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Mathematical methods and simulation in military science

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Institute for defense analyses, 1989, 48 p. This paper describes attrition structures that (1) consider both area fire and point fire, (2) consider various levels of coordination among the shooters for both area fire and point fire, (3) allow the explicit consideration of the use of various types of munitions by various types of shooters against various types of targets for...
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Ft. Leavenworth, Kansas, 1983. — 188 p. The Deep Attack Map Exercise (DAME) is a comprehensive, computer-assisted map exercise designed to game the significant aspects of the AirLand Battle for heavy forces. Abstract Acknowledgments List of Tables List of figures Game Overview Game Operations - Initialization and Computer Processing Game Operations - Attrition Game Operations -...
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Technical report. — Monterey, CA: Naval Postgraduate School Monterey, 1979. Lanchester (1914) presented his original combat model between two forces in a deterministic framework. Here, it is shown how the underlying state probabilities of a stochastic analogue of Lanchester's model can be calculated.
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Technical report. — Monterey, CA: Naval Postgraduate School Monterey, 1979. There has been a lot of activity in recent years on the study of Lanchester-type combat models especially from a deterministic standpoint. We consider some of these models in a stochastic framework and indicate how the appropriate deterministic model can be recast stochastically. Techniques for...
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Birkhäuser, 2003. — viii, 420 p. — ISBN: 978-3-0348-8093-0; ISBN: 978-3-7643-1634-1. Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not...
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Birkhäuser, 2003. — 417 p. In this moment of writing, the whole world is waiting for an announced war; at the moment of reading, there is scarce hope the war will not have taken place or be still in course. This is the raison d'être of the present volume. "Mathematics and war" may seem a peculiar topic when war seems so much more important than mathematics. Importance, however,...
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IIT Research Institute/DMSTTIAC, Chicago, IL, 1995, 574 p. Part 1. Homogeneous Lanchester attrition theory? history? other attrition theories, and stuff 0. Introduction1. Definitions and background 2. Literature review 1 3. Mathematical theory 1; fundamental solutions of the Lanchester attrition differential equations 4. Assumptions and solutions 5. The Ironman analysis 6....
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IIT Research Institute/DMSTTIAC, Chicago, IL, 1996, 102 p. Part 3. Heterogeneous Lanchester attrition theory - fire allocation and theory of aggregation35. Heterogeneous force attrition differential equations 36. Fire allocation37. Basic eigenmath 38. Formal aggregation39. Aggregation for simulation40. Heterogeneous stochastic Lanchester and other aggregations
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IIT Research Institute/DMSTTIAC, Chicago, IL, 1996, 266 p. Part 2: Conjugate theory to Lanchester attrition theory 22. Bonder-Farrell theory 23. Terrain and weather 24. Optics 1 25. Optics 2 26. Sensors 27. Search 28. Detection29. Search and detection30. Weapon 1 31. Weapon 2 32. The statistical mechanics of processes 33. Modern attrition functionality 34. Modern attrition...
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Monterey, California: Naval Postgraduate School, 1973. — 89 p. A generalized conception of an insurgency situation is examined with a systems approach. The model is divided into two sectors, propaganda and military. The emphasis in the propaganda sector is on all actions taken by the insurgent and gover.ment sides which have a psychological impact on the population. In the...
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U.S. Army Research Office. 1985. – 941 p. The Second Army Conference on Applied Mathematics and Computing. This is a technical report resulting from the First Army Conference on Applied Mathematics and Computing. It contains most of the papers in the agenda of this meeting. These treat various Army applied mathematical problems.
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Defense Technical Information Center, 1974. — 713 p. A compendium of developments in theater level war gaming, and of major problems in the effort to develop effective theater level models. Contains critiques by a number of high level users of major inadequacies in the U.S. effort at theater level war gaming, and describes possible methods of correcting these weakness. Agenda...
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Springer, 2012. — 240 p. — ISBN: 1461441080 Analysis, assessment, and data management are core tools required for operation research analysts. The April 2011 conference held at the Helenic Military Academy addressed these issues with efforts to collect valuable recommendations for improving analysts’ capabilities to assess and communicate the necessary qualitative data to...
