2011
DOI: 10.1080/00207543.2010.528063
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Optimal integrated maintenance/production policy for randomly failing systems with variable failure rate

Abstract: International audienceThis article deals with the combined production and maintenance plans for a manufacturing system satisfying a random demand. We first establish an optimal production plan which minimises the average total inventory and production cost. Second, using this optimal production plan, and taking into account the deterioration of the machine according to its production rate, we derive an optimal maintenance schedule which minimises the maintenance cost. A numerical example illustrates the propos… Show more

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Cited by 83 publications
(21 citation statements)
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“…More then, in several studies the authors developed an analytical model representing an objective function related to economical or technical profit. The authors optimize analytically or by simulation methods theses developed functions in order to obtain an optimal variable decisions helpful for industrial (Schutz et al [16], Hajej et al [17]). …”
Section: Possible Extensionsmentioning
confidence: 99%
“…More then, in several studies the authors developed an analytical model representing an objective function related to economical or technical profit. The authors optimize analytically or by simulation methods theses developed functions in order to obtain an optimal variable decisions helpful for industrial (Schutz et al [16], Hajej et al [17]). …”
Section: Possible Extensionsmentioning
confidence: 99%
“…For example, Najid, Alaoui-Selsouli, and Mohafid (2011) use mixed-integer linear programming to find the optimal maintenance and production policies when demand shortages are costly. Zied, Sofiene, and Nidhal (2011) first find the optimal production policy taking into account manufacturing and inventory costs; then, they derive an optimal maintenance policy based on the initial optimal production policy. Xiang et al (2014) incorporate random yields into the production and maintenance decisions.…”
Section: Introductionmentioning
confidence: 99%
“…Gharbi et al (2009) presented an approach for simultaneously optimizing maintenance cost and availability of failure-prone manufacturing systems. Zied et al (2011) proposed a model to obtain combined maintenance and production policy for randomly failing production systems. A few researchers have evaluated optimal maintenance policies for manufacturing systems based on Markov and semi-Markov models.…”
Section: Introductionmentioning
confidence: 99%