BATCHING MACHINE SCHEDULING WITH BICRITERIA: MAXIMUM COST AND MAKESPAN
Cheng He (),
Hao Lin (),
Jinjiang Yuan () and
Yundong Mu ()
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Cheng He: School of Science, Henan University of Technology, Zhengzhou, Henan 450001, People's Republic of China
Hao Lin: School of Science, Henan University of Technology, Zhengzhou, Henan 450001, People's Republic of China
Jinjiang Yuan: Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450052, People's Republic of China
Yundong Mu: School of Science, Henan University of Technology, Zhengzhou, Henan 450001, People's Republic of China
Asia-Pacific Journal of Operational Research (APJOR), 2014, vol. 31, issue 04, 1-10
Abstract:
In this paper, the problem of minimizing maximum cost and makespan simultaneously on an unbounded parallel-batching machine is considered. An unbounded parallel-batching machine is a machine that can handle any number of jobs in a batch and the processing time of a batch is the largest processing time of jobs in the batch. The main goal of a multicriteria problem is to find Pareto optimal solutions. We present a polynomial-time algorithm to produce all Pareto optimal solutions of this bicriteria scheduling problem.
Keywords: Multicriteria scheduling; batching machine; maximum cost; Pareto optimal solutions; computational complexity (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:31:y:2014:i:04:n:s0217595914500250
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DOI: 10.1142/S0217595914500250
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