Accession Number : AD0778803

Title :   Engagement Probabilities for Constant Engagement Time Defensive Systems.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON 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