Mathematical methods in defense analyses /

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 wr...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Przemieniecki, J. S.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Reston, VA : American Institute of Aeronautics and Astronautics, 2000.
Edición:3rd ed.
Colección:AIAA education series.
Temas:
Military art and science > Mathematical models.
Operations research.
Operations Research
Art et science militaires > Modèles mathématiques.
Recherche opérationnelle.
Military art and science > Mathematical models
Operations research
Forschungsmethode
Mathematische Methode
Mathematisches Modell
Militärische Forschung
Operation > Militär
dissertations.
Academic theses
Academic theses.
Thèses et écrits académiques.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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