An efficient time algorithm for makespan objectives

This paper focuses on a single machine scheduling subject to machine deterioration with rate-modifying activities (RMA). The motivation for this study stems from the automatic-production line problem with one machine. The main question is to find the sequence in which jobs should be scheduled, how m...

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Main Author: Yucel Ozturkoglu
Format: Article
Language:English
Published: Balikesir University 2015-07-01
Series:An International Journal of Optimization and Control: Theories & Applications
Subjects:
Online Access:http://ijocta.balikesir.edu.tr/index.php/files/article/view/260/118
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author Yucel Ozturkoglu
author_facet Yucel Ozturkoglu
author_sort Yucel Ozturkoglu
collection DOAJ
description This paper focuses on a single machine scheduling subject to machine deterioration with rate-modifying activities (RMA). The motivation for this study stems from the automatic-production line problem with one machine. The main question is to find the sequence in which jobs should be scheduled, how many maintenance activity (RMA) to use, if any, and where to insert them in the schedule during the time interval with optimal makespan objective. This problem is known to be NP-hard and we give concise analyses of the problem and provide polynomial time algorithms to solve the makespan problem. We also propose an algorithm which can be applied to some scheduling problems with the actual processing time of job nonlinearly based on its position. This paper focuses on a single machine scheduling subject to machine deterioration with rate-modifying activities (RMA). The motivation for this study stems from the automatic-production line problem with one machine. The main question is to find the sequence in which jobs should be scheduled, how many maintenance activity (RMA) to use, if any, and where to insert them in the schedule during the time interval with optimal makespan objective. This problem is known to be NP-hard and we give concise analyses of the problem and provide polynomial time algorithms to solve the makespan problem. We also propose an algorithm which can be applied to some scheduling problems with the actual processing time of job nonlinearly based on its position.
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spelling doaj.art-47cb2085e63c4e97a40fc798e7dace1a2023-02-15T16:11:55ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032015-07-0152758010.11121/ijocta.01.2015.00260An efficient time algorithm for makespan objectivesYucel OzturkogluThis paper focuses on a single machine scheduling subject to machine deterioration with rate-modifying activities (RMA). The motivation for this study stems from the automatic-production line problem with one machine. The main question is to find the sequence in which jobs should be scheduled, how many maintenance activity (RMA) to use, if any, and where to insert them in the schedule during the time interval with optimal makespan objective. This problem is known to be NP-hard and we give concise analyses of the problem and provide polynomial time algorithms to solve the makespan problem. We also propose an algorithm which can be applied to some scheduling problems with the actual processing time of job nonlinearly based on its position. This paper focuses on a single machine scheduling subject to machine deterioration with rate-modifying activities (RMA). The motivation for this study stems from the automatic-production line problem with one machine. The main question is to find the sequence in which jobs should be scheduled, how many maintenance activity (RMA) to use, if any, and where to insert them in the schedule during the time interval with optimal makespan objective. This problem is known to be NP-hard and we give concise analyses of the problem and provide polynomial time algorithms to solve the makespan problem. We also propose an algorithm which can be applied to some scheduling problems with the actual processing time of job nonlinearly based on its position.http://ijocta.balikesir.edu.tr/index.php/files/article/view/260/118Scheduling; deteriorating jobs; rate-modifying-activity; single machine; makespan
spellingShingle Yucel Ozturkoglu
An efficient time algorithm for makespan objectives
An International Journal of Optimization and Control: Theories & Applications
Scheduling; deteriorating jobs; rate-modifying-activity; single machine; makespan
title An efficient time algorithm for makespan objectives
title_full An efficient time algorithm for makespan objectives
title_fullStr An efficient time algorithm for makespan objectives
title_full_unstemmed An efficient time algorithm for makespan objectives
title_short An efficient time algorithm for makespan objectives
title_sort efficient time algorithm for makespan objectives
topic Scheduling; deteriorating jobs; rate-modifying-activity; single machine; makespan
url http://ijocta.balikesir.edu.tr/index.php/files/article/view/260/118
work_keys_str_mv AT yucelozturkoglu anefficienttimealgorithmformakespanobjectives
AT yucelozturkoglu efficienttimealgorithmformakespanobjectives