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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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Citations: View citations in EconPapers (1)

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DOI: 10.1142/S0217595914500250

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