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Author: Lawrence D. Stone Publisher: Springer ISBN: 3319268996 Category : Business & Economics Languages : en Pages : 222
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: Lawrence D. Stone Publisher: Springer ISBN: 3319268996 Category : Business & Economics Languages : en Pages : 222
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: STANFORD UNIV CALIF DEPT OF STATISTICS. Publisher: ISBN: Category : Languages : en Pages : 34
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).
Author: James N. Eagle Publisher: ISBN: Category : Languages : en Pages : 0
Book Description
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: James N. Eagle Publisher: ISBN: Category : Markov processes Languages : en Pages : 0
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: Publisher: ISBN: Category : Languages : en Pages : 0
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: Koji Iida Publisher: Springer Science & Business Media ISBN: 146122876X Category : Mathematics Languages : en Pages : 138
Book Description
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.
Author: Lawrence D. Stone
Author: Lawrence D. Stone
Author: Donald E. Merrifield
Author: Ulla Pursiheimo
Author: János Flesch
Author: STANFORD UNIV CALIF DEPT OF STATISTICS.
Author: Benjamin Paul Jordan
Author: James N. Eagle
Author: James N. Eagle
Author: 
Author: Koji Iida