MathsNet: Research Student Directory

Name Smith, Oliver
Group Industrial and Applied Mathematics
Room B08, Maths
Telephone +44 (0) 115 [direct dial]
Thesis Title Price of Anarchy in Smart Energy Networks: designed versus emergent behaviours
Thesis Abstract The efficiency of routing a resource through a complex network can be measured by the 'price of anarchy'. This is the ratio formed from the optimum cost or consumption of a resource borne by the entire system to that incurred by selfish individual agents or users maximising their gains. With the aid of computer simulations, powerful concepts and principles have recently been identified which serve to locate where peak values in the price of anarchy occur in a parameter space that characterises the degree of structural heterogeneity and volume of activity carried by the network. This provides the capability for the network to be manipulated via its structure and/or loading to achieve desired or emergent outcomes in efficiency. The effectiveness and robustness of these principles will be applied to smart energy networks. These are of greater complexity than those studied hitherto because the resource is no longer a conserved quantity, containing sources and sinks. In particular the effects of individual users being both consumers and producers of power will be studied, and this naturally introduces multiple times-scales into the determination of equilibria.
School contact information School of Mathematical Sciences
University of Nottingham
University Park
Nottingham, NG7 2RD
Tel: +44 (0) 115 951 4949
Fax: +44 (0) 115 951 4951