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Optimal preemptive online scheduling to minimize lp norm on two processors
A PTAS for the p-batch scheduling with pj = p to minimize total weighted completion time
| 1. | Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450052, People's Republic of China |
| [1] |
Chengxin Luo. Single machine batch scheduling problem to minimize makespan with controllable setup and jobs processing times. Numerical Algebra, Control and Optimization, 2015, 5 (1) : 71-77. doi: 10.3934/naco.2015.5.71 |
| [2] |
Ji-Bo Wang, Bo Zhang, Hongyu He. A unified analysis for scheduling problems with variable processing times. Journal of Industrial and Management Optimization, 2022, 18 (2) : 1063-1077. doi: 10.3934/jimo.2021008 |
| [3] |
Zhao-Hong Jia, Ting-Ting Wen, Joseph Y.-T. Leung, Kai Li. Effective heuristics for makespan minimization in parallel batch machines with non-identical capacities and job release times. Journal of Industrial and Management Optimization, 2017, 13 (2) : 977-993. doi: 10.3934/jimo.2016057 |
| [4] |
Mehmet Duran Toksari, Emel Kizilkaya Aydogan, Berrin Atalay, Saziye Sari. Some scheduling problems with sum of logarithm processing times based learning effect and exponential past sequence dependent delivery times. Journal of Industrial and Management Optimization, 2022, 18 (3) : 1795-1807. doi: 10.3934/jimo.2021044 |
| [5] |
Si-Han Wang, Dan-Yang Lv, Ji-Bo Wang. Research on position-dependent weights scheduling with delivery times and truncated sum-of-processing-times-based learning effect. Journal of Industrial and Management Optimization, 2022 doi: 10.3934/jimo.2022066 |
| [6] |
Reza Alizadeh Foroutan, Javad Rezaeian, Milad Shafipour. Bi-objective unrelated parallel machines scheduling problem with worker allocation and sequence dependent setup times considering machine eligibility and precedence constraints. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021190 |
| [7] |
Bin Zheng, Min Fan, Mengqi Liu, Shang-Chia Liu, Yunqiang Yin. Parallel-machine scheduling with potential disruption and positional-dependent processing times. Journal of Industrial and Management Optimization, 2017, 13 (2) : 697-711. doi: 10.3934/jimo.2016041 |
| [8] |
Jiping Tao, Zhijun Chao, Yugeng Xi. A semi-online algorithm and its competitive analysis for a single machine scheduling problem with bounded processing times. Journal of Industrial and Management Optimization, 2010, 6 (2) : 269-282. doi: 10.3934/jimo.2010.6.269 |
| [9] |
Chuanli Zhao, Yunqiang Yin, T. C. E. Cheng, Chin-Chia Wu. Single-machine scheduling and due date assignment with rejection and position-dependent processing times. Journal of Industrial and Management Optimization, 2014, 10 (3) : 691-700. doi: 10.3934/jimo.2014.10.691 |
| [10] |
Xianyu Yu, Dar-Li Yang, Dequn Zhou, Peng Zhou. Multi-machine scheduling with interval constrained position-dependent processing times. Journal of Industrial and Management Optimization, 2018, 14 (2) : 803-815. doi: 10.3934/jimo.2017076 |
| [11] |
Güvenç Şahin, Ravindra K. Ahuja. Single-machine scheduling with stepwise tardiness costs and release times. Journal of Industrial and Management Optimization, 2011, 7 (4) : 825-848. doi: 10.3934/jimo.2011.7.825 |
| [12] |
Min-Fan He, Li-Ning Xing, Wen Li, Shang Xiang, Xu Tan. Double layer programming model to the scheduling of remote sensing data processing tasks. Discrete and Continuous Dynamical Systems - S, 2019, 12 (4&5) : 1515-1526. doi: 10.3934/dcdss.2019104 |
| [13] |
Ping Yan, Ji-Bo Wang, Li-Qiang Zhao. Single-machine bi-criterion scheduling with release times and exponentially time-dependent learning effects. Journal of Industrial and Management Optimization, 2019, 15 (3) : 1117-1131. doi: 10.3934/jimo.2018088 |
| [14] |
Xuewen Huang, Xiaotong Zhang, Sardar M. N. Islam, Carlos A. Vega-Mejía. An enhanced Genetic Algorithm with an innovative encoding strategy for flexible job-shop scheduling with operation and processing flexibility. Journal of Industrial and Management Optimization, 2020, 16 (6) : 2943-2969. doi: 10.3934/jimo.2019088 |
| [15] |
Xingong Zhang. Single machine and flowshop scheduling problems with sum-of-processing time based learning phenomenon. Journal of Industrial and Management Optimization, 2020, 16 (1) : 231-244. doi: 10.3934/jimo.2018148 |
| [16] |
Ji-Bo Wang, Mengqi Liu, Na Yin, Ping Ji. Scheduling jobs with controllable processing time, truncated job-dependent learning and deterioration effects. Journal of Industrial and Management Optimization, 2017, 13 (2) : 1025-1039. doi: 10.3934/jimo.2016060 |
| [17] |
Yanjun Lu, Jie Li, Yan Qiao, Zhiwu Li, Naiqi Wu, Chunrong Pan. An effective scheduling method to single-arm cluster tools for processing multiple wafer types. Journal of Industrial and Management Optimization, 2022 doi: 10.3934/jimo.2022137 |
| [18] |
Christopher Oballe, Alan Cherne, Dave Boothe, Scott Kerick, Piotr J. Franaszczuk, Vasileios Maroulas. Bayesian topological signal processing. Discrete and Continuous Dynamical Systems - S, 2022, 15 (4) : 797-817. doi: 10.3934/dcdss.2021084 |
| [19] |
Yuzhong Zhang, Chunsong Bai, Qingguo Bai, Jianteng Xu. Duplicating in batch scheduling. Journal of Industrial and Management Optimization, 2007, 3 (4) : 685-692. doi: 10.3934/jimo.2007.3.685 |
| [20] |
Jianhong (Jackie) Shen, Sung Ha Kang. Quantum TV and applications in image processing. Inverse Problems and Imaging, 2007, 1 (3) : 557-575. doi: 10.3934/ipi.2007.1.557 |
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