## Abstract

Consider a real-time system in which every task has a value that it obtains only if it completes by its deadline. The problem is to design an on-line scheduling algorithm (i.e., the scheduler has no knowledge of a task until it is released) that maximizes the guaranteed value obtained by the system. When such a system is underloaded (i.e., there exists a schedule for which all tasks meet their deadlines), Dertouzos [Proceedings IFIF Congress, 1974, pp. 807-813] showed that the earliest deadline first algorithm will achieve 100% of the possible value. Locke [Ph.D. thesis, Computer Science Dept., Carnegie-Mellon Univ., Pittsburgh, PA] showed that earliest deadline first performs very badly, however, when the system is overloaded, and he proposed heuristics to deal with overload. This paper presents an optimal on-line scheduling algorithm for overloaded uniprocessor systems. It is optimal in the sense that it gives the best competitive ratio possible relative to an off-line scheduler.

Original language | English (US) |
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Pages (from-to) | 318-339 |

Number of pages | 22 |

Journal | SIAM Journal on Computing |

Volume | 24 |

Issue number | 2 |

DOIs | |

State | Published - 1995 |

## ASJC Scopus subject areas

- Computer Science(all)
- Mathematics(all)

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