A new set of high-performing heuristics to minimize flowtime in permutation flowshops

This paper addresses the problem of scheduling jobs in a permutation flowshop with the objective of total completion time minimisation. Since this problem is known to be NP-hard, most research has focussed on obtaining procedures – heuristics – able to provide good, but not necessarily optimal, solu...

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Detalles Bibliográficos
Autores: Fernández-Viagas Escudero, Víctor, Framiñán Torres, José Manuel
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2015
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/95264
Acceso en línea:https://hdl.handle.net/11441/95264
https://doi.org/10.1016/j.cor.2014.08.004
Access Level:acceso abierto
Palabra clave:Scheduling
Flowshop
Heuristics
Descripción
Sumario:This paper addresses the problem of scheduling jobs in a permutation flowshop with the objective of total completion time minimisation. Since this problem is known to be NP-hard, most research has focussed on obtaining procedures – heuristics – able to provide good, but not necessarily optimal, solutions with a reasonable computational effort. Therefore, a full set of heuristics efficiently balancing both aspects (quality of solutions and computational effort) has been developed. 12 out of these 14 efficient procedures are composite heuristics based on the LR heuristic by Liu and Reeves (2001), which is of complexity . In our paper, we propose a new heuristic of complexity for the problem, which turns out to produce better results than LR. Furthermore, by replacing the heuristic LR by our proposal in the aforementioned composite heuristics, we obtain a new set of 17 efficient heuristics for the problem, with 15 of them incorporating our proposal. Additionally, we also discuss some issues related to the evaluation of efficient heuristics for the problem and propose an alternative indicator.