## Abstract

We introduce the SINR_{k} model, which is a practical version of the SINR model. In the SINR_{k} model, in order to determine whether s’s signal is received at c, where s is a sender and c is a receiver, one only considers the k most significant senders w.r.t. to c (other than s). Assuming uniform power, these are the k closest senders to c (other than s). Under this model, we consider the well-studied scheduling problem: Given a set L of sender-receiver requests, find a partition of L into a minimum number of subsets (rounds), such that in each subset all requests can be satisfied simultaneously. We present an O(1)- approximation algorithm for the scheduling problem (under the SINR_{k} model). For comparison, the best known approximation ratio under the SINR model is O(log n). We also present an O(1)-approximation algorithm for the maximum capacity problem (i.e., for the single round problem), obtaining a constant of approximation which is considerably better than those obtained under the SINR model. Finally, for the special case where k = 1, we present a PTAS for the maximum capacity problem. Our algorithms are based on geometric analysis of the SINR_{k} model.

Original language | English |
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Title of host publication | Algorithms for Sensor Systems - 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014, Revised Selected Papers |

Editors | Jie Gao, Alon Efrat, Sándor P. Fekete, Yanyong Zhang |

Publisher | Springer Verlag |

Pages | 125-135 |

Number of pages | 11 |

ISBN (Electronic) | 9783662460177 |

DOIs | |

State | Published - 1 Jan 2015 |

Event | 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014 - Wroclaw, Poland Duration: 12 Sep 2014 → 12 Sep 2014 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 8847 |

### Conference

Conference | 10th International Symposium on Algorithms and Experiments for Sensor Systems, Wireless Networks and Distributed Robotics, ALGOSENSORS 2014 |
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Country/Territory | Poland |

City | Wroclaw |

Period | 12/09/14 → 12/09/14 |

## All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

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