2014
DOI: 10.1080/00207721.2014.900137
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Two-machine flow shop scheduling integrated with preventive maintenance planning

Abstract: This paper investigates an integrated optimisation problem of production scheduling and preventive maintenance (PM) in a two-machine flow shop with time to failure of each machine subject to a Weibull probability distribution. The objective is to find the optimal job sequence and the optimal PM decisions before each job such that the expected makespan is minimised. To investigate the value of integrated scheduling solution, computational experiments on small-scale problems with different configurations are con… Show more

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Cited by 23 publications
(8 citation statements)
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“…For machine fault, the Weibull distribution is adopted here according to the work of Wang et al [26]. The expected number of failures when machine j processes the i-th job i can be calculated as…”
Section: Problem Descriptionmentioning
confidence: 99%
“…For machine fault, the Weibull distribution is adopted here according to the work of Wang et al [26]. The expected number of failures when machine j processes the i-th job i can be calculated as…”
Section: Problem Descriptionmentioning
confidence: 99%
“…For instance, the machine availability constraints must be set ahead, which is challenging to know in practice and may affect the search space where optimal solutions exist. Hence, it is more advantageous to adopt the integrated model, which considers maintenance and production scheduling simultaneously [7][8][9][10][11]. All these studies assume that the optimal PM intervals are regular, which means that after a constant period, the PM actions must take place to renew the machine.…”
Section: Introductionmentioning
confidence: 99%
“…Multi-machines studies consider more complex systems, mainly parallel systems, and aim to perform collective preventive maintenance on machines instead of individual ones to minimize the total uncertainty and unavailability of production lines (Fitouhi and Nourelfath, 2014;Xiao et al, 2016). Generally, a breakdown within a makespan is a stochastic event and therefore, the consequential corrective maintenance is also random which increases the uncertainty level of a production line Bjarnason and Taghipour, 2016;Wang and Liu, 2016). Moreover, downtime due to corrective maintenance, followed by a breakdown, is commonly lengthier than downtime due to preventive maintenance and thus, optimization of preventive maintenance within makespan reduces idle time of the system and mitigates the unavailability level of a production line (von Hoyningen-Huene and Kiesmüller, 2015).…”
Section: Introductionmentioning
confidence: 99%