Evaluation of parallel processing systems with Erlang concurrent traffics using average concurrency

  • Authors:
  • Chanintorn Jittawiriyanukoon

  • Affiliations:
  • Department of Telecommunications Science, Faculty of Science & Technology, Assumption University, Bangkok, Thailand

  • Venue:
  • ACMOS'06 Proceedings of the 8th WSEAS international conference on Automatic control, modeling & simulation
  • Year:
  • 2006

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Abstract

This paper presents a queueing model to measure the performance of parallel processing systems (PPS) with Erlang distribution of concurrent traffics. Several methods have been proposed such as decomposition technique, which is applicable to only fixed concurrent traffics. On the other hand, this paper will propose an innovative approach considering a more practical set of concurrent traffics. They are both coming to the PPS and taking service in the PPS with the Erlang distribution. To avoid both the state space explosion and the calculation complexity, as practical concurrent traffics exist, the average concurrency (AVC) is determined which is the average of the overall concurrent traffics. The results apparently indicate that this proposed method can reduce the number of states from the exponential increment of power of N to the increment of power of average number of concurrent traffics. This results a faster computational achievement. For various examples, the before-and-after applying AVC method is compared by simulations. In addition, the computational cost is discussed.