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Scheduling Parallel Machines for the Customer Order Problem with Fixed Batch Sequence  

Yang, Jaehwan (LG CNS Ltd.)
Publication Information
Journal of Korean Institute of Industrial Engineers / v.29, no.4, 2003 , pp. 304-311 More about this Journal
Abstract
This paper considers a new variation of scheduling problems where jobs are dispatched in batches. The variation is the case where the batch sequence is fixed. The objective is to minimize the sum of the completion times of the batches. This simple environment has a variety of real world applications such as part kitting and customer order scheduling. We show that this problem is binary NP-complete when there exist two machines. For the same problem, we develop an optimal dynamic programming (DP) algorithm which runs in pseudo-polynomial time. We finally prove the optimality of the DP algorithm.
Keywords
batch scheduling; kitting; customer order scheduling; computational complexity; dynamic programming;
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