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Prepared for the United States Air Force. United States Army. — 1995. — 52 p. This report illustrates a number of basic principles about aggregation and disaggregation in combat modeling by working through the mathematics and phenomenology of a concrete example. In the example, simplified ground combat takes place in a number of sectors and subsectors within a theater. The...
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Aberdeen Proving Ground, Maryland: US Army Ballistic Research Laboratory, 1984. – 32 p. In this report, the requirement to accomplish solids modeling at the Ballistic Research Laboratory is examined. The historic need for solids file generation is discussed, and the present technique called COMGEOM is described. We discuss an interactive editor (GED) which has recently been...
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Research Analysis Corporation, McLean, Virginia, 1969. — 220 p. THEATERSPIEL is a two-sided, closed, computer-assisted, theater-level wargame with resolution at division level. The TREATERSPIEL game model consists of the cyclical application of flexible sets of rules, procedures, mathematical expressions, empirical formulas, and military judgments to a specific set of data...
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Technical report. — Monterey, CA: Naval Postgraduate School Monterey, 1987. A Lanchester model is developed for a battlegroup ASW engagement. Two variations are included. In the first, long-range missile firing submarines, short-range missile or torpedo firing submarines, and submarines firing only torpedoes distribute their attack uniformly over battlegroup escort ships and...
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RAND, 1973. — 108 p. This report describes the latest version (TAGS-V) of a highly aggregated ground-air conflict computer model. This model, which is distinguished by ease of input and high computational speed, has been used in an Air Force Project RAND study of the contribution of forces to deterrence to assess the combat potential of alternative ground and air forces that...
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DARCOM-P 706-101. BRL. 1978 — 495 p. The objective of the Army Weapon Systems Analysis Handbook is to give the appropriate background for young analysts entering the field of military operations research, and to record some of the more useful or recommended methodology for evaluation of Army weapon systems and materiel. This handbook may also be used as a text for teaching...
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DARCOM P-706-102. BRL. 1978 — 562 p. The Army Weapon Systems Analysts (AWSA) Handbook consists of two parts and has been prepared to record an extensive field in a condensed form, i.e. some of the highlights of weapon evaluations developed by the Army since about 1943. The need to describe and to standardize weapon evaluation methodologies insofar as possible also existed --...
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DSTO-TN-0449 — Edinburgh, Australia: DSTO Systems Sciences Laboratory. 2002. — 44 p. This report considers the derivation of the mathematical model for a missile autopilot in state space form. The basic equations defining the airframe dynamics are non-linear, however, since the non-linearities are structured (in the sense that the states are of quadratic form) a novel approach...
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Ketron, Inc. 1975. — 161 p. ATACM is a computer model designed and built for the Arms Control and Disarmament Agency for use in analyzing the impact of various force mixes upon a tactical airwar in Europe between NATO and Warsaw Pact forces. ATACM models an air campaign as a zero-sum staged game and employs dynamic programming to solve this game for approximate, optimal...
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Wright-Patterson Air Force Base, Ohio : Air Force Institute of Technology Press, 1984. — 559 p. : ill. The text is divided into 21 chapters and and includes an extensive bibliogrphy. The first chapters discuss some 61 military models used in the Depatment of Defense. Perspectives of military modeling The structure of models Quantitative methods The choices and uses of criteria...
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Linthicum, MD : Informs, 2001. — 330 p. : ill. A methodology is proposed for predicting the results of combat/ It is founded in historical analyses of quantitative factors. To to extent that the methodology is successful, it can be used to forecast the results of future battles. The metodology is simply enough to be implemented as a computer spreadshet model. It also can...
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Center for Naval Analyses, Alexandria, Virginia, 1996. — 228 p. The purpose of this paper is to provide the theoretical framework and mathematical background necessary to understand and discuss the various ideas of nonlinear dynamics and complex system theory to plant seeds for a later more detailed discussion (provided in Part II of this report) of how these ideas might apply...
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Center for Naval Analyses, Alexandria, Virginia, 1996. — 166 p. . The Commanding General, Marine Corps Combat Development Command (MCCDC) asked the Center for Naval Analyses to assess the general applicability of the new science to land warfare. "New Sciences" is a catch-all phrase that refers to the tools and methodologies used in nonlinear dynamics and complex systems theory...
