Transient solution of an M/M/∞ queue with catastrophes
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Publication:5866086
DOI10.1080/03610926.2018.1477960OpenAlexW2898713139MaRDI QIDQ5866086
Publication date: 10 June 2022
Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03610926.2018.1477960
confluent hypergeometric functioncontinued fractionbreakdowncatastrophesdisastersM/M/\(\infty\) queueing modeltime dependent analysis
Queueing theory (aspects of probability theory) (60K25) Queues and service in operations research (90B22)
Cites Work
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- Stochastic decomposition in M/M/\({\infty}\) queues with Markov modulated service rates
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- Continued fractions with applications
- Transient solution of an M/M/1 queue with catastrophes
- On the M/M/1 queue with catastrophes and its continuous approximation
- An M/G/infinity queue with catastrophes
- Transient solution of a Markovian queuing model with heterogeneous servers and catastrophes
- Queues with system disasters and impatient customers when system is down
- AN M/M/1 QUEUE IN RANDOM ENVIRONMENT WITH DISASTERS
- Untold Horrors of the Waiting Room: What the Equilibrium Distribution Will Never Tell About the Queue-Length Process
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