Search theory : some recent developments

Search theory some recent developments

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.

Detalles Bibliográficos
Otros Autores: Chudnovsky, David, author (author), Chudnovsky, D. (David), 1947- editor (editor), Chudnovsky, G. (Gregory), 1952- editor
Formato: Libro electrónico
Idioma:Inglés
Publicado: Boca Raton : CRC Press 2023.
Edición:1st
Colección:Lecture notes in pure and applied mathematics
Materias:
Search theory.
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009757920606719
Tabla de Contenidos:
  • Cover
  • Half Title
  • Series
  • Title
  • Copyright
  • Preface
  • Contents
  • Contributors
  • 1. Search Theory
  • 1. Introduction
  • 2. Review of Search Theory Literature
  • 3. Solution to an Optimal Search Problem
  • References
  • 2. A Review of Results in Optimal Search for Moving Targets
  • 1. Introduction
  • 2. One-Sided Search for a Stationary Target
  • 3. Optimal Search Density for a Moving Target
  • 4. Optimal Searcher Path for a Moving Target
  • References
  • 3. Continuous Search Games
  • 1. Introduction
  • 2. Search in a Graph
  • 3. Search in Multidimensional Regions
  • References
  • 4. Search Theory: A Differential Equations Approach
  • 1. The Search Problem and Its Components
  • 2. The Differential Equations of Search Theory
  • 3. Solution of the Search Equations
  • 4. Rays in Optimal Search: Effort Allocation
  • 5. Rays in Optimal Search: Search Path Calculations
  • 6. Conclusions
  • References
  • 5. Search Plans Generated by Billiards
  • 1. Introduction
  • 2. Search Games for Immobile and Movable Targets in Various Domains
  • 3. Systematic Search Plans Defined by Dynamical Systems and Analysis of Linear Motions on Tori and Billiard Strategies in Rectangular Domains
  • 4. Randomized Search Plan for Two-Dimensional Domains
  • Figures
  • References
  • 6. Uniformly Ergodic Search in a Disk
  • 1. Introduction
  • 2. Description of the Search Plan
  • 3. Statement of Principal Results
  • 4. Proof of Uniform Distribution of Γ
  • 5. Some Asymptotics for Tε(Q) as ε → 0
  • 6. Mobile Targets
  • References
  • Index.

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