A Resource Conflict Resolution Problem Formulated in Continuous Time.

Abstract

In many situations involving data transmission from diverse sources there can be conflict for a limited number of channels or other facilities. Uncoordinated attempts by several sources to use a single facility can result in collision, the destruction of all participants in the collision, meaning the loss of the transmission, and hence the need for re-transmission. An important problem concerns the development of workable procedures for alleviating the conflict and corresponding message delay problems. Often such problems are viewed as occurring in discrete time: slots of equal length occur in temporal succession, and each slot can handle just one packet of data at a time, if two or more packets try to use the same slot simultaneously, a collision occurs that somehow must be resolved. A recent paper analyzed a stack protocol for handling such a situation, but there are many other proposals. This report is concerned with some simple models for a single facility (channel), and for contention or conflict resolution. The models are formulated in a continuous-time manner: messages, or numbers of packets constituting messages, are long, meaning that they occupy many consecutive slots on the average if a single transmission is occurring. Additional keywords: Queueing theory; Congestion theory; ALOHA; Communications traffic.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1985
Accession Number
ADA159675

Entities

People

  • A. Weiss
  • Donald P. Gaver
  • G. Fayolle

Organizations

  • Naval Postgraduate School

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Communities of Interest

  • Biomedical
  • Materials and Manufacturing Processes

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  • California
  • Communication Systems
  • Data Transmission
  • Differential Equations
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  • Kolmogorov Equations
  • Mathematics
  • Military Research
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  • Plastic Explosives
  • Probability
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  • Telephone Systems
  • Universities

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  • Computer Networking
  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design