TY - GEN

T1 - Multi-hop routing and scheduling in wireless networks in the SINR model

AU - Even, Guy

AU - Matsri, Yakov

AU - Medina, Moti

PY - 2012

Y1 - 2012

N2 - We present an algorithm for multi-hop routing and scheduling of requests in wireless networks in the sinr model. The goal of our algorithm is to maximize the throughput or maximize the minimum ratio between the flow and the demand. Our algorithm partitions the links into buckets. Every bucket consists of a set of links that have nearly equivalent reception powers. We denote the number of nonempty buckets by σ. Our algorithm obtains an approximation ratio of O(σ·log n), where n denotes the number of nodes. For the case of linear powers σ = 1, hence the approximation ratio of the algorithm is O(logn). This is the first practical approximation algorithm for linear powers with an approximation ratio that depends only on n (and not on the max-to-min distance ratio). If the transmission power of each link is part of the input (and arbitrary), then σ ≤ log Γ + log Δ, where Γ denotes the ratio of the max-to-min power, and Δ denotes the ratio of the max-to-min distance. Hence, the approximation ratio is O(log n ·(logΓ + log Δ)). Finally, we consider the case that the algorithm needs to assign powers to each link in a range [P min ,P max ]. An extension of the algorithm to this case achieves an approximation ratio of O[(log n + log log Γ) ·(log Γ + log Δ)].

AB - We present an algorithm for multi-hop routing and scheduling of requests in wireless networks in the sinr model. The goal of our algorithm is to maximize the throughput or maximize the minimum ratio between the flow and the demand. Our algorithm partitions the links into buckets. Every bucket consists of a set of links that have nearly equivalent reception powers. We denote the number of nonempty buckets by σ. Our algorithm obtains an approximation ratio of O(σ·log n), where n denotes the number of nodes. For the case of linear powers σ = 1, hence the approximation ratio of the algorithm is O(logn). This is the first practical approximation algorithm for linear powers with an approximation ratio that depends only on n (and not on the max-to-min distance ratio). If the transmission power of each link is part of the input (and arbitrary), then σ ≤ log Γ + log Δ, where Γ denotes the ratio of the max-to-min power, and Δ denotes the ratio of the max-to-min distance. Hence, the approximation ratio is O(log n ·(logΓ + log Δ)). Finally, we consider the case that the algorithm needs to assign powers to each link in a range [P min ,P max ]. An extension of the algorithm to this case achieves an approximation ratio of O[(log n + log log Γ) ·(log Γ + log Δ)].

UR - http://www.scopus.com/inward/record.url?scp=84857348786&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-28209-6_16

DO - 10.1007/978-3-642-28209-6_16

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AN - SCOPUS:84857348786

SN - 9783642282089

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 202

EP - 214

BT - Algorithms for Sensor Systems - 7th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2011, Revised Selected Papers

T2 - 7th International Symposium on Algorithms for Sensor Systems, Wireless Ad Hoc Networks and Autonomous Mobile Entities, ALGOSENSORS 2011

Y2 - 8 September 2011 through 9 September 2011

ER -