Title
The NP-Hardness of Minimizing the Total Late Work on an Unbounded Batch Machine
Abstract
We consider the problem of minimizing the total late work (Sigma(n)(j=1) V-j) on an unbounded batch processing machine, where V-j = min{T-j, p(j)} and T-j = max{C-j-d(j), 0}. The batch processing machine can process up to B (B >= n) jobs simultaneously. The jobs that are processed together form a batch, and all jobs in a batch start and complete at the same time, respectively. For a batch of jobs, the processing time of the batch is equal to the largest processing time among the jobs in this batch. In this paper, we prove that the problem 1 vertical bar B >= n vertical bar Sigma(n)(j=1) V-j is NP-hard.
Year
DOI
Venue
2009
10.1142/S0217595909002249
ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH
Keywords
Field
DocType
Scheduling,batching machine,late work,NP-hardness
Scheduling (computing),Real-time computing,Mathematics,Batch processing machine
Journal
Volume
Issue
ISSN
26
3
0217-5959
Citations 
PageRank 
References 
6
0.52
9
Authors
3
Name
Order
Citations
PageRank
Jianfeng Ren129116.97
Yuzhong Zhang225225.71
Guo Sun361.20