Group Scheduling with Learning Effect and Random Processing Time
In this paper, we establish a stochastic grouping scheduling model. In the model, there is no installation time between the jobs in the same group, but each group has an installation time before processing. There are learning effects between groups and within groups, and the completion time of jobs...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6685149 |
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| _version_ | 1832546054064570368 |
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| author | Dingyu Wang Chunming Ye |
| author_facet | Dingyu Wang Chunming Ye |
| author_sort | Dingyu Wang |
| collection | DOAJ |
| description | In this paper, we establish a stochastic grouping scheduling model. In the model, there is no installation time between the jobs in the same group, but each group has an installation time before processing. There are learning effects between groups and within groups, and the completion time of jobs is a random variable. We take the long expected schedule and the expected total completion time as the objective function, and the noninterruptible static priority strategy is obtained. At the same time, heuristic algorithms and examples are given. |
| format | Article |
| id | doaj-art-45055f1f6e4a457bb53e08a6359ea45e |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-45055f1f6e4a457bb53e08a6359ea45e2025-02-03T07:24:01ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66851496685149Group Scheduling with Learning Effect and Random Processing TimeDingyu Wang0Chunming Ye1Business School, University of Shanghai for Science and Technology, Shanghai, ChinaBusiness School, University of Shanghai for Science and Technology, Shanghai, ChinaIn this paper, we establish a stochastic grouping scheduling model. In the model, there is no installation time between the jobs in the same group, but each group has an installation time before processing. There are learning effects between groups and within groups, and the completion time of jobs is a random variable. We take the long expected schedule and the expected total completion time as the objective function, and the noninterruptible static priority strategy is obtained. At the same time, heuristic algorithms and examples are given.http://dx.doi.org/10.1155/2021/6685149 |
| spellingShingle | Dingyu Wang Chunming Ye Group Scheduling with Learning Effect and Random Processing Time Journal of Mathematics |
| title | Group Scheduling with Learning Effect and Random Processing Time |
| title_full | Group Scheduling with Learning Effect and Random Processing Time |
| title_fullStr | Group Scheduling with Learning Effect and Random Processing Time |
| title_full_unstemmed | Group Scheduling with Learning Effect and Random Processing Time |
| title_short | Group Scheduling with Learning Effect and Random Processing Time |
| title_sort | group scheduling with learning effect and random processing time |
| url | http://dx.doi.org/10.1155/2021/6685149 |
| work_keys_str_mv | AT dingyuwang groupschedulingwithlearningeffectandrandomprocessingtime AT chunmingye groupschedulingwithlearningeffectandrandomprocessingtime |