Tropical optimization problems in project scheduling

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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 languageEnglish
Title of host publicationMISTA 2015
Subtitle of host publicationProceedings of the 7th Multidisciplinary International Conference on Scheduling: Theory and Applications
Pages492-506
Publication statusPublished - 2015
Event7th Multidisciplinary International Conference on Scheduling: Theory and Applications - Prague
Duration: 25 Aug 201528 Aug 2015
Conference number: 7
http://www.schedulingconference.org/previous/?year=2015

Publication series

NameProceedings of the Multidisciplinary International Conference on Scheduling: Theory and Applications
PublisherMISTA
ISSN (Electronic)2305-249X

Conference

Conference7th Multidisciplinary International Conference on Scheduling: Theory and Applications
Abbreviated titleMISTA 2015
CountryCzech Republic
CityPrague
Period25/08/1528/08/15
Internet address

Scopus subject areas

  • Management Science and Operations Research
  • Control and Optimization

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    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).