Accession Number : AD0600566


Title :   SOME PROBLEMS INVOLVING CIRCULAR AND SPHERICAL TARGETS


Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WA


Personal Author(s) : Marsaglia, George


Full Text : http://www.dtic.mil/get-tr-doc/pdf?AD= AD0600566


Report Date : Apr 1964


Pagination or Media Count : 19


Abstract : This article is concerned with some problems which occur in certain tactical considerations: how should one place k circles (spheres) in the plane (3-space) so that their union has the greatest standard normal probability measure, that is, so as to maximize the probability that a random normal point will fall in one or more of the circles (spheres). For k 3 the problem seems hopeless, (except for certain special situations); the case for k = 3 is still unresolved and is being worked on by a number of investigators, and the case for k = 2 is solved completely in this paper. The results for k = 2 have some practical value when applied to actual problems arising in tactical considerations, and some theoretical value, as a method of attacking the problem for k 3.


Descriptors :   *PROBABILITY , *TACTICAL WEAPONS , *TARGETS , MEASURE THEORY , OPERATIONS RESEARCH , SPHERES


Subject Categories : Administration and Management


Distribution Statement : APPROVED FOR PUBLIC RELEASE