Mathematical Models for Quality of Service Driven Routing in Networks

Abstract

Very large networks with varying topologies, unreliable components, and highly time varying traffic, are not amenable to traditional techniques of analysis based on traffic engineering and simulations. Traffic flows in such networks will traverse a number of hops which cannot be determined in advance and encounter traffic conditions that are also unknown. During the flow of a particular traffic stream, the network topology may change (e.g., when wireless links are numerous) and other critical conditions (such as network security) may vary. We address the control of traffic flows in such networks with the objective of meeting the needs of the military end user. Novel results obtained in this research include distributed sensible network techniques that provide a hierarchy of provably better flow control algorithms that apply to any specific QoS metric of interest, and estimates for search times of destinations in highly unknown random environments. We prove the existence and uniqueness of solutions of the non-linear equations for the computation of QoS in the presence of sensible decision algorithms. In addition, we compute the average travel time of a packet that is routed in a random environment, with and without time-outs for packet re-transmission when the packet is lost.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2005
Accession Number
ADA441501

Entities

People

  • Erol Gelenbe

Organizations

  • University of Central Florida

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computations
  • Computer Network Security
  • Control Systems
  • Engineering
  • Environment
  • Flow
  • Hypervelocity Flow
  • Mathematical Models
  • Network Topology
  • Simulations
  • Topology
  • Travel Time
  • Wireless Communications

Fields of Study

  • Computer science

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Computer Networking

Technology Areas

  • Cyber
  • Cyber - Cryptography