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Analysis, assessment, and data management are core tools required for operation research analysts. The April 2011 conference held at the Helenic Army Academy addressed these topics with efforts to collect valuable recommendations for improving analysts’ capabilities to assess and communicate necessary qualitative data to military leaders.   This unique volume is comprised of contributions from the fields of science, mathematics, and the military, and includes a foreword written by the general manager of the NATO Consultation Command and Control Agency (NC3A).  This work will be of  interest to a diverse audience including military operations research analysts, the military community at large, and practitioners working with mathematical methods and applications to informatics and military science. Applications of Mathematics and Informatics in Military Science  covers  a wide variety of mathematical methods used with application to defense and security.  Each contribution considers directions and pursuits of scientists that pertain to the military as well as the theoretical background required for methods, algorithms, and techniques used in military applications.  The direction of theoretical results in these applications is conveyed and open problems and future areas of focus are highlighted.   Topics covered include: applied OR and military applications, signal processing, scattering, scientific computing and applications, combat simulation and statistical modeling, satellite remote sensing, and applied informatics (cryptography and coding).

Mathematics. --- Military art and science -- Data processing. --- Military art and science -- Mathematics. --- Mathematics --- Military & Naval Science --- Law, Politics & Government --- Physical Sciences & Mathematics --- Mathematics - General --- Military Science - General --- Information warfare. --- Military art and science --- Technological innovations. --- Fighting --- Military power --- Military science --- Warfare --- Warfare, Primitive --- Image processing. --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Mathematical optimization. --- Operations research. --- Management science. --- Computational Science and Engineering. --- Optimization. --- Operations Research, Management Science. --- Image Processing and Computer Vision. --- Applications of Mathematics. --- Naval art and science --- War --- Computer science. --- Computer vision. --- Math --- Science --- Machine vision --- Vision, Computer --- Artificial intelligence --- Image processing --- Pattern recognition systems --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Informatics --- Optical data processing. --- Engineering --- Engineering analysis --- Optical computing --- Visual data processing --- Bionics --- Electronic data processing --- Integrated optics --- Photonics --- Computers --- Quantitative business analysis --- Management --- Problem solving --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Computer mathematics --- Optical equipment

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Analysis, assessment, and data management are core competencies for operation research analysts. This volume addresses a number of issues and developed methods for improving those skills. It is an outgrowth of a conference held in April 2013 at the Hellenic Military Academy, and brings together a broad variety of mathematical methods and theories with several applications. It discusses directions and pursuits of scientists that pertain to engineering sciences. It is also presents the theoretical background required for algorithms and techniques applied to a large variety of concrete problems. A number of open questions as well as new future areas are also highlighted. This book will appeal to operations research analysts, engineers, community decision makers, academics, the military community, practitioners sharing the current “state-of-the-art,” and analysts from coalition partners. Topics covered include Operations Research, Games and Control Theory, Computational Number Theory and Information Security, Scientific Computing and Applications, Statistical Modeling and Applications, Systems of Monitoring and Spatial Analysis.

Number theory --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematical statistics --- Probability theory --- Mathematics --- Planning (firm) --- Computer. Automation --- waarschijnlijkheidstheorie --- stochastische analyse --- automatisering --- mathematische modellen --- speltheorie --- econometrie --- wiskunde --- operationeel onderzoek --- kansrekening --- getallenleer

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This book highlights recent advances in the development of effective modeling and solution approaches to enhance the performance of military logistics. It seeks to further research in global defense-related topics, including military operations, governmental operations and security, as well as nation support. Additionally its purpose is to promote the global exchange of information and ideas amongst developers and users of military operations research tools and techniques. Over the course of its nine chapters, this edited volume addresses significant issues in military logistics including: a) Restructuring processes via OR methods aimed at improving the efficiency and effectiveness of the military logistics, b) Sense-and-Respond logistics prediction and coordination techniques that provide competitive advantage, spanning the full range of military operations across the strategic, operational and tactical levels of war, c) Procurement and auctioning, d) Inventory and stock control theories and applications, e) Military transport and logistical equipment, and, f) Maintenance, repair and overhaul on operational capability in general and equipment availability. The book aims to bridge the gap between the abundant literature on commercial logistics and its scarce defense and combat counterpart. This collection of useful insights into new trends and research will offer an ideal reference for practitioners and army related personnel interested in integrating scientific rigor to improve logistics management within defense organizations and agencies. Ultimately this book should provide a relevant platform for the latest contributions of operations management, operations research, and computational intelligence towards the enhancement of military logistics.

