## Abstract

Mutual exclusion is a fundamental distributed coordination problem. Shared-memory mutual exclusion research focuses on local-spin algorithms and uses the remote memory references (RMRs) metric. A mutual exclusion algorithm is adaptive to point contention, if its RMR complexity is a function of the maximum number of processes concurrently executing their entry, critical, or exit section. In the best prior art deterministic adaptive mutual exclusion algorithm, presented by Kim and Anderson [22], a process performs O(min(k; logN)) RMRs as it enters and exits its critical section, where k is point contention and N is the number of processes in the system. Kim and Anderson also proved that a deterministic algorithm with o(k) RMR complexity does not exist [21]. However, they describe a randomized mutual exclusion algorithm that has O(log k) expected RMR complexity against an oblivious adversary. All these results apply for algorithms that use only atomic read and write operations. We present a randomized adaptive mutual exclusion algorithms with O(log k/ log log k) expected amortized RMR complexity, even against a strong adversary, for the cachecoherent shared memory read/write model. Using techniques similar to those used in [17], our algorithm can be adapted for the distributed shared memory read/write model. This establishes that sub-logarithmic adaptive mutual exclusion, using reads and writes only, is possible.

Original language | English |
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Title of host publication | PODC'10 - Proceedings of the 2010 ACM Symposium on Principles of Distributed Computing |

Pages | 141-150 |

Number of pages | 10 |

DOIs | |

State | Published - 8 Sep 2010 |

Event | 29th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2010 - Zurich, Switzerland Duration: 25 Jul 2010 → 28 Jul 2010 |

### Conference

Conference | 29th ACM SIGACT-SIGOPS Symposium on Principles of Distributed Computing, PODC 2010 |
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Country/Territory | Switzerland |

City | Zurich |

Period | 25/07/10 → 28/07/10 |

## Keywords

- Adaptive
- Distributed algorithms
- Mutual exclusion
- RMRs
- Remote memory references

## ASJC Scopus subject areas

- Software
- Hardware and Architecture
- Computer Networks and Communications