 Common operation scheduling with general processing times: A branch-and-cut algorithm to minimize the weighted number of tardy jobsClaudio Arbib, Giovanni Felici and Mara Servilio Omega, 2019, vol. 84, issue C, 18-30 Abstract: Common operation scheduling (COS) problems arise in real-world applications, such as industrial processes of material cutting or component dismantling. In COS, distinct jobs may share operations, and when an operation is done, it is done for all the jobs that share it. We here propose a 0-1 LP formulation with exponentially many inequalities to minimize the weighted number of tardy jobs. Separation of inequalities is in NP, provided that an ordinary min Lmax scheduling problem is in P. We develop a branch-and-cut algorithm for two cases: one machine with precedence relation; identical parallel machines with unit operation times. In these cases separation is the constrained maximization of a submodular set function. A previous method is modified to tackle the two cases, and compared to our algorithm. We report on tests conducted on both industrial and artificial instances. For single machine and general processing times the new method definitely outperforms the other, extending in this way the range of COS applications. Keywords: Scheduling; Pattern sequencing; Integer linear programming; Cover inequalities; Constrained submodular maximization (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:jomega:v:84:y:2019:i:c:p:18-30 Ordering information: This journal article can be ordered from DOI: 10.1016/j.omega.2018.04.002 Access Statistics for this article Omega is currently edited by B. Lev More articles in Omega from Elsevier |
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