Economics/Management Science. --- Operation Research/Decision Theory. --- Production/Logistics/Supply Chain Management. --- Simulation and Modeling. --- Economics. --- Computer simulation. --- Operations research. --- Economie politique --- Simulation par ordinateur --- Recherche opérationnelle --- Military & Naval Science --- Management --- Law, Politics & Government --- Business & Economics --- Military Science - General --- Management Theory --- Logistics --- Military supplies. --- Technological innovations. --- Armies --- Army supplies --- Instruments of war --- Military equipment --- Munitions --- Ordnance (Military supplies) --- Subsistence stores --- Supplies, Military --- Supplies and stores --- Business. --- Production management. --- Decision making. --- Business and Management. --- Operations Management. --- Military art and science --- Operations Research/Decision Theory. --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Manufacturing management --- Industrial management --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Deciding --- Decision (Psychology) --- Decision analysis --- Decision processes --- Making decisions --- Management decisions --- Choice (Psychology) --- Problem solving --- Decision making --- Operations Research and Decision Theory. --- Computer Modelling.

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Mathematical methods and theories with interdisciplinary applications are presented in this book. The eighteen contributions presented in this Work have been written by eminent scientists; a few papers are based on talks which took place at the International Conference at the Hellenic Artillery School in May 2015. Each paper evaluates possible solutions to long-standing problems such as the solvability of the direct electromagnetic scattering problem, geometric approaches to cyber security, ellipsoid targeting with overlap, non-equilibrium solutions of dynamic networks, measuring ballistic dispersion, elliptic regularity theory for the numerical solution of variational problems, approximation theory for polynomials on the real line and the unit circle, complementarity and variational inequalities in electronics, new two-slope parameterized achievement scalarizing functions for nonlinear multiobjective optimization, and strong and weak convexity of closed sets in a Hilbert space. Graduate students, scientists, engineers and researchers in pure and applied mathematical sciences, operations research, engineering, and cyber security will find the interdisciplinary scientific perspectives useful to their overall understanding and further research.

Mathematics. --- Algebra. --- Ordered algebraic structures. --- Computer science --- Computer mathematics. --- Algorithms. --- Numerical analysis. --- Mathematical models. --- Mathematical optimization. --- Optimization. --- Numerical Analysis. --- Order, Lattices, Ordered Algebraic Structures. --- Mathematics of Algorithmic Complexity. --- Mathematical Modeling and Industrial Mathematics. --- Mathematical Applications in Computer Science. --- Cyber intelligence (Computer security) --- Computer networks --- Systems engineering. --- Security measures. --- Engineering systems --- System engineering --- Engineering --- Industrial engineering --- System analysis --- Computer network security --- Network security, Computer --- Security of computer networks --- Computer security --- Cyber spying --- Cyberintelligence (Computer security) --- Cyberspying --- Intelligence, Cyber (Computer security) --- Design and construction --- Mathematics --- Mathematical analysis --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- Computer science—Mathematics. --- Computer mathematics --- Electronic data processing --- Models, Mathematical --- Algorism --- Algebra --- Arithmetic --- Algebraic structures, Ordered --- Structures, Ordered algebraic --- Foundations

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This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Calculus of variations. --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Computer mathematics. --- Calculus of Variations and Optimal Control; Optimization. --- Computational Mathematics and Numerical Analysis. --- Computer mathematics --- Electronic data processing --- Mathematics --- Mathematical optimization. --- Calculus of Variations and Optimization. --- Data processing. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Operations research --- Simulation methods --- System analysis