2007
DOI: 10.1002/nav.20248
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Machine maintenance with workload considerations

Abstract: Abstract:Machine maintenance is modeled in the setting of a single-server queue. Machine deterioration corresponds to slower service rates and failure. This leads to higher congestion and an increase in customer holding costs. The decision-maker decides when to perform maintenance, which may be done pre-emptively; before catastrophic failures. Similar to classic maintenance control models, the information available to the decision-maker includes the state of the server. Unlike classic models, the information a… Show more

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Cited by 21 publications
(30 citation statements)
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References 37 publications
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“…Their work investigated the suitability of genetic algorithm as a solution method for technicians' parametric optimisation. Kaufman and Lewis (2007) considered the application of repair and replacement models for maintenance workload management. In their study, information on service rates and failures, fixed maintenance times and random replacement times was generated.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Their work investigated the suitability of genetic algorithm as a solution method for technicians' parametric optimisation. Kaufman and Lewis (2007) considered the application of repair and replacement models for maintenance workload management. In their study, information on service rates and failures, fixed maintenance times and random replacement times was generated.…”
Section: Literature Reviewmentioning
confidence: 99%
“…The proof approach for Proposition 2.1 follows closely that of Kaufman and Lewis [15] (Proposition 3.1) and is done in several steps. Letπ be a policy that selects a constant rateμ ∈ ( L s=1 p s λ s ,ū] whenever the queue is nonempty.…”
Section: Appendixmentioning
confidence: 99%
“…Kaufman and Lewis [8]. Figure 2 shows the eect of dierent degradation structures, i.e., p deg is varied from 0.3 to 0.9 with an increment of 0.2.…”
Section: Optimal Policy Examples -Discounted Costsmentioning
confidence: 99%
“…The expressions for these costs-to-go are slight modications of the discounted cost expressions and are not detailed here. We follow closely the arguments used in [8] to move from the discounted cost case to the average cost case. In particular, we need to verify the so-called SENSM [13] conditions for SMDP's, as given below:…”
mentioning
confidence: 99%