2015
DOI: 10.1016/j.fss.2014.12.003
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Coevolutionary makespan optimisation through different ranking methods for the fuzzy flexible job shop

Abstract: In this paper we tackle a variant of the flexible job shop scheduling problem with uncertain task durations modelled as fuzzy numbers. To minimise the schedule's makespan, we consider different ranking methods for fuzzy numbers. We then propose a cooperative co-evolutionary algorithm with two different populations evolving the two components of a solution: machine assignment and task relative order. Additionally, we incorporate a specific local search method for each population. The resulting hybrid algorithm … Show more

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Cited by 37 publications
(20 citation statements)
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“…Additionally, ≤ E coincides with several other ranking methods from the literature as highlighted in [47]. It is also possible to establish a relation with classical interval comparison in the light of imprecise probabilities, with ≤ E coming down to using Hurwicz criterion on upper and lower expectations derived from the fuzzy number [12].…”
Section: Ordering Of Tfnssupporting
confidence: 55%
“…Additionally, ≤ E coincides with several other ranking methods from the literature as highlighted in [47]. It is also possible to establish a relation with classical interval comparison in the light of imprecise probabilities, with ≤ E coming down to using Hurwicz criterion on upper and lower expectations derived from the fuzzy number [12].…”
Section: Ordering Of Tfnssupporting
confidence: 55%
“…Palacois et. al [50] suggested a random initialisation method based on the G&T algorithm. The following steps or phases generated initial solutions; operations were scheduled in an insertion mode by manipulating the flexibility, a reasonable insertion interval for an operation expressed by in a machine to be a dedicated time interval , where machine is in idle status and for that can be processed within that particular time interval without violating the preference constraints.…”
Section: Methodsmentioning
confidence: 99%
“…Furthermore, the centre of gravity of its mean value can be attained. As a series of researchers ( [33], [50], [56]- [57]) considered this criterion's detraction of fuzzy makespan ( ). Current study acknowledges this objective function as a crucial decision, which needs to be reached.…”
mentioning
confidence: 99%
“…They highlight that the use of the fuzzy modeling provides more flexibility and speed in computations. Palacios et al [33] also tackle a variant of the flexible job shop scheduling problem with uncertain task durations modeled as fuzzy numbers with different ranking methods for them. Wu et al [34] propose a fuzzy multi-objective programming model for the evaluation and selection of suppliers which provides alternative tools to improve supplier selection decisions in an uncertain global market.…”
Section: Background Literaturementioning
confidence: 99%
“…Palacios et al [33] also tackle a variant of the flexible job shop scheduling problem with uncertain task durations modeled as fuzzy numbers with different ranking methods for them. Wu et al [34] propose a fuzzy multi-objective programming model for the evaluation and selection of suppliers which provides alternative tools to improve supplier selection decisions in an uncertain global market. Liang [35] applies fuzzy goal programming to project management decisions with multiple goals in uncertain environments.…”
Section: Background Literaturementioning
confidence: 99%