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Transient solution of an M/G/1 queueing system with group arrivals and vacations to the server - MaRDI portal

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Transient solution of an M/G/1 queueing system with group arrivals and vacations to the server (Q1121605)

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scientific article; zbMATH DE number 4104154
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English
Transient solution of an M/G/1 queueing system with group arrivals and vacations to the server
scientific article; zbMATH DE number 4104154

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    Transient solution of an M/G/1 queueing system with group arrivals and vacations to the server (English)
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    1988
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    The paper deals with an infinite M/G/1 queue with group arrivals. When there are no customers to serve, the server goes on vacation for a random time. Using standard renewal theoretic arguments, the authors obtain, in principle, the system size probabilities and the probability distribution of the virtual waiting time.
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    renewal theoretic arguments
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    virtual waiting time
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