This paper studies the bicriteria problem of scheduling n jobs on a serial-batching machine to minimize maximum cost and makespan simultaneously. A serial-batching machine is a machine that can handle up to b jobs in a batch and jobs in a batch start and complete respectively at the same time and the processing time of a batch is equal to the sum of the processing times of jobs in the batch. When a new batch starts, a constant setup time s occurs. We confine ourselves to the unbounded model, where b ≥ n. We present a polynomial-time algorithm for finding all Pareto optimal solutions of this bicriteria scheduling problem.
机构:
Henan Univ Technol, Sch Sci, Zhengzhou 450001, Henan, Peoples R ChinaHenan Univ Technol, Sch Sci, Zhengzhou 450001, Henan, Peoples R China
He, Cheng
Leung, Joseph Y. -T.
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New Jersey Inst Technol, Dept Comp Sci, Newark, NJ 07102 USAHenan Univ Technol, Sch Sci, Zhengzhou 450001, Henan, Peoples R China
Leung, Joseph Y. -T.
Lee, Kangbok
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CUNY York Coll, Dept Econ & Business, 94-20 Guy R Brewer Blvd, Jamaica, NY 11451 USAHenan Univ Technol, Sch Sci, Zhengzhou 450001, Henan, Peoples R China
Lee, Kangbok
Pinedo, Michael L.
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NYU, Stern Sch Business, Dept Informat Operat & Management Sci, 44 West 4th St, New York, NY 10012 USAHenan Univ Technol, Sch Sci, Zhengzhou 450001, Henan, Peoples R China
机构:
Hong Kong Polytech Univ, Off Vice President Res & Postgrad Studies, Kowloon, Hong KongHong Kong Polytech Univ, Off Vice President Res & Postgrad Studies, Kowloon, Hong Kong
Cheng, TCE
Wang, GQ
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机构:Hong Kong Polytech Univ, Off Vice President Res & Postgrad Studies, Kowloon, Hong Kong