Journal
IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 30, Issue 6, Pages 2124-2128Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2021.3069340
Keywords
Processor scheduling; Reactive power; Uncertainty; Schedules; Data models; Computational modeling; Stochastic processes; Activity networks; Conditional Value-at-Risk (CVaR); expected shortfall (ES); fuzzy intervals; makespan; project scheduling
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This article discusses the evaluation of expected shortfall or conditional value-at-risk for makespan in scheduling problems using temporal activity networks with type-1 fuzzy representation of integer-valued durations known to the scheduler. They propose and analyze a computational method to obtain fuzzy evaluation of the expected shortfall of makespan in a given schedule.
This article deals with the evaluation of the expected shortfall or the conditional value-at-risk for the makespan in scheduling problems represented as temporal activity networks where we assume that only a type-1 fuzzy representation for the activity-integer-valued durations is known to the scheduler. More precisely, we address the evaluation of the expected shortfall associated to a feasible schedule, and we extend the approach recently proposed for the case of interval-valued durations. We develop and analyze a suitable computational method to obtain the fuzzy evaluation of the expected shortfall of the makespan of a given schedule. The proposed method enables to use the expected shortfall as quality criterion for wide classes of scheduling approaches considering risk aversion in different practical contexts when only a fuzzy representation of activity durations is known.
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