Accession Number:

AD0276917

Title:

OPTIMAL SYNTHESIS OF AIR DEFENSE SYSTEMS IN TERMS OF MARKOV MODELS

Descriptive Note:

Corporate Author:

AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS

Personal Author(s):

• DI CESARE,FRANK

Report Date:

1962-05-21

Pagination or Media Count:

1.0

Abstract:

A Markov model considering the possible states of an aggressor in an air defense system is presented. This model considers an air defense system as consisting of two basic operations detection and neutralization. Two types of costs, construction and losses, are related by means of a total cost function. The criterion for optimization is the minimization of the total cost function with respect to the pertinent transition probabilities. Examples illustrating the synthesis for a basic system are given, using various cost functions and utilizing alternative techniques for optimization, i.e., factorial method, univariate method, and the method of steepest descent. The techniques and results of these preliminary investigations are evaluated and an example of the synthesis is illustrated, including those modifications shown to be necessary by the evaluation. The Markov model is extended to allow division of basic operations so as to form multiple lines of defense and an example illustrating the synthesis for a doubleline system is given. Author

Descriptors:

• *INTERCEPTION PROBABILITIES
• *OPERATIONS RESEARCH
• *STATISTICAL PROCESSES
• AIRCRAFT DEFENSE SYSTEMS
• CLEANING COMPOUNDS
• COSTS
• DAMAGE
• NEUTRALIZATION

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE