Hierarchical optimization with double due dates on an unbounded parallel-batching machine to minimize maximum lateness

Cheng He () and Hao Lin
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Cheng He: Henan University of Technology
Hao Lin: Henan University of Technology

4OR, 2016, vol. 14, issue 2, No 3, 153-164

Abstract: Abstract This paper studies a hierarchical optimization problem on an unbounded parallel-batching machine, in which two objective functions are maximum lateness induced by two sets of due dates, 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 $$O(n\log P)$$ O ( n log P ) -time algorithm and an $$O(n^3)$$ O ( n 3 ) -time algorithm for this hierarchical scheduling problem, where P is the total processing time of all jobs.

Keywords: Hierarchical optimization; Batching machine; Double due dates; Maximum lateness; 90B35 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s10288-015-0299-2

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