EAN: 9783737572026

DISTRIBUTED METHODS FOR CONVEX OPTIMISATION - O...

A main issue in wireless sensor networks is the efficient exploitation of the individual energy
resources of the sensor nodes  which communicate with each other by means of energy-demanding
wireless transmissions. To this end  it is essential to regulate and optimise the traffic of
information cooperatively conveyed by the sensors across the networks. The central theme of the
study is the problem of distributed allocation of information flows (routing) in wireless
sensor networks. We are concerned  in particular  with a class of problems falling into the
convex optimisation framework. Focus is set on a family of iterative optimisation algorithms
based on distributed implementations of the gradient projection method-an accepted optimisation
technique known for its simplicity in principle and realisation. An accurate exploration of the
global and asymptotic convergence properties is carried out for several variants of the method
with emphasis on the sequential or random implementations  for which synchronism between the
sensors is not required. In a later part of the report  we address the optimisation of wireless
sensor networks with time-varying properties  and consider this new problem within the
stochastic optimisation framework. Our efforts are directed toward questioning the convergence
in time-varying environments  of some accepted optimisation methods for invariant networks  and
more particularly of the distributed gradient projection algorithms studied in the earlier part
of the report.

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