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July  2005, 1(3): 353-358. doi: 10.3934/jimo.2005.1.353

A PTAS for the p-batch scheduling with pj = p to minimize total weighted completion time

Jinjiang Yuan 1, and  Weiping Shang 1,

1. 

Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450052, People's Republic of China

Received  September 2004 Revised  February 2005 Published  July 2005

We consider the single machine parallel-batching scheduling problem with precedence relations, release dates and identical processing times to minimize total weighted completion time. We give a polynomial-time approximation scheme (PTAS) for the problem.
Keywords: Algorithms., Identical processing times, Batch processing, Precedence constraints, Scheduling, Release dates.
Mathematics Subject Classification: 90B35, 90C2.
Citation: Jinjiang Yuan, Weiping Shang. A PTAS for the p-batch scheduling with pj = p to minimize total weighted completion time. Journal of Industrial & Management Optimization, 2005, 1 (3) : 353-358. doi: 10.3934/jimo.2005.1.353
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