A Method for Analyzing Survivability in the Context of a One-on-One Engagement

Abstract

We imagine a one-on-one engagement between two adversarial combat platforms, and we want to know who is victorious and who is not. The simple answer is that the victor lives while the vanquished dies. However, if our desire is meaningful analysis platform survivability, then this answer is insufficient. Our answer should reflect a more practical view of victory and defeat; one that illuminates the fate of each platform if we could repeatedly conduct this same engagement. Given that the current paradigm for platform survivability is layered survivability, we ask if there is a unified framework available with which to analyze the full range of survivability options layered survivability suggests. This paper proposes a framework built upon a mathematical construct called the stochastic duel. To construct our duel, we first consider one platform engaging a passive target and model that process via the techniques of renewal theory. From there, we model the one-on-one engagement as a series system, which allows us to apply the method of competing risks. With competing risk framework, we then derive a metric for the probability of survival. Finally, we extend this formalism to include survivability by relying on the concept of layered survivability.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 2003
Accession Number
ADA417026

Entities

People

  • Jeffrey A. Smith

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Biomedical
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acquisition
  • Computer Simulations
  • Department Of Defense
  • Detection
  • Distribution Functions
  • Equations
  • Mathematical Models
  • Mathematics
  • Military Operations
  • Military Research
  • Models
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Stochastic Processes
  • Survival

Fields of Study

  • Computer science

Readers

  • Distributed Systems and Data Platform Development
  • Educational Psychology
  • Military History / Militaries and War Studies