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EOR
2007

Bi-criteria scheduling problems: Number of tardy jobs and maximum weighted tardiness

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Bi-criteria scheduling problems: Number of tardy jobs and maximum weighted tardiness
Consider a single machine and a set of   jobs that are available for processing at time 0. Job ¡ has a processing time ¢¤£ , a due date ¥¦£ and a weight §¨£ . We consider bi-criteria scheduling problems involving the maximum weighted tardiness and the number of tardy jobs. We give NPhardness proofs for the scheduling problems when either one of the two criteria is the primary criterion and the other one is the secondary criterion. These results answer two open questions posed by Lee and Vairaktarakis in 1993. We consider complexity relationships between the various problems, give polynomial-time algorithms for some special cases, and propose fast heuristics for the general case. The effectiveness of the heuristics is measured by empirical study. Our results show that one heuristic performs extremely well compared to optimal solutions.
Yumei Huo, Joseph Y.-T. Leung, Hairong Zhao
Added 13 Dec 2010
Updated 13 Dec 2010
Type Journal
Year 2007
Where EOR
Authors Yumei Huo, Joseph Y.-T. Leung, Hairong Zhao
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