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Regular version of the site

Article

A note on a single machine scheduling problem with generalized total tardiness objective function

Information Processing Letters. 2012. Vol. 112. No. 3. P. 72-76.
Lazarev A. A., Gafarov E. R., Werner F.

In this note, we consider a single machine scheduling problem with generalized total tardiness objective function. A pseudo-polynomial time solution algorithm is proposed for a special case of this problem. Moreover, we present a new graphical algorithm for another special case, which corresponds to the classical problem of minimizing the weighted number of tardy jobs on a single machine. The latter algorithm improves the complexity of an existing pseudo-polynomial algorithm by Lawler. Computational results are presented for both special cases considered.