Constrained Optimal Search for a Moving Target in a False Contact Environment PDF Download

Author: Donald E. Merrifield
Publisher:
ISBN:
Category :
Languages : en
Pages : 176

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Author: Lawrence D. Stone
Publisher: Springer
ISBN: 3319268996
Category : Business & Economics
Languages : en
Pages : 222

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Book Description
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.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 277

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This thesis is concerned with the development of an autonomous system to search a dynamic target in the minimum possible time in uncertain environments, that is, to solve the minimum time search problem, which is presented as an especial problem within the optimal search theory. This work proposes a Bayesian approach to nd the target using several moving agents with constrained dynamics and equipped with sensors that provide information about the environment. The minimum time search involves two process: the target location estimation using the information collected by the agents, and the planning of the searching routes that the agents must follow to nd the target. The target location estimation is tackled using Bayesian techniques, more precisely, the recursive Bayesian lter. Moreover, an improved information lter, based on the extended Kalman lter, that deals with the team communication delays (i.e. out of sequence problem) is presented. The agents trajectory planning is faced as a sequential decision making problem where, given the a priori target location estimation, the best actions that the agents have to perform are computed. For that purpose, three Bayesian strategies are proposed: minimizing the local expected time of detection, maximizing the discounted time probability of detection, and optimizing a probabilistic function that integrates an heuristic that approximates the expected observation. To implement the strategies, three solutions are proposed. The rst one, based on constraint programming, provides exact solutions in the discrete case when the target is static and the number of decision variables is small. The second one is an approximated algorithm stood on the cross entropy optimization method that tackles the discrete case for dynamic targets. The third solution is a gradient-based decentralized algorithm that achieves non-myopic solutions for the continuous case. The minimum time search problems are found inside the core of many real applications, such as search and rescue emergency operations (e.g. shipwreck accidents) or pollution substances di usion control (e.g. oil spill monitoring). This thesis reveals how to reduce the searching time of a moving target e ciently, determining which searching strategies take into account the time and under which conditions are valid, and providing approximated polynomial algorithms to compute the actions that the agents must perform to find the target.

Author: James N. Eagle
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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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.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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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).

Author: Gregory S. Chirikjian
Publisher: Springer Science & Business Media
ISBN: 3642003117
Category : Technology & Engineering
Languages : en
Pages : 673

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Book Description
This book contains selected contributions to WAFR, the highly-competitive meeting on the algorithmic foundations of robotics. They address the unique combination of questions that the design and analysis of robot algorithms inspires.

Author: Douglas B. Guthe (Jr.)
Publisher:
ISBN:
Category : Computer science
Languages : en
Pages : 65

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Book Description
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).

Author: James N. Eagle
Publisher:
ISBN:
Category : Markov processes
Languages : en
Pages : 0

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Book Description
A search is conducted for a target moving in discrete time between a finite number of cells according to a known Markov process. The set of cells available for search in a given time period is a function of the cell searched in the previous time period. The problem is formulated and solved as a partially observable Markov decision process (POMDP). A finite time horizon POMDP solution technique is presented which is simpler than the standard linear programming methods. (Author).

Author: James N. Eagle
Publisher:
ISBN:
Category : Operations research
Languages : en
Pages : 0

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Book Description
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).

Author: STANFORD UNIV CALIF DEPT OF STATISTICS.
Publisher:
ISBN:
Category :
Languages : en
Pages : 34

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Book Description
This paper shows that solving the optimal whereabouts search problem for a moving target is equivalent to solving a finite number of optimal detection problems for moving targets. This generalizes the result of Kadane (5) for stationary targets. (Author).