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- Network Mathematics » Syllabus – Introduction to Optimisation

Condition Karush Khun Tucker System Static Optimization vector space methods Primal Algorithms Simplex Algorithm Gradient Projection Algorithm Dual Algorithms differentiable case only Motivating Examples Network Applications Classical Network Flow Problems Shortest Path Max Flow Min Cut Distributed Network Optimization Kellyâ s Utility Maximization Framework Examples of routing congestion control rate allocation Dynamic Optimization Dynamic Programming Fundamental Concepts and Bellmanâ s Equation Stochastic Shortest Path Infinite Horizon Problems Discounted Cost Average

http://www.networkmaths.ie/courses/syllabus-opt1 (2012-04-11) - Network Mathematics » Numerical Linear Algebra – Syllabus

methods Numerical Solution of Eigenvalue Problems Applications Methods for small scale and large scale standard eigenvalue problems Nonlinear Eigenvalue Problems Applications Linearization Preservation of structure Numerical Solution of Least Squares and Best Fit Problems Applications The singular value decomposition Least squares and total least squares Numerical Linear Algebra in Model Reduction and Control Applications Linear quadratic optimal control Solution of Lyapunov and Riccati equations Model reduction Upcoming Events No events

http://www.networkmaths.ie/courses/syllabus-num (2012-04-11) - Network Mathematics » Syllabus – Markov Processes

jump processes Markov chains and diffusion processes Communication and recurrence Invariant measures stationary distributions and reversibility Laws of Large numbers The Central Limit Theorem Infinitesimal generators and the master equation Markov chain monte carlo Upcoming Events No events Categories event

http://www.networkmaths.ie/courses/syllabus-mar (2012-04-11) - Network Mathematics » Applied Probability and Stochastic Processes – Syllabus

s equations classification of states stationary distributions hitting times examples random walks branching processes Continuous time Markov Chains Kolmogorov s equations stationary distributions examples Poisson process birth and death process Upcoming Events No events Categories event news page Admin Log

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

Nets timing mechanisms and timed event graphs Max Plus Algebra Introductory Example Max plus algebra as an idempotent semiring Max plus algebra and precedence graph properties Linear equations in max plus The max plus eigenvalue problem Industrial example the control of high throughput screening HTS plants Finite State Machines and Regular Languages Supervisory Control Theory Modelling the plant Formal specifications Minimal restrictive control Controller realisation Comparing Finite State Machines and

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

bi partite graphs Paths cycles circuits and trees Connectivity and diameter The adjacency matrix Basic Algorithms Breadth first and depth first search Dijkstra s algorithms Floyd Warshall algorithm Spanning Trees Networks and Flows Ford Fulkerson algorithm Edmonds Karp algorithm Blocking flows Goldberg Tarjan algorithm Coloring and related topics Edge and vertex coloring problems Coloring in communications Modern coloring algorithms Upcoming Events No events Categories event news page Admin Log in

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

existence and uniqueness of equilibria computation of equilibria on line update algorithms and their convergence learning Evolutionary games and evolutionary stable strategies Games with an infinite number of players with a continuum of players Hierarchical games Stackelberg games and equilibria incentive strategies mechanism design complete information versus incomplete information games Stochastic static games private and common information Dynamic games informationally non unique equilibria weak and strong time consistency subgame perfectness

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

inArchive.com, 2018-02-25