A mathematical analysis of tactics in a riverine ambush
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Authors
Dieu, Nguyen Dinh
Subjects
Ambush
Military tactics
Games of strategy
Decision theory
Dynamic combat model
Stochastic model
Stochastic duel
Military tactics
Games of strategy
Decision theory
Dynamic combat model
Stochastic model
Stochastic duel
Advisors
Taylor, James G.
Date of Issue
1972-09
Date
September 1972
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
This thesis examines different strategies for a patrol boat in a riverine ambush before and after the ambush. Mathematical models employing concepts from games of strategy and statistical decision theory are used to study optimal tactics for the patrol boat before the ambush. A matrix game with the payoff a function of combat outcomes and combatant utility functions is used to study the optimal tactics for the boat and the ambushers. Using concepts of the statistical decision theory, various principles of choice are used to choose the appropriate decisions among all courses of action for the patrol boat. Several combat models are used to investigate the patrol boat's tactics after the ambush has commenced. A deterministic Lanchester-type model with lethalities of fires that very linearly with range is used to determine the casualty ratio between the two opponents. A stochastic model with constant attrition rates is used to calculate part of the probability distribution of the number of combattants alive at time t after the initiation of the ambush. Finally, a stochastic duel with displacement is used to determine the probability that one side would win in the ambush.
Type
Thesis
Description
Series/Report No
Department
Department of Operations Analysis
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funder
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
Copyright is reserved by the copyright owner