### Abstract

We consider a project that consists of activities operating in parallel under various temporal constraints, including start-to-start, start-to-finish and finish-to-start precedence relations, early-start, late-start and late-finish time boundaries, and due dates. Scheduling problems are formulated to find optimal schedules for the project with respect to different objective functions to be minimized, including the project makespan, the maximum deviation from the due dates, the maximum flow-time, and the maximum deviation of finish times. We represent the problems as optimization problems in terms of tropical mathematics, and then solve these problems by applying direct solution methods of tropical optimization. As a result, new direct solutions of the problems are obtained in a compact vector form, which is ready for further analysis and practical implementation.

Original language | English |
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Title of host publication | MISTA 2015 |

Subtitle of host publication | Proceedings of the 7th Multidisciplinary International Conference on Scheduling: Theory and Applications |

Pages | 492-506 |

Publication status | Published - 2015 |

Event | 7th Multidisciplinary International Conference on Scheduling: Theory and Applications - Prague Duration: 25 Aug 2015 → 28 Aug 2015 Conference number: 7 http://www.schedulingconference.org/previous/?year=2015 |

### Publication series

Name | Proceedings of the Multidisciplinary International Conference on Scheduling: Theory and Applications |
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Publisher | MISTA |

ISSN (Electronic) | 2305-249X |

### Conference

Conference | 7th Multidisciplinary International Conference on Scheduling: Theory and Applications |
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Abbreviated title | MISTA 2015 |

Country | Czech Republic |

City | Prague |

Period | 25/08/15 → 28/08/15 |

Internet address |

### Scopus subject areas

- Management Science and Operations Research
- Control and Optimization

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## Cite this

Кривулин, Н. К. (2015). Tropical optimization problems in project scheduling. In

*MISTA 2015: Proceedings of the 7th Multidisciplinary International Conference on Scheduling: Theory and Applications*(pp. 492-506). (Proceedings of the Multidisciplinary International Conference on Scheduling: Theory and Applications).