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Search For A Moving Target Upper Bound On Detection Probability
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Book Synopsis Search for a Moving Target: Upper Bound on Detection Probability by :
Download or read book Search for a Moving Target: Upper Bound on Detection Probability written by and published by . This book was released on 1978 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Existing algorithms for computing the optimal distribution of effort in search for a moving target operate by producing a sequence of progressively better distributions. This report shows how to compute an upper bound on the detection probability for each of those effort distributions in the case where the detection function is concave.
Book Synopsis Optimal Search for Moving Targets by : Lawrence D. Stone
Download or read book Optimal Search for Moving Targets written by Lawrence D. Stone and published by Springer. This book was released on 2016-04-06 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with a review of basic results in optimal search for a stationary target. It then develops the theory of optimal search for a moving target, providing algorithms for computing optimal plans and examples of their use. Next it develops methods for computing optimal search plans involving multiple targets and multiple searchers with realistic operational constraints on search movement. These results assume that the target does not react to the search. In the final chapter there is a brief overview of mostly military problems where the target tries to avoid being found as well as rescue or rendezvous problems where the target and the searcher cooperate. Larry Stone wrote his definitive book Theory of Optimal Search in 1975, dealing almost exclusively with the stationary target search problem. Since then the theory has advanced to encompass search for targets that move even as the search proceeds, and computers have developed sufficient capability to employ the improved theory. In this book, Stone joins Royset and Washburn to document and explain this expanded theory of search. The problem of how to search for moving targets arises every day in military, rescue, law enforcement, and border patrol operations.
Book Synopsis Search Theory and Applications by : K. Haley
Download or read book Search Theory and Applications written by K. Haley and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Research Institute on Search Theory and Appli cations was held at the Hotel Algarve in Praia Da Rocha, Portugal, from March 26 through March 30, 1979, and was sponsored by the NATO Special Programme Panel on Systems Science. There were forty-one participants representing a wide range of backgrounds and interests. The purpose of the institute was to bring together people working in search theory and applications with potential users of search techniques to stimulate the increased application of recent ly developed search technology to civilian problems such as search and rescue, mineral exploration, surveillance, and fishing. Con versely, it was felt that by exposing search analysts to potential applications and new problems, they would be stimulated to develop new techniques for these applications and problems. The exchange of ideas and problems necessary to accomplish these goals was provided in the meeting workshops. There were three workshops, Search and Rescue, Exploration, and Surveillance and Fishing, each consisting of a small group of search analysts and potential users working together to define areas in which search theory and technology can be applied and to outline plans for im plementation. At the end of the conference, each working group submitted a report outlining possible areas of search applications and discussing problems which needed to be solved in order to im plement these applications.
Book Synopsis An Optimal Branch-and-Bound Procedure for the Constrained Path, Moving Target Search Problem by : James N. Eagle
Download or read book An Optimal Branch-and-Bound Procedure for the Constrained Path, Moving Target Search Problem written by James N. Eagle and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A search is conducted for a target moving in discrete time among a finite number of cells according to a known Markov process. The searcher must choose one cell in which to search in each time period. The set of cells available for search depends upon the cell chosen in the last time period. The problem is to find a search path, i.e., a sequence of search cells that maximizes the probability of detecting the target in a fixed number of time periods. Closely following earlier work by Theodor Stewart, a branch-and-bound procedure is developed which finds optimal search paths. This procedure is tested and appears to be more efficient than existing dynamic programming solution methods. Keywords: Moving targets; Target detection; Searching.
Book Synopsis Studies on the Optimal Search Plan by : Koji Iida
Download or read book Studies on the Optimal Search Plan written by Koji Iida and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Search theory is concerned with the location of a 'target' given imprecise information concerning its location. The subject has a variety of applications such as locating missing people in wilderness or at sea, searching for mineral deposits, medical diagnosis, and searching for malfunctions in industrial processes. This volume is concerned with search strategies which are optimal in the sense that they minimize the 'risk' or cost of a search where this may be measured in factors such as time or money. Consequently, the author discusses a range of mathematical techniques including non-linear programming, fractional programming, dynamic programming, the calculus of variation, and the Pontryagin maximum principle from optimal control theory. Many numerical examples are presented in order to illustrate the effectiveness of particular techniques. As a result, this book will provide all researchers in search theory with an up-to-date account of this important area of operations research.
