Single machine and group scheduling with random learning rates
This study mainly considers the scheduling problems with learning effects, where the learning rate is a random variable and obeys a uniform distribution. In the first part, we introduce a single machine model with location-based learning effects. We have given the theoretical proof of the optimal so...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-06-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023991?viewType=HTML |
| _version_ | 1797794050122711040 |
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| author | Dingyu Wang Chunming Ye |
| author_facet | Dingyu Wang Chunming Ye |
| author_sort | Dingyu Wang |
| collection | DOAJ |
| description | This study mainly considers the scheduling problems with learning effects, where the learning rate is a random variable and obeys a uniform distribution. In the first part, we introduce a single machine model with location-based learning effects. We have given the theoretical proof of the optimal solution for the five objective functions. In the second part, we study the problem with group technology. Both intra-group and inter-group have location-based learning effects, and the learning rate of intra-group jobs follows a uniform distribution. We also give the optimal ranking method and proof for the two problems proposed. |
| first_indexed | 2024-03-13T02:57:10Z |
| format | Article |
| id | doaj.art-06067cd39a7c48229d7259f8aa681218 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-03-13T02:57:10Z |
| publishDate | 2023-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-06067cd39a7c48229d7259f8aa6812182023-06-28T01:07:33ZengAIMS PressAIMS Mathematics2473-69882023-06-0188194271944110.3934/math.2023991Single machine and group scheduling with random learning ratesDingyu Wang 0Chunming Ye11. Business School, University of Shanghai for Science and Technology, Shanghai 200093, China 2. College of Finance and Mathematics, West Anhui University, Lu'an 237012, China1. Business School, University of Shanghai for Science and Technology, Shanghai 200093, ChinaThis study mainly considers the scheduling problems with learning effects, where the learning rate is a random variable and obeys a uniform distribution. In the first part, we introduce a single machine model with location-based learning effects. We have given the theoretical proof of the optimal solution for the five objective functions. In the second part, we study the problem with group technology. Both intra-group and inter-group have location-based learning effects, and the learning rate of intra-group jobs follows a uniform distribution. We also give the optimal ranking method and proof for the two problems proposed.https://www.aimspress.com/article/doi/10.3934/math.2023991?viewType=HTMLstochastic schedulinggroup schedulinglearning effectuniform distribution |
| spellingShingle | Dingyu Wang Chunming Ye Single machine and group scheduling with random learning rates AIMS Mathematics stochastic scheduling group scheduling learning effect uniform distribution |
| title | Single machine and group scheduling with random learning rates |
| title_full | Single machine and group scheduling with random learning rates |
| title_fullStr | Single machine and group scheduling with random learning rates |
| title_full_unstemmed | Single machine and group scheduling with random learning rates |
| title_short | Single machine and group scheduling with random learning rates |
| title_sort | single machine and group scheduling with random learning rates |
| topic | stochastic scheduling group scheduling learning effect uniform distribution |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023991?viewType=HTML |
| work_keys_str_mv | AT dingyuwang singlemachineandgroupschedulingwithrandomlearningrates AT chunmingye singlemachineandgroupschedulingwithrandomlearningrates |