Scheduling Job Families on a Single Machine

The problem of scheduling n jobs on a single machine is considered, where the jobs are partitioned into several families and a set – up time is necessary between jobs of different families. The objective is to find a lower bound for the problem of minimizing the sum of completion times and the maxi...

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Main Authors: Adawiyah A. Mahmood, Naji M. Saheab
Format: Article
Language:English
Published: University of Baghdad, College of Science for Women 2010-12-01
Series:مجلة بغداد للعلوم
Subjects:
Online Access:https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11937
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author Adawiyah A. Mahmood
Naji M. Saheab
author_facet Adawiyah A. Mahmood
Naji M. Saheab
author_sort Adawiyah A. Mahmood
collection DOAJ
description The problem of scheduling n jobs on a single machine is considered, where the jobs are partitioned into several families and a set – up time is necessary between jobs of different families. The objective is to find a lower bound for the problem of minimizing the sum of completion times and the maximum tardiness. This paper uses a decomposition property to find a lower bound in order to incorporated in a branch and bound algorithm for constructing an optimal schedule.
format Article
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institution Kabale University
issn 2078-8665
2411-7986
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publisher University of Baghdad, College of Science for Women
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series مجلة بغداد للعلوم
spelling doaj-art-5d44430b19df468a9890987e7abd60672025-08-20T03:33:03ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862010-12-017410.21123/bsj.2010.11937Scheduling Job Families on a Single MachineAdawiyah A. MahmoodNaji M. Saheab The problem of scheduling n jobs on a single machine is considered, where the jobs are partitioned into several families and a set – up time is necessary between jobs of different families. The objective is to find a lower bound for the problem of minimizing the sum of completion times and the maximum tardiness. This paper uses a decomposition property to find a lower bound in order to incorporated in a branch and bound algorithm for constructing an optimal schedule. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11937Scheduling, Set-up time, Multiple objective
spellingShingle Adawiyah A. Mahmood
Naji M. Saheab
Scheduling Job Families on a Single Machine
مجلة بغداد للعلوم
Scheduling, Set-up time, Multiple objective
title Scheduling Job Families on a Single Machine
title_full Scheduling Job Families on a Single Machine
title_fullStr Scheduling Job Families on a Single Machine
title_full_unstemmed Scheduling Job Families on a Single Machine
title_short Scheduling Job Families on a Single Machine
title_sort scheduling job families on a single machine
topic Scheduling, Set-up time, Multiple objective
url https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/11937
work_keys_str_mv AT adawiyahamahmood schedulingjobfamiliesonasinglemachine
AT najimsaheab schedulingjobfamiliesonasinglemachine