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 military leaders. This unique volume is an outgrowth of the April conference and comprises of contributions from the fields of science, mathematics, and the military, bringing Greek research findings to the world. Topics cover 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. A foreword will be composed by a member of N.A.T.O. or a ranking member of the armed forces. 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. The contents of this volume 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.​

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.

This book, first published in 1981, offers a critical review of the techniques of mathematical modelling and their appropriate application to military operations research - the analysis of data (historical data, exercise and test results, and intelligence) in preparation for war. The virtues of sophistication via simplicity, and the beauty of the artful finesse, emerge as the signature of successful modelling.

The growth of operations research during the past several years has been phenomenal. Throughout its evolution, military problems have continually nourished the subject matter and provided interesting sources of research for its further development. As a consequence, military research organizations such as the Office of Naval Research have historically furnished the major support for work on the basic foundations of mathematics and management science necessary to the continued growth of operations research. Beginning with one or two basic textbooks in the early 1950's, most of the tools and techniques of this field have been found in specialized textbooks and the open literature. Recently several new and comprehensive textbooks became available for the classroom training of operations researchers at all levels. This is not surprising, since separate departments of operations research have been formed at various colleges and universities and now provide an opportunity for major study in this field at both the undergraduate and graduate levels. By and large the textbooks now available are not particularly oriented toward military applications, and a need for such a book appears to exist. This book has been written with a view toward filling that need. Its main purpose is to provide orientation for the practitioner who is interested in problem areas that have direct bearing on military applications. It is not a basic textbook designed to train an operations researcher in a comprehensive fashion, although certainly some of the material is amenable to classroom use. On the other hand, it is not a collection of isolated research papers. Rather, as the title indicates, it is an illustration ofthe basic tools and techniques used in solving certain problems of a military nature and application. Several areas have been explored in some detail, although certainly not every conceivable application or area is covered. Also, some applications are presented in terms that are broader than a specific military use. The coordinating theme of the book is the exploitation of mathematical models in the investigation of problems. For this reason the book begins with an extensive discussion of the various aspects of a mathematical model and its role in operations research. A case is made for the place of abstraction in the study of models and is illustrated with the simpler aspects of a Boolean algebra. Following this a rather comprehensive survey of probability and statistics is provided, emphasizing those points that are particularly significant for studying models. The book then proceeds through a variety of models from very specialized problems through search theory, simulation, and finally, inventory and reliability models. It then closes with a broad discussion of systems analysis.

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.

Based on many years of applied research, modeling and educating future decision makers, the authors have selected the critical set of mathematical modeling skills for decision analysis to include in this book. The book focuses on the model formulation and modeling building skills, as well as the technology to support decision analysis. The authors cover many of the main techniques that have been incorporated into their three-course sequence in mathematical modeling for decision making in the Department of Defense Analysis at the Naval Postgraduate School. The primary objective of this book is illustrative in nature. It begins with an introduction to mathematical modeling and a process for formally thinking about difficult problems, illustrating many scenarios and illustrative examples. The book incorporates the necessary mathematical foundations for solving these problems with military applications and related military processes to reinforce the applied nature of the mathematical modeling process.