Proceedings of the 6th ACM international symposium on Mobile ad hoc networking and computing
A Cross-Layer Optimization Framework for Multicast in Multi-hop Wireless Networks
WICON '05 Proceedings of the First International Conference on Wireless Internet
QoS routing in multi-hop wireless networks: a new model and algorithm
QoS-IP'05 Proceedings of the Third international conference on Quality of Service in Multiservice IP Networks
Cross-layer optimization of wireless networks using nonlinear column generation
IEEE Transactions on Wireless Communications
GUB Covers and Power-Indexed Formulations for Wireless Network Design
Management Science
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This paper addresses the problem of simultaneously optimizing power consumption and routing in multi-hop wireless networks while forcing the satisfaction of the required transmission demands between given origin-destination pairs. We devise a linear programming model for the selection of optimal routes and transmission schemes where both the power and link capacity levels are suitably discretized. Since the constraint matrix of such a model contains a huge number of columns, we propose an exact algorithm for its solution based on a column-generation approach. The associated column-generation procedure is based on the solution of linear integer programming models. We report some computational results on networks with up to 65 nodes, showing the feasibility of our solution approach.