• DocumentCode
    845723
  • Title

    A golden ratio control policy for a multiple-access channel

  • Author

    Itai, Alon ; Rosberg, Zvi

  • Author_Institution
    Technion-Israel Institute of Technology, Haifa, Israel
  • Volume
    29
  • Issue
    8
  • fYear
    1984
  • fDate
    8/1/1984 12:00:00 AM
  • Firstpage
    712
  • Lastpage
    718
  • Abstract
    Consider n stations sharing a single communications channel. Each station has a buffer of length one. If the arrival rate of station i is ri, then 1-\\Pi _{i}(1- r_{i}) is shown to be an upper bound (over all policies) on the throughput of the channel. Moreover, an optimal policy always exists and is stationary and periodic. The throughput of two policies, the random-policy, and the golden-ratio policy, are analyzed for a finite and infinite number of stations. The latter is shown to approach a limit which is within at least 98.4 percent of the upper bound.
  • Keywords
    Buffered communications; Multiaccess communication; Optimal stochastic control; Stochastic optimal control; Buffer storage; Communication channels; Communication system control; Computer science; Delay; Optimal control; Permission; Stochastic processes; Throughput; Upper bound;
  • fLanguage
    English
  • Journal_Title
    Automatic Control, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9286
  • Type

    jour

  • DOI
    10.1109/TAC.1984.1103619
  • Filename
    1103619