A bound for the total tardiness problem on a single machine

W. P. Galvin, I. M. Wanless

Research output: Contribution to journalArticleResearchpeer-review

Abstract

We present a simple result in single-machine scheduling theory. Namely, the number of tardy jobs in a sequence which is optimal with respect to total tardiness is no greater than the number of tardy jobs in the earliest due date sequence. This provides a bound for solutions to the total tardiness problem on a single machine found using branch and bound, dynamic programming or the decomposition method.

Original languageEnglish
Pages (from-to)155-163
Number of pages9
JournalAustralasian Journal of Combinatorics
Volume16
Publication statusPublished - 1 Dec 1997
Externally publishedYes

Cite this