Publication:
Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process

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Authors
Taylor, James G.
Powers, Robert L.
Subjects
Deterministic Optimal Control
Markov-Chain Combat Model
Stochastic Optimal Control
Optimal Military Tactics,Optimal Fire Distribution Time-Sequential Decision Making
Lanchester Theory of Combat
Optimal Tactical Allocation
Advisors
Date of Issue
1977-04
Date
1977-04
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The structure of the optimal fire distribution policy obtained using a deterministic combat attrition model is compared with that for a stochastic one. The same optimal control problem for a homogeneous force in Lanchester combat against heterogeneous forces is studied using two different models for the combat dynamics (the usual deterministic Lanchester-type differential euqation formulation and a continuous parameter Markov chain with stationary transition probabilities). Both versions are solved using modern optimal control theory (the maximum principle (including the theory of state variable inequality constraints) for the deterministic control problem and the formalism of dynamic programming for the stochastic control problem). Numerical results have been generated using a digital computer and are compared. (Author)
Type
Technical Report
Description
Invited paper presented at International Symposium on Applications of Computers and Operations Research to Problems of World Concern held in Washington, D.C. in August 1973.
Series/Report No
Department
Identifiers
NPS Report Number
NPS55-77-18
Sponsors
Naval Analysis Programs (Code 431), Office of Naval Research and by the Foundation Research Program of the Naval Postgraduate School with funds provided by the Chief of Naval Research.
Funder
N0001477WR70044
Format
NA
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.
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