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Atlantic Association for Research in the Mathematical Sciences. 2005, Vol. 4, No. 3. p. 413–420 Nowadays a modern military historical reconstruction is hard to reach without using computer. In a fortification reconstruction project we have to collect all data in connection with the selected object. The quantity and quality of data depends very much on objects properties such as...
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Institute for Defense Analyses, Arlington, Va, 1976. — 76 p. This paper is a summary, review and criticism of the CONAF Evaluation Model, a theater-level simulation of conventional ground and air warfare. The main emphasis is on discussion of attrition processes in terms of underlying assumptions. Geographical, structural, organizational, and decision-making processes are also...
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A report prepared for US air force project RAND. 1974, 119 p. General description of TOTEM. Basic elements of TOTEM. General description of TALLY. Basic elements of TALLY.
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US Army Concepts Analysis Agency, Woodmont Avenu, Bethesda, MD 2014, 1980, 111 p. The Concepts Evaluation Model (CEM) 1s a fully automated, deterministic combat simulation that can simulate months of theater land and air combat 1n a few hours on a computer. A unique feature of the CEM is the simulation and automation of the commanders1 decision processes and utilization of...
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Office of Naval Research, Arlington, VA, 1981. — 123 p. An investigation of the many issues and problems associated with combat modeling at the theater-level for force planning was conducted and is presented in two volumes. Volume II constitutes a synthesis and summary of the issues and concerns that surfaced at the workshop relative to theater-level gaining and the diverse...
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Air Force Wargaming Center, Maxwell AFB, AL, 1991. — 238 p. This thesis provides a foundation to build a new theater level computerized wargame for the Air Force Wargaming Center, Maxwell AFB, Alabama to replace the Theater War Exercise (TWX), also known as Agile. Given a recently developed land battle, this thesis' effort links US Air Force doctrine with a conceptual model’s...
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L.: Springer, 2011. - 273 p. Militarized Conflict Modeling UsingComputational Intelligence examines the application of computational intelligence methods to model conflict. Traditionally, conflict has been modeled using game theory. The inherent limitation of game theory when dealing with more than three players in a game is the main motivation for the application of...
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Monterey, California; Naval Postgraduate School, 1970. — 72 p. This thesis presents a Lanchester-based mathematical model of a small army infantry attack on a defended position. It proposes that a major factor in actual combat is the suppression of fire of one side by a heavy volume of accurate fire from its opponents and incorporates this phenomenon into the model. Following...
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Oak Ridge National Laboratory, Tennessee, 1988, 20 p. Abstract. Combat modeling in two spatial dimensions.
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Fort Leavenworth, Kansas, 1987. — 817 p. THE Division Map Exercise (DIME) is the fourth enhancement of a battle simulation originally designed to meet the requirements for a quick-running analytical war game. Model overview. Game initialization. Detection. Logistics. Air attack/air defense. Ground combat. Chemical attrition. Command and control. Movement generator. Unit status...
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Oak Ridge National Laboratory, Tennessee, 1987, 68 p. Abstract. An advanced combat model formulation. Mathematical modeling. General. Mathematical model of combat. Numerical computations. Computational methods and computer programs. Computational complexities. Computational measures. Computational results. Scenarios and parameters.
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3rd edition. — Reston, VA: American Institute of Aeronautics and Astronautics, 2000. — 398 p. — ISBN: 1-56347-397-6. Military Operations Research. Weapon Performance. Combat Modeling. Reliability. Target Detection. Defense Analyses Software. This text presents the various mathematical methods used in military operations research in one easy-to-use reference volume. The reader...
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R-387-PR. — RAND, 1964. — 394 p. The development of nuclear weapons, the rise of advanced military technology, and the prevalence of struggles only rarely punctuated by warfare has given birth to communities of civilian defense experts in all advanced countries. In most cases they rely, directly or indirectly, on the analytical techniques described herein, set down at Rand and...
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Oak Ridge National Laboratory, Tennessee, 1989, 29 p. Abstract. The two-dimensional combat model. Offensive combat maneuvers. frontal attack. turning movement. envelopment. infiltration.
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Washington: Dept. of the Army, 2006. — 230 p. Operations research (OR) emerged during World War II as an important means of assisting civilian and military leaders in making scientifi cally sound improvements in the design and performance of weapons and equipment. OR techniques were soon extended to address questions of tactics and strategy during the war and, after the war, to...
