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Two-Dimensional Collision in Parallel Paths

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  • Celso de Renna e Souza

    (University of Notre Dame, Notre Dame, Indiana)

Abstract

A particular case of “blind approach” is considered: that in which two vehicles travel with different speeds along parallel mean paths in a two-dimensional region. It is shown that the problem of calculating the probability of safe passage can be put in the form of equivalent zero-crossing problems for stationary, nonzero mean random processes, within a relatively long record. A lower bound for the probability of absence of zero-crossings is given in the form of a finite sum and some arguments on convergence are discussed.

Suggested Citation

  • Celso de Renna e Souza, 1967. "Two-Dimensional Collision in Parallel Paths," Operations Research, INFORMS, vol. 15(1), pages 32-38, February.
  • Handle: RePEc:inm:oropre:v:15:y:1967:i:1:p:32-38
    DOI: 10.1287/opre.15.1.32
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