
Accession Number : AD0778803
Title : Engagement Probabilities for Constant Engagement Time Defensive Systems.
Descriptive Note : Master's thesis,
Corporate Author : AIR FORCE INST OF TECH WRIGHTPATTERSON AFB OHIO SCHOOL OF ENGINEERING
Personal Author(s) : Tiller,George Wilbur
Report Date : MAR 1974
Pagination or Media Count : 56
Abstract : A defensive system with a fixed time of engagement is attacked by a force of M penetrators each of which is vulnerable to the defense for the same amount of time. Given that the penetrators arrive randomly in a total battle time T, the expected number of engagements is computed in closed form. The problem is recognized as a finite waiting room queue; a limiting procedure is used to transform the process into one in which queueing theory is applicable (Geom/D/1 with waiting room size k is the basic model derived). The stationary distribution of queue size is used to compute the expected fraction of engagements. This is shown to be a function of the density of the attack and the instantaneous capacity of the defensive system. The behavior of this function is then thoroughly explored. (Modified author abstract)
Descriptors : *Defense systems, *Queueing theory, Weapon systems, Stochastic processes, Kill probabilities, Estimates, Probability density functions, Theses
Subject Categories : Operations Research
Distribution Statement : APPROVED FOR PUBLIC RELEASE