The paper 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.

Dellino, G., Meloni, C., Pranzo, M., Sama, M. (2021). Expected Shortfall for the Makespan in Activity Networks with Fuzzy Durations. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1-1 [10.1109/TFUZZ.2021.3069340].

Expected Shortfall for the Makespan in Activity Networks with Fuzzy Durations

Meloni C.;Pranzo M.;Sama M.
2021

Abstract

The paper 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.
Dellino, G., Meloni, C., Pranzo, M., Sama, M. (2021). Expected Shortfall for the Makespan in Activity Networks with Fuzzy Durations. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1-1 [10.1109/TFUZZ.2021.3069340].
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11590/398080
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