Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Algorithms for energy-efficient multicasting in static ad hoc wireless networks
Mobile Networks and Applications
Broadcasting in radio networks
Handbook of wireless networks and mobile computing
Constructing minimum-energy broadcast trees in wireless ad hoc networks
Proceedings of the 3rd ACM international symposium on Mobile ad hoc networking & computing
Minimum-energy broadcast in all-wireless networks: NP-completeness and distribution issues
Proceedings of the 8th annual international conference on Mobile computing and networking
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
Energy-efficient broadcast and multicast trees in wireless networks
Mobile Networks and Applications
Minimum-energy broadcasting in static ad hoc wireless networks
Wireless Networks
Energy efficient all-to-all broadcasting for situation awareness in wireless ad hoc networks
Journal of Parallel and Distributed Computing - Special issue on wireless and mobile ad hoc networking and computing
On Minimum-Energy Broadcasting in All-Wireless Networks
LCN '01 Proceedings of the 26th Annual IEEE Conference on Local Computer Networks
Minimum-power multicast routing in static ad hoc wireless networks
IEEE/ACM Transactions on Networking (TON)
Improved approximation results for the minimum energy broadcasting problem
Proceedings of the 2004 joint workshop on Foundations of mobile computing
Tighter Bounds for the Minimum Energy Broadcasting Problem
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Computing Optimal or Near-Optimal Trees for Minimum-Energy Broadcasting in Wireless Networks
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Iterated Local Optimization for Minimum Energy Broadcast
WIOPT '05 Proceedings of the Third International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Exact algorithms for the minimum power symmetric connectivity problem in wireless networks
Computers and Operations Research
IEEE Transactions on Mobile Computing
Minimum-energy broadcasting in multi-hop wireless networks using a single broadcast tree
Mobile Networks and Applications
Energy-efficient broadcasting in all-wireless networks
Wireless Networks
MILCOM'03 Proceedings of the 2003 IEEE conference on Military communications - Volume I
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
International Journal of Ad Hoc and Ubiquitous Computing
Electronic Commerce Research and Applications
Journal of Mathematical Modelling and Algorithms
A fast local search method for minimum energy broadcast in wireless ad hoc networks
Operations Research Letters
Mathematical modeling for optimal design of in-building distributed antenna systems
Computer Networks: The International Journal of Computer and Telecommunications Networking
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Both integer programming models and heuristic algorithms have been proposed for finding minimum-energy broadcast and multicast trees in wireless ad hoc networks. Among heuristic algorithms, the broadcast/multicast incremental power (BIP/MIP) algorithm is most known. The theoretical performance of BIP/MIP has been quantified in several studies. To assess the empirical performance of BIP/MIP and other heuristic algorithms, it is necessary to compute an optimal tree or a very good lower bound of the optimum. In this paper, we present an integer programming approach as well as improved heuristic algorithms. Our integer programming approach comprises a novel integer model and a relaxation scheme. Unlike previously proposed models, the continuous relaxation of our model leads to a very sharp lower bound of the optimum. Our relaxation scheme allows for performance evaluation of heuristics without having to compute optimal trees. Our contributions to heuristic algorithms consist of the power-improving algorithm successive power adjustment (SPA), and improved time complexity of some previously suggested algorithms. We report extensive numerical experiments. Algorithm SPA finds better solutions in comparison to a host of other algorithms. Moreover, the integer programming approach shows that trees found by algorithm SPA are optimal or near-optimal.