Abstract
This chapter looks at the issues in modeling the effect of quality variations in manufacturing. It models the effects of assembly errors and component nonconformance. This chapter constructs the month of production—month in service (MOP-MIS) diagram to characterize the claims rate as a function of MOP and MIS. It also discusses on the determination of optimum maintenance interval of an object.
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Notes
- 1.
Sections of the chapter draw from the co-author’s (Md. Rezaul Karim) previous published work, reused here with permissions (Blischke et al. 2011).
- 2.
For certain products (e.g., automobiles, personal computers), each unit at the product level has a unique identification number. For example, in the case of automobiles, each vehicle has a unique identification number, referred to as Vehicle Identification Number (VIN).
- 3.
- 4.
A general k-fold competing risk model means the competing risk model derived based on k failure modes of the product.
- 5.
A general k-fold finite mixture distribution is a weighted average of distribution functions given by \(F(x) = \sum\nolimits_{i = 1}^{k} {p_{i} F_{i} (x)}\), with \(p_{i} \ge 0\), \(\sum\nolimits_{i = 1}^{k} {p_{i} } = 1\) and \(F_{i} (x) \ge 0\), \(i = 1,2, \ldots ,k\) distribution functions associated with the k subpopulation are called the components of the mixture.
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- 7.
In some cases, it can be a shift, if a company operates more than one shift per day.
- 8.
- 9.
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Karim, M.R., Islam, M.A. (2019). Quality Variation in Manufacturing and Maintenance Decision. In: Reliability and Survival Analysis. Springer, Singapore. https://doi.org/10.1007/978-981-13-9776-9_10
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DOI: https://doi.org/10.1007/978-981-13-9776-9_10
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