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Journal of Applied Mathematics
Volume 2014, Article ID 938483, 5 pages
http://dx.doi.org/10.1155/2014/938483
Research Article

Design of Optical Wireless Networks with Fair Traffic Flows

Institute of Telecommunications, Warsaw University of Technology, Poland

Received 7 March 2014; Accepted 7 May 2014; Published 30 June 2014

Academic Editor: Dritan Nace

Copyright © 2014 Artur Tomaszewski. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper presents a method for optimising the wireless optical network that carries elastic packet traffic. The particular focus is on modelling the effect of elastic traffic flows slowing down in response to the decrease of the optical transmission systems’ capacity at bad weather conditions. A mathematical programming model of the network design problem is presented that assumes that the packet rates of elastic traffic flows decrease fairly. While practically any subset of network links can be simultaneously affected by unfavourable transmission conditions, a particular challenge of solving the problem results from a huge number of network states considered in the model. Therefore, how the problem can be solved by generating the most unfavourable network states is presented. Moreover, it is proved that it is entirely sufficient to consider only the states that correspond to the decrease of capacity on a single link. Finally, as the general problem is nonlinear, it is shown that the problem can be transformed to a linear MIP problem and solved effectively when single-path routing of traffic flows is assumed.