Bounds on the Delay Distribution in GI/G/1 Queues

Abstract

Bounds are obtained for the limiting distribution of the delay in queue for a GI/G/1 system via Martingale theory. These bounds are somewhat stronger than similar bounds recently obtained by Kingman. Simplifications of the bounds are obtained in the special cases where the service distribution is either IFR, DFR, NBU or NWU.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0756668

Entities

People

  • Sheldon M. Ross

Organizations

  • University of California, Berkeley

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Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.