| Issue |
RAIRO-Oper. Res.
Volume 52, Number 1, January–March 2018
|
|
|---|---|---|
| Page(s) | 55 - 60 | |
| DOI | https://doi.org/10.1051/ro/2017089 | |
| Published online | 18 April 2018 | |
Hierarchical optimization on an unbounded parallel-batching machine★
School of Science, Henan University of Technology,
Zhengzhou
450001,
Henan, PR China
* Corresponding author: hech202@163.com
Received:
1
March
2017
Accepted:
30
November
2017
This paper studies a hierarchical optimization problem on an unbounded parallel-batching machine, in which two objective functions are maximum costs, representing different purposes of two decision-makers. By a hierarchical optimization problem, we mean the problem of optimizing the secondary criterion under the constraint that the primary criterion is optimized. A parallel-batching machine is a machine that can handle several jobs in a batch in which all jobs start and complete respectively at the same time. We present an O(n4)-time algorithm for this hierarchical scheduling problem.
Mathematics Subject Classification: 90B35 / 90C29
Key words: Hierarchical optimization / batching machine / maximum cost
© EDP Sciences, ROADEF, SMAI 2018
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