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Journal of the ACM (JACM)
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SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
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JCDCG '98 Revised Papers from the Japanese Conference on Discrete and Computational Geometry
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SIGMETRICS '05 Proceedings of the 2005 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
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Proceedings of the 11th annual international conference on Mobile computing and networking
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An efficient approximation scheme for the one-dimensional bin-packing problem
SFCS '82 Proceedings of the 23rd Annual Symposium on Foundations of Computer Science
Interference-Aware Joint Routing and TDMA Link Scheduling for Static Wireless Networks
IEEE Transactions on Parallel and Distributed Systems
Better approximation schemes for disk graphs
SWAT'06 Proceedings of the 10th Scandinavian conference on Algorithm Theory
A robust PTAS for maximum weight independent sets in unit disk graphs
WG'04 Proceedings of the 30th international conference on Graph-Theoretic Concepts in Computer Science
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Operations Research Letters
IEEE Journal on Selected Areas in Communications
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COCOON'07 Proceedings of the 13th annual international conference on Computing and Combinatorics
Capacity region of a wireless mesh backhaul network over the CSMA/CA MAC
INFOCOM'10 Proceedings of the 29th conference on Information communications
Approximate capacity subregions of uniform multihop wireless networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Longest-queue-first scheduling under SINR interference model
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Approximation algorithms for secondary spectrum auctions
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ALGOSENSORS'11 Proceedings of the 7th international conference on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities
Multi-hop routing and scheduling in wireless networks in the SINR model
ALGOSENSORS'11 Proceedings of the 7th international conference on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities
Secondary spectrum auctions for symmetric and submodular bidders
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Stability analyses of longest-queue-first link scheduling in MC-MR wireless networks
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On max-min fair flow optimization in wireless mesh networks
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IEEE/ACM Transactions on Networking (TON)
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This paper studies maximum multicommodity flow and maximum concurrent flow in multihop wireless networks subject to both bandwidth and interference constraints. The existing proof of the NP-hardness of both problems is too contrived to be applicable to meaningful multihop wireless networks. In addition, all known constant-approximation algorithms for both problems restricted to various network classes are super-exponential in running time. Some of them are simply incorrect. In this paper, we first provide a rigorous proof of the NP-hardness of both problems even in very simple settings. Then, we show that both problems restricted to a broad family of multihop wireless networks admit polynomial-time approximation scheme (PTAS). After that, we develop a unified framework for the design and analysis of polynomial approximation algorithms for both problems. Following such framework, we obtain polynomial constant-approximation algorithms for both problems restricted to a broad network family. The approximation ratios of these algorithms are also better than those known in the literature.