The Resource Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor
Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor
Resource Information
The item Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.This item is available to borrow from all library branches.
Resource Information
The item Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Internet Archive - Open Library.
This item is available to borrow from all library branches.
- Summary
- The mathematical theory of deterministic optimal control/differential games is applied to the study of some tactical allocation problems for combat described by Lanchester-type equations of warfare. A solution procedure is devised for terminal control attrition games. H. K. Weiss' supporting weapon system game is solved and several extensions considered. A sequence of one-sided dynamic allocation problems is considered to study the dependence of optimal allocation policies on model form. The solution is developed for variable coefficient Lanchester-type equations when the ratio of attrition rates is constant. Several versions of Bellman's continuous stochastic gold-mining problem are solved by the Pontryagin maximum principle, and their relationship to the attrition problems is discussed. A new dynamic kill potential is developed. Several problems from continuous review deterministic inventory theory are solved by the maximum principle. (Author)
- Language
- eng
- Extent
- 1 online resource (201 pages
- Note
-
- Title from cover
- "19 June 1970"--Cover
- "NPS-55TW70062A"--Cover
- DTIC Identifiers: Optimal control, pontryagin maximum principle, control theory, game theory
- Author(s) subject terms: Differential games, tactical allocation, command control, military tactics, Lanchester theory of combat, dynamic kill potential, inventory theory
- Label
- Application of differential games to problems of military conflict : tactical allocation problems, Part I
- Title
- Application of differential games to problems of military conflict
- Title remainder
- tactical allocation problems, Part I
- Statement of responsibility
- by James G. Taylor
- Language
- eng
- Summary
- The mathematical theory of deterministic optimal control/differential games is applied to the study of some tactical allocation problems for combat described by Lanchester-type equations of warfare. A solution procedure is devised for terminal control attrition games. H. K. Weiss' supporting weapon system game is solved and several extensions considered. A sequence of one-sided dynamic allocation problems is considered to study the dependence of optimal allocation policies on model form. The solution is developed for variable coefficient Lanchester-type equations when the ratio of attrition rates is constant. Several versions of Bellman's continuous stochastic gold-mining problem are solved by the Pontryagin maximum principle, and their relationship to the attrition problems is discussed. A new dynamic kill potential is developed. Several problems from continuous review deterministic inventory theory are solved by the maximum principle. (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; March 30 1970 - June 19, 1970.
- Label
- Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor
- Note
-
- Title from cover
- "19 June 1970"--Cover
- "NPS-55TW70062A"--Cover
- DTIC Identifiers: Optimal control, pontryagin maximum principle, control theory, game theory
- Author(s) subject terms: Differential games, tactical allocation, command control, military tactics, Lanchester theory of combat, dynamic kill potential, inventory theory
- Bibliography note
- Includes bibliographical references (p. 192-197)
- Extent
- 1 online resource (201 pages
- 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)1039988382
- Label
- Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor
- Note
-
- Title from cover
- "19 June 1970"--Cover
- "NPS-55TW70062A"--Cover
- DTIC Identifiers: Optimal control, pontryagin maximum principle, control theory, game theory
- Author(s) subject terms: Differential games, tactical allocation, command control, military tactics, Lanchester theory of combat, dynamic kill potential, inventory theory
- Bibliography note
- Includes bibliographical references (p. 192-197)
- Extent
- 1 online resource (201 pages
- 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)1039988382
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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.archive.org/portal/Application-of-differential-games-to-problems-of/lhv8Xsf6HSU/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.archive.org/portal/Application-of-differential-games-to-problems-of/lhv8Xsf6HSU/">Application of differential games to problems of military conflict : tactical allocation problems, Part I, by James G. Taylor</a></span> - <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.archive.org/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.archive.org/">Internet Archive - Open Library</a></span></span></span></span></div>
