Multiple class G-networks with restart

  • Authors:
  • Jean-Michel Fourneau;Katinka Wolter;Philipp Reinecke;Tilman Krauß;Alexandra Danilkina

  • Affiliations:
  • Université de Versailles St Quentin, Versailles, France;Freie Universität, Berlin, Germany;Hewlett Packard Labs Bristol, Bristol, United Kingdom;Freie Universität Berlin, Berlin, Germany;Freie Universität, Berlin, Germany

  • Venue:
  • Proceedings of the 4th ACM/SPEC International Conference on Performance Engineering
  • Year:
  • 2013

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Abstract

Restart is a common technique for improving response-times in complex systems where the causes of delays can either not be discerned, or not be addressed by the user. With restart, the user aborts a running job that exceeds a deadline, and resubmits it to the system immediately. In many common scenarios, this approach can reduce the response-times that the user experiences. Restart has been well-studied for scenarios where only one user applies restart, and typically in cases where queueing effects can be neglected. In this paper we approach the question of restart in a scenario where restart is applied by many users in a system that can be modelled as an open queueing network. We apply the G-Networks formalism to this problem. We use negative customers to model the abortion and retry of a request. The open G-network uses multiple classes with phase-type distributed service times. This allows the approximation of a preemptive repeat different behaviour as it is natural for multiple restarts of a request. We compute the response time of a request and show that an optimal restart interval can be found. The results are compared with simulation.