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Approximate MVA algorithms for separable queueing networks are based upon an iterative solution of a set of modified MVA formulas. Although each iteration has a computational time requirement of O(MK 2 ) or less, many iterations are typically needed for convergence to a solution. ( M denotes the number of queues and K the number of closed chains or customer classes.) We present some faster approximate solution algorithms that are noniterative . They are suitable for the analysis and design of communication networks which may require tens to hundreds, perhaps thousands, of closed chains to model flow-controlled virtual channels. Three PAM algorithms of increasing accuracy are presented. Two of them have time and space requirements of O(MK) . The third algorithm has a time requirement of O(MK 2 ) and a space requirement of O(MK) .

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PAM-a noniterative approximate solution method for closed multichain queueing networks

Hsieh, C.-H.; Lam, S. S.
ACM SIGMETRICS Performance Evaluation Review , Volume 16 (1)
Association for Computing MachineryMay 1, 1988

More Info

  • Publisher Association for Computing Machinery
  • Copyright The ACM Portal is published by the Association for Computing Machinery. Copyright © 2010 ACM, Inc.
  • Subject Distributed databases
  • ISSN 0163-5999
  • D.O.I. 10.1145/1007771.55625
  • Publisher site Get PDF  

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