Considerations of single-machine scheduling with deteriorating jobs
This paper considers some scheduling problems with deteriorating jobs. The objectives are to minimize the makespan, the total completion time, the total absolute deviation of completion time, the earliness, tardiness, and due date penalty, the sum of earliness penalties subject to no tardy jobs, res...
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Published in | Applied mathematical modelling Vol. 35; no. 10; pp. 5134 - 5142 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
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01.10.2011
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ISSN | 0307-904X |
DOI | 10.1016/j.apm.2011.04.018 |
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Abstract | This paper considers some scheduling problems with deteriorating jobs. The objectives are to minimize the makespan, the total completion time, the total absolute deviation of completion time, the earliness, tardiness, and due date penalty, the sum of earliness penalties subject to no tardy jobs, respectively. We also explore two resource constrained scheduling problems: how to minimize the resource consumption with makespan constraints and how to minimize the makespan with the total resource consumption constraints. Several polynomial time algorithms are proposed to optimally solve the problems with the above objective functions. |
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AbstractList | This paper considers some scheduling problems with deteriorating jobs. The objectives are to minimize the makespan, the total completion time, the total absolute deviation of completion time, the earliness, tardiness, and due date penalty, the sum of earliness penalties subject to no tardy jobs, respectively. We also explore two resource constrained scheduling problems: how to minimize the resource consumption with makespan constraints and how to minimize the makespan with the total resource consumption constraints. Several polynomial time algorithms are proposed to optimally solve the problems with the above objective functions. |
Author | Zhao, Chuan-Li Hsu, Chou-Jung Yang, Dar-Li |
Author_xml | – sequence: 1 givenname: Chuan-Li surname: Zhao fullname: Zhao, Chuan-Li organization: College of Mathematics and Systems Sciences, Shenyang Normal University, Shenyang, Liaoning 110034, People’s Republic of China – sequence: 2 givenname: Chou-Jung surname: Hsu fullname: Hsu, Chou-Jung organization: Department of Industrial Engineering and Management, Nan Kai University of Technology, Nan-Tou 542, Taiwan – sequence: 3 givenname: Dar-Li surname: Yang fullname: Yang, Dar-Li email: dlyang@nfu.edu.tw organization: Department of Information Management, National Formosa University, Yun-Lin 632, Taiwan |
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Keywords | Single-machine Scheduling Deteriorating jobs Resource allocation Task scheduling Makespan Polynomial method Due date Workload Polynomial time Deterioration Resource constraint Earliness Objective function Resource management Single machine Completion time |
Language | English |
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SubjectTerms | Applied sciences Completion time Deteriorating jobs Deterioration Deviation Exact sciences and technology Inventory control, production control. Distribution Mathematical analysis Mathematical models Mathematical programming Operational research and scientific management Operational research. Management science Optimization Resource allocation Scheduling Scheduling, sequencing Single-machine |
Title | Considerations of single-machine scheduling with deteriorating jobs |
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