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Study of a two-stage queueing system with losses due to connecting the first stage and an unreliable server - MaRDI portal

Study of a two-stage queueing system with losses due to connecting the first stage and an unreliable server (Q759634)

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scientific article; zbMATH DE number 3882176
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English
Study of a two-stage queueing system with losses due to connecting the first stage and an unreliable server
scientific article; zbMATH DE number 3882176

    Statements

    Study of a two-stage queueing system with losses due to connecting the first stage and an unreliable server (English)
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    1984
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    A two-stage queuing system is considered that simulates the record of interaction between a connected processor and a central computer in automated queuing systems. The following functions are obtained in terms of the Laplace transform: the generating distribution function of the number of calls in the stages, the distribution of the busy period and of the server call-unloading interval, and the generating distribution function of the number of calls during the busy period. Formulas are obtained for the first moments of these distributions.
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    unreliable server
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    two-stage queuing system
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    central computer
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    Laplace transform
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    generating distribution function
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    busy period
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    first moments
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