Book Synopsis Probabilistic Search for Tracking Targets by : Irad Ben-Gal
Download or read book Probabilistic Search for Tracking Targets written by Irad Ben-Gal and published by John Wiley & Sons. This book was released on 2013-03-25 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a probabilistic and information-theoretic framework for a search for static or moving targets in discrete time and space. Probabilistic Search for Tracking Targets uses an information-theoretic scheme to present a unified approach for known search methods to allow the development of new algorithms of search. The book addresses search methods under different constraints and assumptions, such as search uncertainty under incomplete information, probabilistic search scheme, observation errors, group testing, search games, distribution of search efforts, single and multiple targets and search agents, as well as online or offline search schemes. The proposed approach is associated with path planning techniques, optimal search algorithms, Markov decision models, decision trees, stochastic local search, artificial intelligence and heuristic information-seeking methods. Furthermore, this book presents novel methods of search for static and moving targets along with practical algorithms of partitioning and search and screening. Probabilistic Search for Tracking Targets includes complete material for undergraduate and graduate courses in modern applications of probabilistic search, decision-making and group testing, and provides several directions for further research in the search theory. The authors: Provide a generalized information-theoretic approach to the problem of real-time search for both static and moving targets over a discrete space. Present a theoretical framework, which covers known information-theoretic algorithms of search, and forms a basis for development and analysis of different algorithms of search over probabilistic space. Use numerous examples of group testing, search and path planning algorithms to illustrate direct implementation in the form of running routines. Consider a relation of the suggested approach with known search theories and methods such as search and screening theory, search games, Markov decision process models of search, data mining methods, coding theory and decision trees. Discuss relevant search applications, such as quality-control search for nonconforming units in a batch or a military search for a hidden target. Provide an accompanying website featuring the algorithms discussed throughout the book, along with practical implementations procedures.
Book Synopsis Theory and Algorithms for Cooperative Systems by : Don A. Grundel
Download or read book Theory and Algorithms for Cooperative Systems written by Don A. Grundel and published by World Scientific. This book was released on 2004 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several years, cooperative control and optimization have increasingly played a larger and more important role in many aspects of military sciences, biology, communications, robotics, and decision making. At the same time, cooperative systems are notoriously difficult to model, analyze, and solve OCo while intuitively understood, they are not axiomatically defined in any commonly accepted manner. The works in this volume provide outstanding insights into this very complex area of research. They are the result of invited papers and selected presentations at the Fourth Annual Conference on Cooperative Control and Optimization held in Destin, Florida, November 2003. This book has been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences. Contents: Mesh Stability in Formation of Distributed Systems (C Ashokkumar et al.); On the Performance of Heuristics for Broadcast Scheduling (C Commander et al.); Coupled Detection Rates: An Introduction (D Jeffcoat); Decentralized Receding Horizon Control for Multiple UAVs (Y Kuwata & J How); Multitarget Sensor Management of Dispersed Mobile Sensors (R Mahler); K-Means Clustering Using Entropy Minimization (A Okafor & P Pardalos); Possibility Reasoning and the Cooperative Prisoner''s Dilemma (H Pfister & J Walls); Coordinating Very Large Groups of Wide Area Search Munitions (P Scerri et al.); A Vehicle Following Methodology for UAV Formations (S Spry et al.); Decentralized Optimization via Nash Bargaining (S Waslander et al.); and other papers. Readership: Graduate students and researchers in optimization and control, computer science and engineering."
Book Synopsis Approximating the Probabilities of Detecting and of Hitting Targets and the Probability Distribution of the Number of Trials Along the Visible Portions of Curves in the Plane Subject to a Poisson Shadowing Process by : S. Zacks
Download or read book Approximating the Probabilities of Detecting and of Hitting Targets and the Probability Distribution of the Number of Trials Along the Visible Portions of Curves in the Plane Subject to a Poisson Shadowing Process written by S. Zacks and published by . This book was released on 1984 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: A target (deer) is moving along a path in the forest. The path is partly obscured from an observer (hunter) by trees which are randomly dispersed. In order to detect the target there should be a visible window along the path of length tau or larger. If a target is detected, the hunter starts shooting at it. Each shooting trial requires a visibility window of length tau. The hunter continues with the shooting trials until the target is hit or disappears in a shadowed portion of the path. The present paper provides a methodology for approximating the probability of detecting a target, and lower and upper bounds for the probability distribution of the total number of shooting trials along the visible portions of the path. Lower and upper bounds for the probability of hitting the target are provided too. These bounds and approximations are derived under the assumption that the obscuring elements constitute a Poisson random field. (Author).
