The Resource Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process, by James G. Taylor and Robert L. Powers

Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process, by James G. Taylor and Robert L. Powers

Label
Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process
Title
Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process
Statement of responsibility
by James G. Taylor and Robert L. Powers
Creator
Contributor
Subject
Language
eng
Summary
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)
Cataloging source
AD#
http://library.link/vocab/creatorName
Taylor, James G
Government publication
federal national government publication
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • technical reports
http://library.link/vocab/relatedWorkOrContributorName
  • Powers, Robert Lawrence
  • Naval Postgraduate School (U.S.)
http://library.link/vocab/subjectName
  • Fire control (Gunnery)
  • Combat
  • Games of strategy (Mathematics)
  • Stochastic processes
  • Mathematical optimization
Type of report
Technical report; 1977.
Label
Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process, by James G. Taylor and Robert L. Powers
Link
Instantiates
Publication
Note
  • Title from cover
  • "Prepared for: Office of Naval Research"--Cover
  • "April 1977"--Cover
  • "NPS-55-77-18"--Cover
  • Author(s) subject terms: Deterministic optimal control, stochastic optimal control, optimal fire distribution, Lanchester theory of combat, Markov-Chain combat model, optimal military tactics, time-sequential decision making, optimal tactical allocation
Bibliography note
Includes bibliographical references (p. 53-56)
Extent
1 online resource (58 pages)
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Specific material designation
remote
Label
Comparison of a deterministic and a stochastic formulation for the optimal control of a Lanchester-type attrition process, by James G. Taylor and Robert L. Powers
Link
Publication
Note
  • Title from cover
  • "Prepared for: Office of Naval Research"--Cover
  • "April 1977"--Cover
  • "NPS-55-77-18"--Cover
  • Author(s) subject terms: Deterministic optimal control, stochastic optimal control, optimal fire distribution, Lanchester theory of combat, Markov-Chain combat model, optimal military tactics, time-sequential decision making, optimal tactical allocation
Bibliography note
Includes bibliographical references (p. 53-56)
Extent
1 online resource (58 pages)
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Specific material designation
remote

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