The stochastic law of the busy period for a single-server queue with Poisson input

DOI10.1016/0022-247X(63)90089-1zbMath0117.36004OpenAlexW2021238517MaRDI QIDQ2626036

Lajos Takács

Publication date: 1963

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(63)90089-1

zbMATH Keywords

probability theory

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Cites Work

• Many server queueing processes with Poisson input and exponential service times
• Elementary methods for an occupancy problem of storage
• Investigation of waiting time problems by reduction to Markov processes
• A Moving Single Server Problem
• Imbedded Markov Chain Analysis of a Waiting-Line Process in Continuous Time
• Note on a Moving Single Server Problem
• Transient Behavior of Single-Server Queueing Processes With Erlang Input
• Transient Behavior of Single-Server Queuing Processes with Recurrent Input and Exponentially Distributed Service Times
• The Transient Behavior of a Single Server Queuing Process with Recurrent Input and Gamma Service Time
• The Probability Law of the Busy Period for Two Types of Queuing Processes
• A Generalization of the Ballot Problem and its Application in the Theory of Queues
• A Single-Server Queue with Recurrent Input and Exponentially Distributed Service Times
• A derivation of the Borel distribution
• A PROBLEM OF INTERFERENCE BETWEEN TWO QUEUES
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