Lanchester-Type Models of Warfare, Volume I

The Twentieth Century has been characterized by innumerable attempts to use the Scientific Method as a basis for policy planning in national and international affairs. The emergence of the field of operations research (OR) out of attempts of scientists in the Western Democracies to apply the Scientific Method to military problems during World War II is well known. Since World War II there has been a dramatic growth in both the interest in and use of OR and systems-analysis techniques for such purposes within the U.S. defense establish- ment, especially since the beginning of the so-called McNamara Era of defense planning. A concomitant trend has been an equally dramatic increase in both the number and variety of mathematical models used to support these analytical activities

Error bounds for the Liouville-Green approximation to initial-value problems

New error bounds are developed for the Liouville-Green approximation to the solution of an important class of differential equations arising in military operations research (specifically, variable-coefficient Lanchester-type equations of modern warfare for combat between two homogeneous forces). In contrast to many previous results, our error bounds apply to initial-value problems and are expressed in terms of initial conditions. Previous error bounds for boundary-value problems are sharpened as a consequence of our development of these new error bounds for initial-value problems. Finally, applications are made to some important specific models of combat between two homogeneous forces with time-dependent attrition-rate coefficients. (Author)supported jointly by 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 Researchhttp://archive.org/details/errorboundsforli00taylN0001477WR70044N

Nation-Building Modeling and Resource Allocation Via Dynamic Programming

Dynamic programming is used in many military and industrial applications to solve sequential decision making problems. This research proposes the development of a model and approach to address the application of dynamic programming in nation-building modeling. Through the creation of component indices to capture the state of operational variables: Political, Military, Economic, Social, Infrastructure, and Information (PMESII), a functional form of a system of differential equations is developed to account for the interactions between the state indices and instruments of national power: Diplomatic, Informational, Military, and Economic (DIME). Solving this problem with dynamic programming provides an improved sequence which describes the application of DIME in a manner that minimizes an objective (i.e. cost, time) and allows the model to account for external factors such as an insurgent reaction to US policy. An application of the model is derived for Iraq to demonstrate the utility of the model and explore various aspects of the solution space. This modeling approach offers a potential significant capability when analyzing and planning for nation-building operations

Lewis Fry Richardson: His Intellectual Legacy and Influence in the Social Sciences

This is an open access book. Lewis F Richardson (1981-1953), a physicist by training, was a pioneer in meteorology and peace research and remains a towering presence in both fields. This edited volume reviews his work and assesses its influence in the social sciences, notably his work on arms races and their consequences, mathematical models, the size distribution of wars, and geographical features of conflict. It contains brief bibliographies of his main publications and of articles and books written about Richardson and his work and discusses his continuing influence in peace research and international relations as well as his attitude to the ethical responsibilities of a scientist. It will be of interest to a wide range of scholars. This book includes 11 chapters written by Nils Petter Gleditsch, Dina A Zinnes, Ron Smith, Paul F Diehl, Kelly Kadera, Mark Crescenzi, Michael D Ward, Kristian Skrede Gleditsch, Nils B Weidmann, Jürgen Scheffran, Niall MacKay, Aaron Clauset, Michael Spagat and Stijn van Weezel. Lewis F Richardson occupied an important position in two academic fields as different as meteorology and peace research, with academic prizes awarded in both disciplines. In peace research, he pioneered the use of mathematical models and the meticulous compilation of databases for empirical research. As a quaker and pacifist, he refused to work in preparations for war, paid a heavy prize in terms of his career, and (at least in the social sciences) was fully recognized as a pioneering scholar only posthumously with the publication of two major books. Lewis Fry Richardson is one of the 20th century’s greatest but least appreciated thinkers—a creative physicist, psychologist, meteorologist, applied mathematician, historian, pacifist, statistician, and witty stylist. If you’ve heard of weather prediction, chaos, fractals, cliometrics, peace science, big data, thick tails, or black swans, then you have benefited from Richardson’s prescience in bringing unruly phenomena into the ambit of scientific understanding. Richardson’s ideas continue to be relevant today, and this collection is a superb retrospective on this brilliant and lovable man. Steven Pinker, Johnstone Professor, Harvard University, and the author of The Better Angels of Our Nature and Enlightenment No

Lewis Fry Richardson: His Intellectual Legacy and Influence in the Social Sciences

This is an open access book. Lewis F Richardson (1981-1953), a physicist by training, was a pioneer in meteorology and peace research and remains a towering presence in both fields. This edited volume reviews his work and assesses its influence in the social sciences, notably his work on arms races and their consequences, mathematical models, the size distribution of wars, and geographical features of conflict. It contains brief bibliographies of his main publications and of articles and books written about Richardson and his work and discusses his continuing influence in peace research and international relations as well as his attitude to the ethical responsibilities of a scientist. It will be of interest to a wide range of scholars. This book includes 11 chapters written by Nils Petter Gleditsch, Dina A Zinnes, Ron Smith, Paul F Diehl, Kelly Kadera, Mark Crescenzi, Michael D Ward, Kristian Skrede Gleditsch, Nils B Weidmann, Jürgen Scheffran, Niall MacKay, Aaron Clauset, Michael Spagat and Stijn van Weezel. Lewis F Richardson occupied an important position in two academic fields as different as meteorology and peace research, with academic prizes awarded in both disciplines. In peace research, he pioneered the use of mathematical models and the meticulous compilation of databases for empirical research. As a quaker and pacifist, he refused to work in preparations for war, paid a heavy prize in terms of his career, and (at least in the social sciences) was fully recognized as a pioneering scholar only posthumously with the publication of two major books. Lewis Fry Richardson is one of the 20th century’s greatest but least appreciated thinkers—a creative physicist, psychologist, meteorologist, applied mathematician, historian, pacifist, statistician, and witty stylist. If you’ve heard of weather prediction, chaos, fractals, cliometrics, peace science, big data, thick tails, or black swans, then you have benefited from Richardson’s prescience in bringing unruly phenomena into the ambit of scientific understanding. Richardson’s ideas continue to be relevant today, and this collection is a superb retrospective on this brilliant and lovable man. Steven Pinker, Johnstone Professor, Harvard University, and the author of The Better Angels of Our Nature and Enlightenment No

Proceedings of the 9th MIT/ONR workshop on C3 Systems, held at Naval Postgraduate School and Hilton Inn Resort Hotel, Monterey, California June 2 through June 5, 1986

GRSN 627729"December 1986."Includes bibliographical references and index.Sponsored by Massachusetts Institute of Technology, Laboratory for Information and Decision Systems, Cambridge, Mass., with support from the Office of Naval Research. ONR/N00014-77-C-0532(NR041-519) Sponsored in cooperation with IEEE Control Systems Society, Technical Committee on C.edited by Michael Athans, Alexander H. Levis

Proceedings of the 8th MIT/ONR Workshop on C[3] Systems, held at Massachusetts Institute of Technology, Cambridge, Massachusetts, June 24 to 28, 1985

"December 1985."Includes bibliographies and index.Office of Naval Research Contract no. ONR/N00014-77-C-0532 NR-041-519edited by Michael Athans and Alexander H. Levis

Compilation of Abstracts, June 2016

NPS Class of June 2016This quarter’s Compilation of Abstracts summarizes cutting-edge, security-related research conducted by NPS students and presented as theses, dissertations, and capstone reports. Each expands knowledge in its field.http://archive.org/details/compilationofabs109454990