SOME IMPROVED ALGORITHMS ON THE SINGLE MACHINE HIERARCHICAL SCHEDULING WITH TOTAL TARDINESS AS THE PRIMARY CRITERION
Cheng He (),
Yixun Lin and
Jinjiang Yuan
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Cheng He: Institute of Science, Information Engineering University of PLA, Zhengzhou, Henan 450001, People's Republic of China;
Yixun Lin: Institute of Science, Information Engineering University of PLA, Zhengzhou, Henan 450001, People's Republic of China
Jinjiang Yuan: Institute of Science, Information Engineering University of PLA, Zhengzhou, Henan 450001, People's Republic of China
Asia-Pacific Journal of Operational Research (APJOR), 2010, vol. 27, issue 05, 577-585
Abstract:
It is well-known that a single machine scheduling problem of minimizing the total tardiness is NP-hard. Recently, Liu, Ng and Cheng solved some special hierarchical minimization problems with total tardiness as the primary criterion by the Algorithm TAP (Two Assignment Problems) inO(n3)time. And in this paper we present some algorithms for these problems with running timeO(n log n).
Keywords: Bicriteria scheduling; total tardiness; batch processing machine (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:wsi:apjorx:v:27:y:2010:i:05:n:s0217595910002867
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DOI: 10.1142/S0217595910002867
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