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Title: Minimizing maximum lateness in two-stage projects by tropical optimization (English)
Author: Krivulin, Nikolai
Author: Sergeev, Sergeĭ
Language: English
Journal: Kybernetika
ISSN: 0023-5954 (print)
ISSN: 1805-949X (online)
Volume: 58
Issue: 5
Year: 2022
Pages: 816-841
Summary lang: English
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Category: math
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Summary: We are considering a two-stage optimal scheduling problem, which involves two similar projects with the same starting times for workers and the same deadlines for tasks. It is required that the starting times for workers and deadlines for tasks should be optimal for the first-stage project and, under this condition, also for the second-stage project. Optimality is measured with respect to the maximal lateness (or maximal delay) of tasks, which has to be minimized. We represent this problem as a problem of tropical pseudoquadratic optimization and show how the existing methods of tropical optimization and tropical linear algebra yield a full and explicit solution for this problem. (English)
Keyword: tropical optimization
Keyword: tropical linear algebra
Keyword: minimax optimization problem
Keyword: project scheduling
Keyword: maximum lateness
MSC: 15A80
MSC: 90B35
MSC: 90B50
MSC: 90C24
MSC: 90C47
idZBL: Zbl 07655861
idMR: MR4538627
DOI: 10.14736/kyb-2022-5-0816
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Date available: 2023-01-23T16:37:09Z
Last updated: 2023-03-13
Stable URL: http://hdl.handle.net/10338.dmlcz/151305
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