# Accession Number:

## ADA128903

# Title:

## Optimal Ship Positions for Naval Battle Group Defense Problems

# Descriptive Note:

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS

# Personal Author(s):

# Report Date:

## 1983-03-01

# Pagination or Media Count:

## 207.0

# Abstract:

This report presents an optimization model to maximize the survival probability of a carrier operating in a Battle Group BG environment given AAW anti-air warfare and ASW anti-sub warfare resources. The model is a static, probabilistic, two-dimensional representation. Developed are several probabilistic and parametric relationships, including 1 the probability that a ship kills a target 2 the optimum intercept distance 3 the effect of the ships distance to the carrier 4 the probability distributions of the targets, and 5 the survival probability of the carrier. The solution to the problem is the optimum location of the AAW and ASW ships with respect to the carrier those locations that maximize the probability of survival of the carrier, from the AAW and ASW threats.

# Descriptors:

- *MATHEMATICAL MODELS
- *ANTIAIRCRAFT DEFENSE SYSTEMS
- *ANTISUBMARINE WARFARE
- COMPUTER PROGRAMS
- DATA PROCESSING
- MILITARY STRATEGY
- OPTIMIZATION
- KILL PROBABILITIES
- SURVIVABILITY
- GAME THEORY
- INTERCEPTION PROBABILITIES
- PROBABILITY DISTRIBUTION FUNCTIONS
- INPUT OUTPUT PROCESSING
- OPERATIONAL EFFECTIVENESS
- THREAT EVALUATION
- NAVAL OPERATIONS
- OPERATIONS RESEARCH

# Subject Categories:

- Statistics and Probability
- Antiaircraft Defense Systems
- Naval Surface Warfare
- Undersea and Antisubmarine Warfare