Models and Metrics of Geometric Cooperation

Abstract

A basic way that entities can cooperate with one another is by sharing of tasks through synchronized movement to balance their geometric load. For example, players of a team defending a goal may be assigned equal-spaced zones to defend or units in a military force may be assigned equal-spaced sectors to control. As the dynamics of the situation unfold and as entities move, withdraw, or enter the space; the other entities cooperate by adjusting their positions to retain load balance. Various ways that this geometric cooperation can be accomplished, both from the perspectives of central and local control, are developed analyzed, and simulated. This problem is related to other geometric cooperation problems such as movements in multi-player pursuit-evasion games and balancing loads for other generally non-geometric algorithms. The authors use the metrics to establish a framework for a theory of geometric cooperation. Simulations, metrics, and results of the algorithms? Performance in various scenarios are presented.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2010
Accession Number
ADA554293

Entities

People

  • Chris Arney
  • Elisha Peterson
  • Kristin Arney

Organizations

  • United States Military Academy

Tags

Communities of Interest

  • Autonomy
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Autonomous Systems
  • Cognitive Systems Engineering
  • Computers
  • Game Theory
  • Geometry
  • Graph Theory
  • Information Systems
  • Instructors
  • Mathematical Models
  • Mathematics
  • New York
  • Simulations
  • Teamwork
  • United States
  • United States Military Academy
  • Warfare

Readers

  • Computer Vision.
  • Military History / Militaries and War Studies
  • Military Training and Readiness Simulation

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers