2019
DOI: 10.1177/1687814019892430
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A parallel-machine scheduling with periodic constraints under uncertainty

Abstract: Most studies on scheduling problem have assumed that the machine is continuously available. However, the machine is likely to be unavailable for many practical reasons (e.g. breakdown and planned preventive maintenance). Once a machine is not available, the optimal scheme in the deterministic scenario may not be the optimal choice. To address the actual scenario, a scheduling problem with two identical parallel machines, one of which requires periodic maintenance, is considered in this article. For uncertainti… Show more

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Cited by 2 publications
(2 citation statements)
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References 30 publications
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“…Mokotoff et al (2001) introduced a list scheduling algorithm to solve the scheduling problem of minimizing the makespan on identical machines. Shen and Zhu (2019) designed an improved LPT algorithm to solve the uncertainties and stochastic events, such as machine breakdowns, during job scheduling. Furthermore, job scheduling always encounters multiple objectives in practice; thus, numerous multi-objective approaches have been established.…”
Section: Parallel Machine Scheduling Problemmentioning
confidence: 99%
“…Mokotoff et al (2001) introduced a list scheduling algorithm to solve the scheduling problem of minimizing the makespan on identical machines. Shen and Zhu (2019) designed an improved LPT algorithm to solve the uncertainties and stochastic events, such as machine breakdowns, during job scheduling. Furthermore, job scheduling always encounters multiple objectives in practice; thus, numerous multi-objective approaches have been established.…”
Section: Parallel Machine Scheduling Problemmentioning
confidence: 99%
“…Actually, some abnormal events happen in actual production, such as additional roller grinding task and the breakdown of the grinding machine, causing the numbers of the rollers to be processed and the available grinding machines. 38 Also, the time of grinding or cooling process is not always certain in some circumstances. Considering the cases above, the position sensors are fixed on the roller positions of the processing zones, and the temperature sensors are also fixed on the roller positions of the cooling zone.…”
Section: Further Analysismentioning
confidence: 99%