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 1048 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling the Search for a Randomly Moving Target by a Patrolling Searcher by : William John Lohr
Download or read book Modeling the Search for a Randomly Moving Target by a Patrolling Searcher written by William John Lohr and published by . This book was released on 1992 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops a model, called Area Motion Search (AMS), that determines the detection probability for a patrolling sensor searching for a randomly moving target in a fixed area. The AMS model reduces to exhaustive search when the target is stationary and to random search when the searcher is stationary. Thus, AMS is a bridge between these two often used models in search theory, and provides a unified treatment of both.
Book Synopsis Mathematics of Operations Research by :
Download or read book Mathematics of Operations Research written by and published by . This book was released on 1981 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Search for Moving Targets by : Anthony Paul Ciervo
Download or read book Search for Moving Targets written by Anthony Paul Ciervo and published by . This book was released on 1977 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Search Theory by : David V. Chudnovsky
Download or read book Search Theory written by David V. Chudnovsky and published by CRC Press. This book was released on 2023-05-09 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the solution of an optimal search problem with an exponential detection function. Covers one- and two-sided detection problems by furnishing continuous and discret time strategies; examines two-sided search strategies with solutions in hide and seek games in many discrete and continuous bounded
Book Synopsis 日本オペレーションズ・リサーチ学会論文誌 by : 日本オペレーションズ・リサーチ学会
Download or read book 日本オペレーションズ・リサーチ学会論文誌 written by 日本オペレーションズ・リサーチ学会 and published by . This book was released on 2003 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Optimal Search for the Wake of a Moving Target When Searcher Motion is Constrained by :
Download or read book Optimal Search for the Wake of a Moving Target When Searcher Motion is Constrained written by and published by . This book was released on 1983 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method for determining the optimal or near-optimal search path for the wake of a moving target when the searcher's motion is constrained is presented. The problem uses a Markov motion model in discrete time and space for the target and assumes that the searcher is constrained to move only from the currently occupied cell j to a specified set of 'neighbor cells', I(j). First, a discussion of the complexity of the problem is presented. Next, an extension of T.J. Stewart's constrained searcher algorithm is given. Stewart's algorithm uses S.S. Brown's unconstrained searcher algorithm to calculate bounds on the probability of nondetection. An extension of Brown's algorithm to allow the use of a wake detector is also given. Several alternatives to both algorithms are offered and compared. Finally, some further extensions to the algorithms are suggested. (Author).
Book Synopsis A Mathematical Model for Calculating Detection Probability of a Diffusion Target by : Mucahit Sislioglu
Download or read book A Mathematical Model for Calculating Detection Probability of a Diffusion Target written by Mucahit Sislioglu and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this thesis is to derive a mathematical model to predict the detection probability of a target which moves randomly, according to a two-dimensional diffusion model. This model assumes that there is a stationary searcher which has a cookie cutter sensor with radius R. In order to construct this model, a Monte Carlo simulation program is used to generate detection probabilities. It is demonstrated that this model can be used asymptotically to predict an upper bound detection probability of an equivalent random tour target. Additional keywords: DIFSIM(diffusion simulation model); Fortran; Computerized simulation; DIFSIM computer program; variables. (Author).
Book Synopsis The Approximate Solution of a Simple Constrained Search Path Moving Target Problem Using Moving Horizon Policies by : James N. Eagle
Download or read book The Approximate Solution of a Simple Constrained Search Path Moving Target Problem Using Moving Horizon Policies written by James N. Eagle and published by . This book was released on 1984 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: A simple moving target problem is approximately solved for that search path minimizing the probability of non-detection subject to specified constraints on the search path. The solution procedure uses moving horizon policies. An 'almost asymptotically geometric' structure is observed in the solution. (Author).
