On the number of customers lost in a finite state-dependent queue.

DOI10.1007/BF03398530zbMath1141.60380OpenAlexW2772503358MaRDI QIDQ2468561

William J. Gray, MecKinley Scott, Pu Patrick Wang

Publication date: 25 January 2008

Published in: Opsearch (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03398530

Mathematics Subject Classification ID

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

Cites Work

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• Decomposition of the M/M/1 transition function
• The transient solution to a class of Markovian queues
• Markov chain models - rarity and exponentiality
• First-passage-time and busy-period distributions of discrete-time Markovian queues: \(\text{Geom}(n)/\text{Geom}(n)/1/N\)
• On the transient behavior of a finite birth-death process with an application
• Approximating Transition Probabilities and Mean Occupation Times in Continuous-Time Markov Chains

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