Article ID Journal Published Year Pages File Type
427221 Information Processing Letters 2012 5 Pages PDF
Abstract

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.

► A single machine problem with a generalized objective function is considered. ► For two special cases, pseudopolynomial algorithms and their graphical modifications are presented. ► Computational results are given for problems with up to 50 jobs.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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