Simple spectral representations for the M/M/1 queue

DOI10.1007/BF01157854zbMath0671.60083OpenAlexW2056185730WikidataQ29041720 ScholiaQ29041720MaRDI QIDQ1119280

Ward Whitt, Joseph Abate

Publication date: 1988

Published in: Queueing Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01157854

zbMATH Keywords

transient behaviourspectral representation of queue characteristics

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)

Related Items

Birth-death processes and associated polynomials., SCALING PROPERTIES OF QUEUES WITH TIME-VARYING LOAD PROCESSES: EXTENSIONS AND APPLICATIONS, Computing transient performance measures for the \(M/M/1\) queue, The infinite server queue and heuristic approximations to the multi-server queue with and without retrials, The Fourier-series method for inverting transforms of probability distributions, Analysis of \(N\)-policy queues with disastrous breakdown, Limits and Approximations for the Busy-Period Distribution in Single-Server Queues, Spectral Theory for Skip-Free Markov Chains, Decomposition of the M/M/1 transition function

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