Sequential Processing Machines (S.P.M) Analyzed With a Queuing Theory Model

  • Authors:
  • Leonard Kleinrock

  • Affiliations:
  • University of California, Los Angeles, California

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1966

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Abstract

Results are obtained for a model of many processors operating in series. The results are obtained directly by recognizing that a sequential processing may be viewed as a cyclic queue. Exact results are given for two sequential processing stages with a buffer storage of arbitrary size between the stages, and approximate results for the case of 2M (M an integer) stages. The analysis is good only for exponentially distributed computation times.