Maximizing the expected remaining useful lifetime of a weakly controlled device. Issue 9 (1st September 2020)

• Record Type: Journal Article
• Authors: Lefebvre, Mario
• Is Part Of: Engineering optimization. Volume 52:Issue 9(2020)
• Page Start: 1588
• Page End: 1597
• Publication Date: 2020-09-01
• Subjects: Brownian motion -- first-passage time -- optimal stochastic control -- random parameters; Engineering design -- Periodicals; Mathematical optimization -- Periodicals; 620.0042
• DOI: 10.1080/0305215X.2019.1660775
• Languages: English
• ISSNs: 0305-215X

Abstract

Abstract : A degenerate two-dimensional diffusion process is considered as a model for the amount X ( t ) of deterioration at time t that a device can suffer before having to be repaired or replaced. The model is such that X ( t ) is strictly decreasing with time. Moreover, the deterioration rate is assumed to increase after a random amount of time. An approximate solution is sought to the problem of maximizing the expected remaining useful lifetime of the device when it is weakly controlled.