A golden ratio control policy for a multiple-access channel

@article{Itai1984AGR,
  title={A golden ratio control policy for a multiple-access channel},
  author={Alon Itai and Zvi Rosberg},
  journal={IEEE Transactions on Automatic Control},
  year={1984},
  volume={29},
  pages={712-718}
}
  • A. Itai, Z. Rosberg
  • Published 1 August 1984
  • Computer Science
  • IEEE Transactions on Automatic Control
Consider n stations sharing a single communications channel. Each station has a buffer of length one. If the arrival rate of station i is r i , 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… Expand
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References

SHOWING 1-9 OF 9 REFERENCES
Decentralized control in packet switched satellite communication
TLDR
The problem of access control to a packet switched multi-access satellite broadcast channel is considered in the framework of nonclassical control theory and it is shown that randomized decisions will not be necessary. Expand
Optimal decentralized control in a multiaccess channel with partial information
TLDR
A simple open-loop control policy is shown to be optimal for the long-run average throughput criterion for two transmission stations sharing a single communication channel. Expand
Fixed Assignment Access Technique
In this paper, two implementations of the fixed assignment technique are examined for time sharing either a satellite or terrestrial channel among the users of a data communication system. In fixedExpand
Decentralized control in packet switched satellite communication
TLDR
The model introduced by Schoute is analyzed using a minimum principle for decentralized stochastic control for certain values of the input message rates p and number N of transmitting stations and the true optimal control is shown to be open loop for N = 2. Expand
Sufficient statistics in the optimum control of stochastic systems
The search for a sufficient statistic is primarily a problem of data reduction. When a great deal of data is available, it must somehow be summarized in such a way that no valuable information isExpand
Service in a Loop System
TLDR
Two related measures of the grade of service are considered: the average queue length and the average v i r tua l wai t ing t ime at each s ta t ion. Expand
Performance Issues in Back-End Storage Networks
A back-end storage network allows heterogeneous mainframes and devices to share resources, unhampered by hardware compatibility requirements. This flexibility has implications for the network'sExpand
SeMce in a loop system
  • 1973