## Abstract

We consider the off-line scheduling problem of minimizing the maximal starting time. The input to this problem is a sequence of n jobs and m identical machines. The goal is to assign the jobs to the machines so that the first time in which all jobs have already started their processing is minimized, under the restriction that the processing of the jobs on any given machine must respect their original order. Our main result is a polynomial time approximation scheme for this problem in the case where m is considered as part of the input. As the input to this problem is a sequence of jobs, rather than a set of jobs where the order is insignificant, we present techniques that are designed to handle ordering constraints. Those techniques are combined with common techniques of assignment problems in order to yield a polynomial time approximation scheme.

Original language | English |
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Title of host publication | Mathematical Foundations of Computer Science 2003 (MFCS 2003) |

Editors | Branislav Rovan, Peter Vojtas |

Place of Publication | Berlin, Heidelberg |

Publisher | Springer |

Pages | 408-418 |

Number of pages | 11 |

Volume | 2747 |

ISBN (Electronic) | 9783540451389 |

ISBN (Print) | 9783540406716 |

DOIs | |

State | Published - 2003 |

Externally published | Yes |

Event | 28th International Symposium on Mathematical Foundations of Computer Science, MFCS 2003 - Bratislava, Slovakia Duration: 25 Aug 2003 → 29 Aug 2003 |

### 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 | 2747 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 28th International Symposium on Mathematical Foundations of Computer Science, MFCS 2003 |
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Country/Territory | Slovakia |

City | Bratislava |

Period | 25/08/03 → 29/08/03 |