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Minimizing impact of bounded uncertainty on McNaughton's scheduling algorithm via interval programming
conference contribution
posted on 2013-01-01, 00:00 authored by A Hossny, Saeid Nahavandi, Douglas CreightonDouglas CreightonUncertainty of data affects decision making process as it increases the risk and the costs of the decision. One of the challenges in minimizing the impact of the bounded uncertainty on any scheduling algorithm is the lack of information, as only the upper bound and the lower bound are provided without any known probability or membership function. On the contrary, probabilistic uncertainty can use probability distributions and fuzzy uncertainty can use the membership function. McNaughton's algorithm is used to find the optimum schedule that minimizes the makespan taking into consideration the preemption of tasks. The challenge here is the bounded inaccuracy of the input parameters for the algorithm, namely known as bounded uncertain data. This research uses interval programming to minimise the impact of bounded uncertainty of input parameters on McNaughton’s algorithm, it minimises the uncertainty of the cost function estimate and increase its optimality. This research is based on the hypothesis that doing the calculations on interval values then approximate the end result will produce more accurate results than approximating each interval input then doing numerical calculations.
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Event
IEEE Systems, Man and Cybernetics. Conference (2013 : Manchester, England)Pagination
970 - 976Publisher
IEEELocation
Manchester, EnglandPlace of publication
Piscataway, N.J.Start date
2013-10-13End date
2013-10-16Language
engPublication classification
E1 Full written paper - refereedCopyright notice
2013, IEEETitle of proceedings
SMC 2013 : Proceedings of the 2013 IEEE International Conference on Systems, Man and CyberneticsUsage metrics
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