Minimizing Makespan in Batch Machine Scheduling

Author(s):  
Chung Keung Poon ◽  
Pixing Zhang
2004 ◽  
Vol 15 (04) ◽  
pp. 593-607 ◽  
Author(s):  
CHUNG KEUNG POON ◽  
WENCI YU

We study the scheduling problem on a batch machine which is capable of processing a batch of jobs at a time. For a batch machine of capacity c, we designed an algorithm for minimizing the total completion time in O(n6c) time (for sufficiently large c). This improves the best previous time bound of O(nc(c-1)) given by Brucker et al [1]. We also designed a new algorithm with running time [Formula: see text].


Algorithmica ◽  
2004 ◽  
Vol 39 (2) ◽  
pp. 155-174 ◽  
Author(s):  
Chung Keung Poon ◽  
Pixing Zhang

2015 ◽  
Vol 62 (6) ◽  
pp. 470-482 ◽  
Author(s):  
B.-Y. Cheng ◽  
J.Y.-T. Leung ◽  
K. Li ◽  
S.-L. Yang

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