## Abstract

The authors prove a lower bound of Omega ( square root logk/loglogk) for the competitive ratio of randomized algorithms for the k-server problem against an oblivious adversary. The bound holds for arbitrary metric spaces (of at least k+1 points) and provides a new lower bound for the metrical task system problem as well. This improves the previous best lower bound of Omega (loglogk) for arbitrary metric spaces, more closely approaching the conjectured lower bound of Omega (logk). They also prove a lower bound of Omega (^{logk}/_{loglogk}) for the server problem on k+1 equally-spaced points on a line, which corresponds to some natural motion-planning problems.

Original language | American English |
---|---|

Title of host publication | Proceedings - 33rd Annual Symposium on Foundations of Computer Science, FOCS 1992 |

Publisher | IEEE Computer Society |

Pages | 197-207 |

Number of pages | 11 |

ISBN (Electronic) | 0818629002 |

DOIs | |

State | Published - 1992 |

Externally published | Yes |

Event | 33rd Annual Symposium on Foundations of Computer Science, FOCS 1992 - Pittsburgh, United States Duration: 24 Oct 1992 → 27 Oct 1992 |

### Publication series

Name | Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS |
---|---|

Volume | 1992-October |

ISSN (Print) | 0272-5428 |

### Conference

Conference | 33rd Annual Symposium on Foundations of Computer Science, FOCS 1992 |
---|---|

Country/Territory | United States |

City | Pittsburgh |

Period | 24/10/92 → 27/10/92 |

### Bibliographical note

Publisher Copyright:© 1992 IEEE.