic models arising from group representation theory, Transient solutions for multi-server queues with finite buffers, The stochastic law of the busy period for a single-server queue with Poisson input, A class of nonsymmetric orthogonal polynomials, The variation of zeros of certain orthogonal polynomials, Spectral analysis of bilateral birth–death processes: some new explicit examples, Transient solutions for multidimensional denumerable state Markov processes, A Discrete Charlier Series Distribution, Simple spectral representations for the M/M/1 queue, On the rate of convergence to stationarity of the M/M/\(n\) queue in the Halfin-Whitt regime, Transient analysis of the Erlang A model, A new formula for the busy period of a non-empty multiserver queueing system, Rate of convergence to stationarity of the system \( M / M / N / N + R \), Mean convergence of orthogonal series and Lagrange interpolation, Transition probabilities for general birth-death processes with applications in ecology, genetics, and evolution, A survey of queueing theory, Asymptotics for the ratio and the zeros of multiple Charlier polynomials, Asymptotics for the ratio and the zeros of multiple Charlier polynomials, Hitting time in Erlang loss systems with moving boundaries, Zeros of classical orthogonal polynomials of a discrete variable, Birth and Death (BDP) Process Models with Applications, The transient solution to a class of Markovian queues, Algorithms for Markov stochastic models, Transient behavior of the Halfin-Whitt diffusion, Ted Chihara and his work on orthogonal polynomials, 45 years of orthogonal polynomials: A view from the wings, Robust transient analysis of multi-server queueing systems and feed-forward networks, The busy period of an \(\mathrm{M}/\mathrm{M}/1\) queue with balking and reneging, Asymptotic expansion of the Tricomi-Carlitz polynomials and their zeros, The rate of convergence to stationarity forM/G/1 models with admission controls via coupling, Perturbation analysis of an \(M/M/1\) queue in a diffusion random environment, The age of a Markov process, Uniform asymptotics for discrete orthogonal polynomials on infinite nodes with an accumulation point, On exponential ergodicity and spectral structure for birth-death processes. I, On exponential ergodicity and spectral structure for birth-death processes. II, Spectral gap of the Erlang A model in the Halfin-Whitt regime, Orthogonal polynomials suggested by a queueing model, Analysis of random walks using orthogonal polynomials, A symmetric generalization of Sturm–Liouville problems in discrete spaces, Krylov complexity and orthogonal polynomials, On the transition of Charlier polynomials to the Hermite function, The moving-eigenvalue method: hitting time for Itô processes and moving boundaries, Orthogonal polynomials - Constructive theory and applications