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A Tandem Queue with Coupled Processors

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Multiaccess, Reservations & Queues

Part of the book series: Philips Research Book Series ((PRBS,volume 10))

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Abstract

In this chapter we investigate the two-stage tandem queue with coupled processors, which has been suggested as a model for a reservation mechanism in Sect. 2.4. It is assumed that jobs arrive at the first station according to a Poisson process and require service at both stations before leaving the system. The amounts of work that a job requires at each of the stations are independent, exponentially distributed random variables. When both stations are nonempty, the total service capacity is shared between the stations according to fixed proportions. When one of the stations becomes empty, the total service capacity is given to the nonempty station.

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). A Tandem Queue with Coupled Processors. In: Multiaccess, Reservations & Queues. Philips Research Book Series, vol 10. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-69317-8_9

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  • DOI: https://doi.org/10.1007/978-3-540-69317-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-69316-1

  • Online ISBN: 978-3-540-69317-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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