Citation
Tropical optimization problems in project scheduling. In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic, pages 492-506, 2015.
Paper
Abstract
We consider a project that consists of activities operating in parallel under various temporal constraints, including start-to-start, start-to-?nish and ?nish-to-start precedence relations, early-start, late-start and late-?nish time boundaries, and due dates. Scheduling problems are formulated to ?nd 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 ?ow-time, and the maximum deviation of ?nish 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.
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Bibtex
@INPROCEEDINGS{2015-492-506-P, author = {N. Krivulin},
title = {Tropical optimization problems in project scheduling},
booktitle = {In proceedings of the 7th Multidisciplinary International Conference on Scheduling : Theory and Applications (MISTA 2015), 25 - 28 Aug 2015, Prague, Czech Republic},
year = {2015},
editor = {Z. Hanzalek and G. Kendall and B. McCollum and P. Sucha},
pages = {492--506},
note = {Paper},
abstract = {We consider a project that consists of activities operating in parallel under various temporal constraints, including start-to-start, start-to-?nish and ?nish-to-start precedence relations, early-start, late-start and late-?nish time boundaries, and due dates. Scheduling problems are formulated to ?nd 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 ?ow-time, and the maximum deviation of ?nish 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.},
owner = {Graham},
timestamp = {2017.01.16},
webpdf = {2015-492-506-P.pdf} }