Accession Number : AD0863325

Title :   On the Distribution of the Lead in a Chase.

Descriptive Note : Technical memo.,

Corporate Author : SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)

Personal Author(s) : Conolly, B.

Report Date : 01 JUN 1965

Pagination or Media Count : 21

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)

Descriptors :   *GAME THEORY), (*INTERCEPTION PROBABILITIES, TIME LAG THEORY), (*DISTRIBUTION FUNCTIONS, (*TIME LAG THEORY, PURSUIT COURSES), PROBABILITY, TABLES(DATA), COMPUTER PROGRAMMING, INTEGRAL EQUATIONS, ALGORITHMS, NUMERICAL ANALYSIS.

Subject Categories : Statistics and Probability
      Military Operations, Strategy and Tactics

Distribution Statement : APPROVED FOR PUBLIC RELEASE