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Washington: Dept. of the Army, 2008. — 398 p. The 1960s and early 1970s were a tumultuous period in world history. Insurgent political movements as well as profound economic and social changes affected many regions of the world, including the United States. The rapid changes in technology and the shifting international political scene, most particularly the Communist insurgency...
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Washington: Dept. of the Army, 2009. — 377 p. The period from 1973 to 1995 was one of the most challenging eras in the history of the United States Army. The last quarter of the twentieth century saw the reorganization and revitalization of the Army following the long and debilitating war in Vietnam and the reorientation of the Army toward the defense of Western Europe against...
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Report. — National Academies Press, 2017. — 159 p. The Office of the Under Secretary of Defense (Personnel & Readiness), referred to throughout this report as P&R, is responsible for the total force management of all Department of Defense (DoD) components including the recruitment, readiness, and retention of personnel. Its work and policies are supported by a number of...
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New York: Palgarave Macmillan, 2014.-193 p. This book details very simply and for even the most novice of potential analysts not only how to perform analytics which describe what is happening, predict what is going to happen, and optimize responses, but also places these analytics in the context of proactive strategy development.
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The Bdm corporation. McLean, Va, 1981, 64 p. Provides an overview of the Integrated Corps Model, a simulation of ground and air-ground combat. Executive summary . General Description. Model Structure. Implementation Form. The icor model description . Model Overview and General Features. Player Centered Modeling. Man-in-the-Loop Operations. Hexagonal Coordinate System....
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National University of Singapore, 2002. — 72 p. Mathematics in arts and architecture. In Geometry of War, we look at four main sections namely, Gunnery, Range finding and Surveying, Fortifications and lastly Troops Formations. In Gunnery, we traced the development of cannons through the centuries. The cannons had evolved from heavy and cumbersome ones to become much lighter and...
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Wiley; 1 edition (March 20, 2012). - 936 p. ISBN10: 0470874295 Explore the military and combat applications of modeling and simulation Engineering Principles of Combat Modeling and Distributed Simulation is the first book of its kind to address the three perspectives that simulation engineers must master for successful military and defense related modeling: the operational view...
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Report. U.S. Army Research Office. 1977. – 613 p. This is a technical report resulting from the Twenty-second Conference of Army Mathematicians. It contains most of the papers on the agenda of this meeting. These treat various Army applied mathematical problems.
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Report. U.S. Army Research Office. 1976. – 718 p. Army Mathematics Steering Committee (AMSC). This is a technical report resulting from the Twenty-first Conference of Army Mathematicians. It contains most of the papers on the Agenda of this meeting. These treat various Army applied mathematical problems.
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Charlottesville, Virginia: US Army Foreign Science and Technology center, School of Engineering and Applied Science University of Virginia, 1978. — 496 p. The theme of the Twenty-fourth Conference of Army Mathematicians was «stochastic processes». Four of the six invited speakers, listed below , spoke on topics related to this theme. In recent years, there has been a shift of...
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Authors not specified. Report. U.S. Army Research Office. 1978. – 663 p. This is a technical report resulting from the Twenty-third Conference of Army Mathematicians. It contains most of the papers on the agenda of this meeting. These treat various Army applied mathematical problems.
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Weapon systems evaluation group (defense), Arlington, VA, 1976, 274 p. The purpose of this paper is to provide a critical description of four currently available computerized simulations of combat. The paper is intended to be useful to study agencies as an aid in their selection of a model for the study of a specific problem. It should also be useful to the reviewer of modeling...
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Springer, 2009. — 281 p. — (International Series in Operations Research & Management Science). — ISBN: 978-1-4419-0789-9. This book deals with the processes, methods, and concepts that lie behind modern models of combat. It is intended for readers with at least a scientific bachelor’s degree and some background in basic probability concepts. It includes three appendices that...
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33 p. Personnel retention is one of the most significant challenges faced by the U.S. Army. Central to the problem is understanding the incentives of the stay-or-leave decision for military personnel. Using three years of data from the US Department of Defense, we construct and estimate a Markov chain model of military personnel. Unlike traditional classification approaches,...
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