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- Network Mathematics » Registration Completed

will receive an email shortly confirming your registration details If you have not received a confirmation email within one week please send an email to oliver dot mason at nuim dot ie Upcoming Events No events Categories event news page

http://www.networkmaths.ie/registration-completed (2012-04-11) - Network Mathematics » Syllabus – Applied Optimisation

General Formulation Special Cases Linear Programs Convex Optimisation Problems Motivating Examples Linear Programming General form Simplex Method Applications in Network Flow Convex Optimisation Algorithms for Convex Optimisation Applications of Convex Optimisation Convex Optimisation in Communications and Signal Processing Convex Optimisation in Wireless Communications General Optimisation Mixed Integer Programming Algorithms and Heuristics Applications to VLSI and other relevant applications Upcoming Events No events Categories event news page Admin Log in RSS

http://www.networkmaths.ie/courses/syllabus-opt2 (2012-04-11) - Network Mathematics » Reading and Course Material – Fundamental of Probability

Linear Algebra Lecture Notes Fundamentals of Probability Further Reading P Billingsley Probability and Measure Wiley Inter Science Y Suhov and M Kelbert Probability and statistics by example Vol I Cambridge University Press Upcoming Events No events Categories event news page

http://www.networkmaths.ie/courses/reading-pro (2012-04-11) - Network Mathematics » Network Architecture and Algorithms via Optimization – Syllabus

Syllabus Network Architecture and Algorithms via Optimization Mathematical Background Convex Optimization Stability of Dynamical Systems and Discrete time Markov Chains Utility Maximization and Resource Allocation in the Internet Statistical Multiplexing at Links Scheduling in High Speed Switches Scheduling in Wireless Networks Utility Maximization for Joint Congestion Control Routing and Scheduling Distributed Algorithms and Complexity Upcoming Events No events Categories event news page Admin Log in RSS Hamilton Institute National University

http://www.networkmaths.ie/courses/syllabus-sri (2012-04-11) - Network Mathematics » Queueing Theory – Syllabus

M 1 queue The M M 1 N queue The M M c queue The M G 1 queue Queue length distribution Waiting time distribution Busy period Multi class generalizations of the M G 1 queue Conservation laws Queues with priorities Polling models Networks of queues Jackson networks and product forms The Erlang loss model and the machine repair model The Mean Value Analysis algorithm Throughout the lectures examples will

http://www.networkmaths.ie/courses/syllabus-que (2012-04-11) - Network Mathematics » Syllabus – Fundamentals of Probability

tools stochastic processes Generating Functions and Inequalities Moments and moment generating function Inequalities Markov Chebyshev Jensen Holder Conditional probabilities and conditional expectation Markov Chains Discrete time Markov chains finite state space absorbing chains ergodic chains stationary distributions fundamental matrix Discrete time Markov chains countable state space classification of states and chains time reversible chains Stopping times Limit Theorems Modes of convergence for sequence of random variables Weak Law of Large

http://www.networkmaths.ie/courses/syllabus-pro (2012-04-11) - Network Mathematics » Syllabus – Positive Systems

positive matrices Frobenius theorem for nonnegative irreducible matrices Stochastic matrices and Markov chains Graphs and Matrices Incidence matrices Laplacians Colin de Verdiere parameters Stability and Convergence Z matrices M matrices and P matrices Stability Diagonal stability and D stability Paracontractivity and Projective metrices Applications and Extensions Nonnegative matrices and the internet Google congestion control Completely positive matrices Extensions of the Perron Frobenius theory Upcoming Events No events Categories event news

http://www.networkmaths.ie/courses/syllabus-pos (2012-04-11)

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