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Bounds on delay start LPT algorithm for scheduling on two identical machines in the $l_p$ norm
1. | Department of Fundamental Education, Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China |
2. | Department of Mathematics, State Key Lab of CAD & CG, Zhejiang University, Hangzhou 310027, China, China |
[1] |
Peter Weidemaier. Maximal regularity for parabolic equations with inhomogeneous boundary conditions in Sobolev spaces with mixed $L_p$-norm. Electronic Research Announcements, 2002, 8: 47-51. |
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Leiyang Wang, Zhaohui Liu. Heuristics for parallel machine scheduling with batch delivery consideration. Journal of Industrial and Management Optimization, 2014, 10 (1) : 259-273. doi: 10.3934/jimo.2014.10.259 |
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Min Ji, Xinna Ye, Fangyao Qian, T.C.E. Cheng, Yiwei Jiang. Parallel-machine scheduling in shared manufacturing. Journal of Industrial and Management Optimization, 2022, 18 (1) : 681-691. doi: 10.3934/jimo.2020174 |
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Xianzhao Zhang, Dachuan Xu, Donglei Du, Cuixia Miao. Approximate algorithms for unrelated machine scheduling to minimize makespan. Journal of Industrial and Management Optimization, 2016, 12 (2) : 771-779. doi: 10.3934/jimo.2016.12.771 |
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Hongtruong Pham, Xiwen Lu. The inverse parallel machine scheduling problem with minimum total completion time. Journal of Industrial and Management Optimization, 2014, 10 (2) : 613-620. doi: 10.3934/jimo.2014.10.613 |
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Mathias Wilke. $L_p$-theory for a Cahn-Hilliard-Gurtin system. Evolution Equations and Control Theory, 2012, 1 (2) : 393-429. doi: 10.3934/eect.2012.1.393 |
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Jian Lu, Huaiyu Jian. Topological degree method for the rotationally symmetric $L_p$-Minkowski problem. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 971-980. doi: 10.3934/dcds.2016.36.971 |
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Hua-Ping Wu, Min Huang, W. H. Ip, Qun-Lin Fan. Algorithms for single-machine scheduling problem with deterioration depending on a novel model. Journal of Industrial and Management Optimization, 2017, 13 (2) : 681-695. doi: 10.3934/jimo.2016040 |
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Alireza Goli, Taha Keshavarz. Just-in-time scheduling in identical parallel machine sequence-dependent group scheduling problem. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021124 |
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Ahmad Mousavi, Zheming Gao, Lanshan Han, Alvin Lim. Quadratic surface support vector machine with L1 norm regularization. Journal of Industrial and Management Optimization, 2022, 18 (3) : 1835-1861. doi: 10.3934/jimo.2021046 |
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Karina Samvelyan, Frol Zapolsky. Rigidity of the ${{L}^{p}}$-norm of the Poisson bracket on surfaces. Electronic Research Announcements, 2017, 24: 28-37. doi: 10.3934/era.2017.24.004 |
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Donglei Du, Tianping Shuai. Errata to:''Optimal preemptive online scheduling to minimize $l_{p}$ norm on two processors''[Journal of Industrial and Management Optimization, 1(3) (2005), 345-351.]. Journal of Industrial and Management Optimization, 2008, 4 (2) : 339-341. doi: 10.3934/jimo.2008.4.339 |
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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 |
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Zhichao Geng, Jinjiang Yuan. Scheduling family jobs on an unbounded parallel-batch machine to minimize makespan and maximum flow time. Journal of Industrial and Management Optimization, 2018, 14 (4) : 1479-1500. doi: 10.3934/jimo.2018017 |
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Stefan Meyer, Mathias Wilke. Global well-posedness and exponential stability for Kuznetsov's equation in $L_p$-spaces. Evolution Equations and Control Theory, 2013, 2 (2) : 365-378. doi: 10.3934/eect.2013.2.365 |
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Kyeong-Hun Kim, Kijung Lee. A weighted $L_p$-theory for second-order parabolic and elliptic partial differential systems on a half space. Communications on Pure and Applied Analysis, 2016, 15 (3) : 761-794. doi: 10.3934/cpaa.2016.15.761 |
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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 |
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Ildoo Kim. An $L_p$-Lipschitz theory for parabolic equations with time measurable pseudo-differential operators. Communications on Pure and Applied Analysis, 2018, 17 (6) : 2751-2771. doi: 10.3934/cpaa.2018130 |
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Xuerui Gao, Yanqin Bai, Shu-Cherng Fang, Jian Luo, Qian Li. A new hybrid $ l_p $-$ l_2 $ model for sparse solutions with applications to image processing. Journal of Industrial and Management Optimization, 2021 doi: 10.3934/jimo.2021211 |
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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 |
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