Search theory: some recent developments
Gespeichert in:
Format: | Buch |
---|---|
Sprache: | English |
Veröffentlicht: |
New York u.a.
Dekker
1989
|
Ausgabe: | 1. print. |
Schriftenreihe: | Lecture notes in pure and applied mathematics
112. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 155 S. Ill. |
ISBN: | 0824780000 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | Contents
PREFACE i i i
CONTRIBUTORS xi
1. SEARCH THEORY 1
Henry R. Richardson
1. Introduction 1
2. Review of Search Theory Literature 2
3. Solution to an Optimal Search Problem 7
References 10
2. A REVIEW OF RESULTS IN OPTIMAL SEARCH FOR MOVING TARGETS 13
Lawrence D. Stone
1. Introduction 13
2. One Sided Search for a Stationary Target 14
3. Optimal Search Density for a Moving Target 18
4. Optimal Searcher Path for a Moving Target 27
References 29
3. CONTINUOUS SEARCH GAMES 33
Shtnuel Gal
1. Introduction 33
2. Search in a Graph 37
3. Search in Multidimensional Regions 43
4. Search in Unbounded Domains 46
References 51
4. SEARCH THEORY: A DIFFERENTIAL EQUATIONS APPROACH 55
Marc Mangel
1. The Search Problem and Its Components 55
2. The Differential Equations of Search Theory 65
3. Solution of the Search Equations 79
4. Rays in Optimal Search: Effort Allocation 87
5. Rays in Optimal Search: Search Path Calculations 90
6. Conclusions 97
References 98
ix
x Contents
5. SEARCH PLANS GENERATED BY BILLIARDS 103
David V. Chudnovsky and Gregory V. Chudnovsky
1. Introduction 103
2. Search Games for Immobile and Movable Targets in
Various Domains 103
3. Systematic Search Plans Defined by Dynamical Systems
and Analysis of Linear Motions on Tori and Billiard
Strategies in Rectangular Domains 106
4. Randomized Search Plan for Two Dimensional Domains 111
Figures 112
References 130
6. UNIFORMLY ERGODIC SEARCH IN A DISK 131
S. P. Lalley and Herbert B. Bobbins
1. Introduction 131
2. Description of the Search Plan 131
3. Statement of Principal Results 133
4. Proof of Uniform Distribution of r 135
5. Some Asymptotics for Te(Q) as e + 0 139
6. Mobile Targets 142
References 151
INDEX 153
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discipline | Mathematik Wirtschaftswissenschaften |
edition | 1. print. |
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indexdate | 2024-07-09T16:41:00Z |
institution | BVB |
isbn | 0824780000 |
language | English |
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owner_facet | DE-703 |
physical | XI, 155 S. Ill. |
publishDate | 1989 |
publishDateSearch | 1989 |
publishDateSort | 1989 |
publisher | Dekker |
record_format | marc |
series | Lecture notes in pure and applied mathematics |
series2 | Lecture notes in pure and applied mathematics |
spelling | Search theory some recent developments ed. by David V. Chudnovsky ... 1. print. New York u.a. Dekker 1989 XI, 155 S. Ill. txt rdacontent n rdamedia nc rdacarrier Lecture notes in pure and applied mathematics 112. Suchverfahren (DE-588)4132315-4 gnd rswk-swf Suchtheorie (DE-588)4233396-9 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Suchverfahren (DE-588)4132315-4 s DE-604 Suchtheorie (DE-588)4233396-9 s Chudnovsky, David V. Sonstige oth Lecture notes in pure and applied mathematics 112. (DE-604)BV005871364 112 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003883871&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Search theory some recent developments Lecture notes in pure and applied mathematics Suchverfahren (DE-588)4132315-4 gnd Suchtheorie (DE-588)4233396-9 gnd |
subject_GND | (DE-588)4132315-4 (DE-588)4233396-9 (DE-588)4143413-4 |
title | Search theory some recent developments |
title_auth | Search theory some recent developments |
title_exact_search | Search theory some recent developments |
title_full | Search theory some recent developments ed. by David V. Chudnovsky ... |
title_fullStr | Search theory some recent developments ed. by David V. Chudnovsky ... |
title_full_unstemmed | Search theory some recent developments ed. by David V. Chudnovsky ... |
title_short | Search theory |
title_sort | search theory some recent developments |
title_sub | some recent developments |
topic | Suchverfahren (DE-588)4132315-4 gnd Suchtheorie (DE-588)4233396-9 gnd |
topic_facet | Suchverfahren Suchtheorie Aufsatzsammlung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003883871&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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