Engagement Probabilities for Constant Engagement Time Defensive Systems.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- AD0778803
Entities
People
- George Wilbur Tiller
Organizations
- Air Force Institute of Technology