ECE 598 TT2 - Introduction to Queuing Theory and Stochastic Network Systems

Summer 2009 | Fall 2009 | Spring 2010 | Summer 2010
Section Type Times Days Location Instructor
TT2 LCD 1730 - 1910 T R   245 Everitt Lab  Tolga Tezcan

Official Description Subject offerings of new and developing areas of knowledge in electrical and computer engineering intended to augment the existing curriculum. See Class Schedule or departmental course information for topics and prerequisites. May be repeated in the same or separate terms if topics vary.
Hours 0 to 4 hours.
Course Prerequisites Credit in IE 300
Course Directors Tolga Tezcan
Description Queuing theory is the mathematical analysis of waiting lines. Applications are frequently encountered in customer service situations as well as transport and telecommunication. This course will cover the basics and some contemporary methods in queuing theory. The emphasis will be given on asymptotic analysis; fluid models and diffusion approximations.
Credit 4 hours
Topics

Introduction

  • Characteristics of Queuing Process
  • Poisson Process and the Exponential Distribution
  • Markov chains
  • Queuing Networks

Stability of queuing systems and fluid models

  • Introduction to drift conditions and Lyapunov functions
  • Fluid models and applications

Heavy traffic approximations and diffusion limits

  • G/G/1 queue in heavy traffic
  • Queuing networks in heavy traffic
  • Heavy traffic and optimal control
  • Many-server heavy traffic
Course Prerequisites IE 300 or equivalent course, or consent of instructor.
Topical Prerequisities Course open to graduate students only.