Asymptotic Expansions for Large Closed Queueing Networks with Multiple Job Classes

  title={Asymptotic Expansions for Large Closed Queueing Networks with Multiple Job Classes},
  author={Charles Knessl and Charles Tier},
  journal={IEEE Trans. Computers},
We consider a closed BCMP queueing network consisting of R job classes (chains), I< + 1 single server, fixed rate nodes, and M, class J jobs ( j = 1.2 . . . . . E ) . Asymptotic expansions are constructed for the partition function under the assumptions 1) li >> 1, 2) -21, >> 1 for each J , and 3) Ii/L21, = O( 1). We also give analytic expressions for performance measures such as the mean queue length. Our approach employs the ray method and the method of matched asymptotic expansions… CONTINUE READING
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