Multi-class network with phase type service time and group deletion signal

  • Authors:
  • Thu-Ha Dao-Thi;Jean-Michel Fourneau;Minh-Anh Tran

  • Affiliations:
  • PRiSM, Université de Versailles St-Quentin, CNRS, UniverSud Paris, Versailles, France;PRiSM, Université de Versailles St-Quentin, CNRS, UniverSud Paris, Versailles, France;Université de Paris Est Créteil, France

  • Venue:
  • EPEW'11 Proceedings of the 8th European conference on Computer Performance Engineering
  • Year:
  • 2011

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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.