The Resource Application of differential games to problems of military conflict : tactical allocation problems, Part II, by James G. Taylor

Application of differential games to problems of military conflict : tactical allocation problems, Part II, by James G. Taylor

Label
Application of differential games to problems of military conflict : tactical allocation problems, Part II
Title
Application of differential games to problems of military conflict
Title remainder
tactical allocation problems, Part II
Statement of responsibility
by James G. Taylor
Creator
Contributor
Subject
Language
eng
Summary
The mathematical theory of optimal control/differential games is used to study the structure of optimal allocation policies for some tactical allocation problems with combat described by Lanchester-type equations of warfare. Both deterministic and stochastic attrition processes are considered. For the optimal control of deterministic Lanchester-type attrition process, a general solution algorithm for the synthesis of the optimal policy is developed. Optimal allocation policies are developed for numerous one-sided optimization problems of tactical interest in order to study the dependence of the structure of these optimal policies on model form. Consideration has been given to singular extremals, multiple extremals (including dispersal surfaces), and state variable inequality constraints. It is shown how to apply the theory of state variable inequality constraints to determine the optimal control of deterministic Lanchester-type processes in order to treat non-negativity restrictions on force levels and thus to study the dependence of optimal policies upon the force levels. Various attrition models are considered (reflecting different assumptions as to target acquisition process, command and control capabilities, target engagement process, variations in range capabilities of weapon systems). Solutions are developed for Lanchester-type equations of modern warfare with variable attrition-rate coefficients. The optimal control of the Lanchester stochastic process is studied. (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
Naval Postgraduate School (U.S.)
http://library.link/vocab/subjectName
  • Naval tactics
  • Games of strategy (Mathematics)
Type of report
Technical report; 1972.
Label
Application of differential games to problems of military conflict : tactical allocation problems, Part II, by James G. Taylor
Link
Instantiates
Publication
Note
  • Title from cover
  • "Research sponsored by Naval Analysis Programs, Office of Naval Research under ONR Project Order P02-0150 and Task Number NR 276-039" -- Cover
  • "November 1972"--Cover
  • "NPS-55TW72111A"--Cover
  • DTIC Descriptors: Allocation models, automatic, control, control theory, game theory
  • Author(s) key words: Optimal control theory, tactical allocation, command control, military tactics, Lanchester theory of combat, Lanchester deterministic process, Lanchester stochastic process, optimal distribution of fire, tactical air war campaign
Bibliography note
Includes bibliographical references
Extent
1 online resource (1 v. (various pagings)
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote
System control number
(OCoLC)1039949076
Label
Application of differential games to problems of military conflict : tactical allocation problems, Part II, by James G. Taylor
Link
Publication
Note
  • Title from cover
  • "Research sponsored by Naval Analysis Programs, Office of Naval Research under ONR Project Order P02-0150 and Task Number NR 276-039" -- Cover
  • "November 1972"--Cover
  • "NPS-55TW72111A"--Cover
  • DTIC Descriptors: Allocation models, automatic, control, control theory, game theory
  • Author(s) key words: Optimal control theory, tactical allocation, command control, military tactics, Lanchester theory of combat, Lanchester deterministic process, Lanchester stochastic process, optimal distribution of fire, tactical air war campaign
Bibliography note
Includes bibliographical references
Extent
1 online resource (1 v. (various pagings)
Form of item
online
Governing access note
"Approved for public release; distribution unlimited"--Cover
Other physical details
illustrations)
Specific material designation
remote
System control number
(OCoLC)1039949076

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