Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology

In this paper, the single-machine scheduling problem is studied by simultaneously considering due-date assignment and group technology (GT). The objective is to determine the optimal sequence of groups and jobs within groups and optimal due-date assignment to minimize the weighted sum of the absolut...

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Main Authors: Li-Yan Wang, Mengqi Liu, Ji-Bo Wang, Yuan-Yuan Lu, Wei-Wei Liu
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2021/6656261
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author Li-Yan Wang
Mengqi Liu
Ji-Bo Wang
Yuan-Yuan Lu
Wei-Wei Liu
author_facet Li-Yan Wang
Mengqi Liu
Ji-Bo Wang
Yuan-Yuan Lu
Wei-Wei Liu
author_sort Li-Yan Wang
collection DOAJ
description In this paper, the single-machine scheduling problem is studied by simultaneously considering due-date assignment and group technology (GT). The objective is to determine the optimal sequence of groups and jobs within groups and optimal due-date assignment to minimize the weighted sum of the absolute value in lateness and due-date assignment cost, where the weights are position dependent. For the common (CON) due-date assignment, slack (SLK) due-date assignment, and different (DIF) due-date assignment, an On  log  n time algorithm is proposed, respectively, to solve the problem, where n is the number of jobs.
format Article
id doaj-art-63459cb68cab4e81b1a18cd13ef29e5c
institution Kabale University
issn 1076-2787
1099-0526
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-63459cb68cab4e81b1a18cd13ef29e5c2025-02-03T05:52:26ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/66562616656261Optimization for Due-Date Assignment Single-Machine Scheduling under Group TechnologyLi-Yan Wang0Mengqi Liu1Ji-Bo Wang2Yuan-Yuan Lu3Wei-Wei Liu4School of Science, Shenyang Aerospace University, Shenyang 110136, ChinaBusiness School, Hunan University, Changsha 410082, Hunan, ChinaSchool of Science, Shenyang Aerospace University, Shenyang 110136, ChinaCollege of Mathematics, Jilin Normal University, Siping, Jilin, ChinaDepartment of Science, Shenyang Sport University, Shenyang 110102, ChinaIn this paper, the single-machine scheduling problem is studied by simultaneously considering due-date assignment and group technology (GT). The objective is to determine the optimal sequence of groups and jobs within groups and optimal due-date assignment to minimize the weighted sum of the absolute value in lateness and due-date assignment cost, where the weights are position dependent. For the common (CON) due-date assignment, slack (SLK) due-date assignment, and different (DIF) due-date assignment, an On  log  n time algorithm is proposed, respectively, to solve the problem, where n is the number of jobs.http://dx.doi.org/10.1155/2021/6656261
spellingShingle Li-Yan Wang
Mengqi Liu
Ji-Bo Wang
Yuan-Yuan Lu
Wei-Wei Liu
Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
Complexity
title Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
title_full Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
title_fullStr Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
title_full_unstemmed Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
title_short Optimization for Due-Date Assignment Single-Machine Scheduling under Group Technology
title_sort optimization for due date assignment single machine scheduling under group technology
url http://dx.doi.org/10.1155/2021/6656261
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AT mengqiliu optimizationforduedateassignmentsinglemachineschedulingundergrouptechnology
AT jibowang optimizationforduedateassignmentsinglemachineschedulingundergrouptechnology
AT yuanyuanlu optimizationforduedateassignmentsinglemachineschedulingundergrouptechnology
AT weiweiliu optimizationforduedateassignmentsinglemachineschedulingundergrouptechnology