Single machine scheduling with preventive maintenances

We consider the single machine total flow time problem in which the jobs are non-resumable and the machine is subject to preventive maintenance activities of known starting times and durations. We propose a branch-and-bound algorithm that employs powerful optimality properties and bounding procedures. Our extensive computational studies show that our algorithm can solve large-sized problem instances with up to 80 jobs in reasonable times. We also study a two-alternative maintenance planning problem with minor and major maintenances. We give a polynomial-time algorithm to find the optimal maintenance times when the job sequence is fixed.


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Citation Formats
S. Batun and M. Azizoğlu, “Single machine scheduling with preventive maintenances,” INTERNATIONAL JOURNAL OF PRODUCTION RESEARCH, pp. 1753–1771, 2009, Accessed: 00, 2020. [Online]. Available: