Title Mathematical methods in defense analyses / J.S. Przemieniecki

Edition 3rd ed Published Reston, VA : American Institute of Aeronautics and Astronautics, 2000

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Description 1 online resource (xx, 398 pages) : illustrations Series AIAA education series AIAA education series. Contents Cover -- Title -- Copyright -- Forword -- Table of Contents -- Preface -- Chapter 1. Scientific Methods in Military Operations -- 1.1 Introduction -- 1.2 Mathematical Methods -- Theory of Combat -- Decision Theory -- Linear Programming -- Queuing Theory -- Network Analysis -- Game Theory -- Differential Games -- War-Gaming and Simulation -- Future Directions of Research -- 1.3 Quantitative Competence -- References -- Problems -- Chapter 2. Characteristic Properties of Weapons -- 2.1 Weapon Performance Data -- 2.2 Empirical Averages -- Arithmetic Mean (Average) -- Median 2.3 Scatter or Dispersion -- Range -- Interquartile Range -- Mean Deviation -- Standard Deviation -- Coefficient of Variation -- 2.4 Mean Point of Impact: Systematic Error -- Problems -- Chapter 3. Passive Targets -- 3.1 Binomial Distribution -- 3.2 Normal (Gaussian) Distribution -- 3.3 Poisson Distribution -- 3.4 Probability Density Distribution: Linear Error Probable (LEP) -- 3.5 Single-Shot Probability of Hit for a Rectangular Target -- 3.6 Probability of Target Kill or Hit for Multiple Shots -- 3.7 Probability of Destruction of a Point Target: Circular Error Probable (CEP) Case 1: Zero Offset and Equal Variances -- Case 2: Offset Distribution and Equal Variances -- Case 3: Zero Offset and Unequal Variances -- Case 4: Offset Distribution and Unequal Variances -- 3.8 Probability of Hit of a Rectangular Target:The Polya-Williams Approximation -- Case 1: Equal Variances: Square Target -- Case 2: Nonequal Variances: Rectangular Target -- 3.9 Probability of Hit of an Elliptic Target with Unequal Variances -- 3.10 Probability of Destruction of a Point Target in Space -- 3.11 Linear, Circular, and Spherical Error Probables 3.12 Expected Fractional Damage of a Uniform-Valued Target -- 3.13 Damage Functions for a Point Target in a Plane -- Gaussian Damage Function -- Exponential Damage Function -- Inclined Step Damage Function -- Log-Normal Damage Function -- 3.14 Shrapnel Damage Functions -- Surface Targets -- Space Targets -- 3.15 Weapon Effective Radius (R(sub[w])) for Surface Targets -- Gaussian Damage Function -- Exponential Damage Function -- Inclined Step Damage Function -- Log-Normal Damage Function -- Shrapnel Damage Function -- 3.16 Weapon Effective Radius (R(sub[w])) for Space Targets -- References Problems -- Chapter 4. Deterministic Combat Models -- 4.1 Effective Firing Rate: Attrition Rate Coefficients -- 4.2 Markovian Attrition Rates: Probabilistic Rates -- 4.3 Lanchester Model for Directed Fire: Square Law -- 4.4 Lanchester Model for Area Fire: Linear Law -- 4.5 Guerrilla Warfare Model: Mixed Law -- 4.6 Autonomous Fire Model: Logarithmic Law -- 4.7 Geometric Mean Model: Linear Law -- 4.8 Helmbold Models: Size Effects -- 4.9 Autonomous/Directed Fire Model -- 4.10 Force Parity -- 4.11 Battle Disengagement: Force Breakpoints -- 4.12 Variable Attrition Coefficients: Mobile Attack Model Summary Annotation This text presents the various mathematical methods used in military operations research in one easy-to-use reference volume. The reader will find the calculations necessary to analyze all aspects of defense operations, from weapon performance to combat modeling. The text is so clearly written and organized that even newcomers to the field will find it useful. Included with the text is an updated version of Defense Analyses Software, a compendium of software subroutines that allow the reader to compute numerical values for functions or tables derived in the text. Each subroutine is provided with a detailed reference to the equation from which it was derived to ensure that its intended application is consistent with the assumptions used in the derivation. The third edition has a new chapter on theater missile defense based on the concept of layered defense with different strategies of allocating defense interceptors against short- or mid-range ballistic missiles Bibliography Includes bibliographical references and index Notes Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL digitized 2010 HathiTrust Digital Library committed to preserve pda MiAaHDL Print version record Subject Military art and science -- Mathematical models Operations research. Operations Research Military art and science -- Mathematical models Operations research Forschungsmethode Mathematische Methode Mathematisches Modell Militärische Forschung Operation Militär Genre/Form dissertations. Academic theses Academic theses. Thèses et écrits académiques. Form Electronic book LC no. 00033138 ISBN 9781600860850 1600860850 1563473976 9781563473975

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