Mathematical Modeling and Optimal Control of Battlefield Information Flow

Abstract

The U.S. Army's Future Force requires information dominance to succeed, yet finds itself with an ever-increasing gap between its capacity to collect information and its information processing capacity with little understanding of how to efficiently utilize scarce processing resources. In this investigation, a model is proposed to adequately represent the flow of information within a command and control context toward the end of optimally controlling this flow. The model is conjectured to be NP-hard in general. Closed-form optimal solutions are derived for special cases of the model, while other cases are shown to be NP-hard. A case of the model is shown to equate to a special case of the quadratic assignment problem not previously known to have a closed-form solution, and such a solution is derived. Upper and lower bounds are derived for more general cases of the model, and heuristic strategies are proposed and tested in discrete event simulation. Strong empirical evidence is produced to demonstrate the effectiveness and robustness of one heuristic.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 2008
Accession Number
ADA483492

Entities

People

  • Donovan D. Phillips

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes
  • Sensors
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • California
  • Cognition
  • Command And Control
  • Command And Control Systems
  • Control Systems
  • Data Fusion
  • Information Processing
  • Mathematical Models
  • Mathematical Programming
  • Operations Research
  • Random Variables
  • Simulations
  • Situational Awareness
  • United States
  • Unmanned Aerial Vehicles

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Calculus or Mathematical Analysis
  • Systems Analysis and Design

Technology Areas

  • Fully Networked C3
  • Fully Networked C3 - Command and Control