On the Distribution of the Lead in a Chase.

Abstract

In a recent series of tactical studies a problem arose which can be described in the following terms. A runner P moves with constant speed along a straight line. At negative, exponentially-distributed time intervals the position of P is communicated to a second runner S who then tries to reach that position. Interest centres on the lead that P has over S at the instants when information is given to S. This memorandum is devoted to the derivation of the probability distribution of the lead. Some numerical tables are appended. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1965
Accession Number
AD0863325

Entities

People

  • B. Conolly

Organizations

  • SACLANT ASW Research Centre

Tags

DTIC Thesaurus Topics

  • Intervals
  • Mathematics
  • Probability
  • Probability Distributions
  • Time Intervals

Fields of Study

  • Mathematics

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