Two-Dimensional Collision in Parallel Paths

Celso de Renna e Souza
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Celso de Renna e Souza: University of Notre Dame, Notre Dame, Indiana

Operations Research, 1967, vol. 15, issue 1, 32-38

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.

Date: 1967
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Persistent link: https://EconPapers.repec.org/RePEc:inm:oropre:v:15:y:1967:i:1:p:32-38

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