The M/M/1 Queue with Randomly Varying Arrival and Service Rates: A Phase Substitution Solution

DOI10.1287/mnsc.35.5.561zbMath0668.60089OpenAlexW2014391308MaRDI QIDQ3821397

Edward P. C. Kao, Chiunsin Lin

Publication date: 1989

Published in: Management Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1287/mnsc.35.5.561

zbMATH Keywords

state reduction methodcomputational requirementscomputing effort

Mathematics Subject Classification ID

Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22) Probabilistic methods, stochastic differential equations (65C99)

Related Items (3)

\(\mathrm{M}/\mathrm{M}/1\) queue in two alternating environments and its heavy traffic approximation ⋮ Using state reduction for computing steady state vectors in Markov chains of \(M/G/1\) type ⋮ Optimizing steady state Markov chains by state reduction

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