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Multi-class Network with Phase Type Service Time and Group Deletion Signal

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Computer Performance Engineering (EPEW 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6977))

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Abstract

We consider networks with multiple classes of customers which receive service with a Phase type distribution. The service discipline is Last In First Out. We consider negative signal and a new type of signal: the group deletion signal. Negative signals eliminate a customer in service (if there are any) and group deletion signal delete all consecutive customers in the same class and same phase at the back-end of the buffer. We prove that the network has product form solution.

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Dao-Thi, TH., Fourneau, JM., Tran, MA. (2011). Multi-class Network with Phase Type Service Time and Group Deletion Signal. In: Thomas, N. (eds) Computer Performance Engineering. EPEW 2011. Lecture Notes in Computer Science, vol 6977. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24749-1_15

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  • DOI: https://doi.org/10.1007/978-3-642-24749-1_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24748-4

  • Online ISBN: 978-3-642-24749-1

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