MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER

The problem of scheduling jobs on two parallel machines to minimize the sum of completion times is considered. Each job requires a setup which is done by a single server. It is known that this problem is strongly NP-hard. Two mixed integer linear programming models and a simulated annealing algorith...

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Main Authors: F. Werner, S. A. Kravchenko, K. Hasani
Format: Article
Language:Russian
Published: National Academy of Sciences of Belarus, the United Institute of Informatics Problems 2016-10-01
Series:Informatika
Online Access:https://inf.grid.by/jour/article/view/135
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author F. Werner
S. A. Kravchenko
K. Hasani
author_facet F. Werner
S. A. Kravchenko
K. Hasani
author_sort F. Werner
collection DOAJ
description The problem of scheduling jobs on two parallel machines to minimize the sum of completion times is considered. Each job requires a setup which is done by a single server. It is known that this problem is strongly NP-hard. Two mixed integer linear programming models and a simulated annealing algorithm are proposed. The performance of these algorithms is evaluated for instances with up to 250 jobs.
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publisher National Academy of Sciences of Belarus, the United Institute of Informatics Problems
record_format Article
series Informatika
spelling doaj-art-4ea4de51b9ed41299861f07d62df51412025-08-20T03:02:34ZrusNational Academy of Sciences of Belarus, the United Institute of Informatics ProblemsInformatika1816-03012016-10-01011524134MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVERF. Werner0S. A. Kravchenko1K. Hasani2Университет Магдебурга, ГерманияОбъединенный институт проблем информатики НАН БеларусиИсламский университет Азад, ИранThe problem of scheduling jobs on two parallel machines to minimize the sum of completion times is considered. Each job requires a setup which is done by a single server. It is known that this problem is strongly NP-hard. Two mixed integer linear programming models and a simulated annealing algorithm are proposed. The performance of these algorithms is evaluated for instances with up to 250 jobs.https://inf.grid.by/jour/article/view/135
spellingShingle F. Werner
S. A. Kravchenko
K. Hasani
MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
Informatika
title MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
title_full MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
title_fullStr MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
title_full_unstemmed MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
title_short MINIMIZING MEAN FLOW TIME FOR THE TWO-MACHINE SCHEDULING PROBLEM WITH A SINGLE SERVER
title_sort minimizing mean flow time for the two machine scheduling problem with a single server
url https://inf.grid.by/jour/article/view/135
work_keys_str_mv AT fwerner minimizingmeanflowtimeforthetwomachineschedulingproblemwithasingleserver
AT sakravchenko minimizingmeanflowtimeforthetwomachineschedulingproblemwithasingleserver
AT khasani minimizingmeanflowtimeforthetwomachineschedulingproblemwithasingleserver