2008
DOI: 10.1016/j.cor.2006.08.015
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Parallel machine scheduling with almost periodic maintenance and non-preemptive jobs to minimize makespan

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Cited by 84 publications
(26 citation statements)
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“…Qi et al [35] proved that the maintenance scheduling on a single machine is NP-hard problem by reducing it to distance-constrained VRP (vehicle routing problem). Xu et al [49] modelled parallel machine scheduling with -almost periodic maintenance constraint, which means that the time between any two consecutive maintenance is within the interval ½T; T 0 , where T and T 0 are positive real numbers and T 0 À T\. Consequently, it can be concluded that the nature of the addressed problem in this paper is also NP-hard.…”
Section: Model Descriptionmentioning
confidence: 99%
“…Qi et al [35] proved that the maintenance scheduling on a single machine is NP-hard problem by reducing it to distance-constrained VRP (vehicle routing problem). Xu et al [49] modelled parallel machine scheduling with -almost periodic maintenance constraint, which means that the time between any two consecutive maintenance is within the interval ½T; T 0 , where T and T 0 are positive real numbers and T 0 À T\. Consequently, it can be concluded that the nature of the addressed problem in this paper is also NP-hard.…”
Section: Model Descriptionmentioning
confidence: 99%
“…Although scheduling with machine maintenance has attracted many researchers' attentions in the last three decades, most of the past research mainly focuses on prefixed maintenance durations, see, e.g., Qi et al (1999), Liao and Chen (2003), Chen (2006aChen ( , b, 2008aChen ( , 2007aChen ( , b, 2009, Qi (2007), Sheen and Liao (2007), Ji et al (2007), Sbihi and Varnier (2008), Xu et al (2008Xu et al ( , 2009Xu et al ( , 2014, Sun and Li (2010), Xu and Yin (2011), Xu and Yang (2013), Shi and Xu (2014). However, as can be seen in many production systems, the time needed to perform a maintenance activity is not usually prefixed but depends on many factors such as the degree of tool wear, the amount of fuel to be filled, and the proficiency level of the maintenance workers.…”
Section: Introductionmentioning
confidence: 99%
“…Other models consider maintenance scheduling in a flow-shop environment [3], on parallel identical machines [4], a flexible maintenance [5], and a periodic maintenance (see e.g. [6][7][8]). A slightly different paper [9] focuses on scheduling a deteriorating maintenance in flow-shops and open-shops.…”
Section: Introductionmentioning
confidence: 99%