Tang et al. (Eur J Oper Res 263:401–411, 2017) have recently introduced a parallel-batching machine scheduling problem with linearly deteriorating jobs of two agents and presented a computational complexity classification of various special cases of this problem, including a number of NP-hardness proofs. We refine these results by demonstrating strong NP-hardness of several special cases, which are proved NP-hard in the ordinary sense in Tang et al. (Eur J Oper Res 263:401–411, 2017). Our reduction employs the problem studied in the first issue of Journal of Scheduling.
机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Gao, Yuan
Yuan, Jinjiang
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Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Yuan, Jinjiang
Ng, C. T.
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Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Ng, C. T.
Cheng, T. C. E.
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Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
机构:
Ludong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R China
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Fan, B. Q.
Cheng, T. C. E.
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Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Cheng, T. C. E.
Li, S. S.
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Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Li, S. S.
Feng, Q.
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Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Gao, Yuan
Yuan, Jinjiang
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机构:
Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Yuan, Jinjiang
Ng, C. T.
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Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
Ng, C. T.
Cheng, T. C. E.
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h-index: 0
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Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaZhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China
机构:
Ludong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R China
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Fan, B. Q.
Cheng, T. C. E.
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h-index: 0
机构:
Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Kowloon, Hong Kong, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Cheng, T. C. E.
Li, S. S.
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h-index: 0
机构:
Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China
Li, S. S.
Feng, Q.
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h-index: 0
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Zhengzhou Univ, Dept Math, Zhengzhou 450001, Henan, Peoples R ChinaLudong Univ, Dept Math & Informat, Yantai 264025, Shandong, Peoples R China