Reliability Measures and Optimal Maintenance Policies for a Standby System with Repair Facilities Subject to Breakdown

✍ Scribed by S.G. Tzafestas; C.A. Botsaris

• Publisher: Elsevier Science
• Year: 1986
• Tongue: English
• Weight: 762 KB
• Volume: 321
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(86)90017-7

✦ Synopsis

The problem of determining optimal maintenance policiesfor a repairable standby system whose repair facilities are subject to random breakdowns is considered. The reliability measures of this system are derived by the discrete-state continuous-time Markov model, as well as by a more general probabilistic approach. The dynamic optimization problem is discussed and treated by a generalized version of Pontryagin's minimum principle based on an integral Hamiltonianfunctional. This is applied to the Markov model of the systemfor deriving both timevariable andjxed maintenance policies over the whole mission time. Then an appropriate cost

function, involving a maintenance cost term and a down-time cost term, is minimized with respect to the vector repair ratefunction u(t) subject to the practical constraint 0 < u(t) < U, where U is agiven upper repair rate limit. A particular nontrivial example isgiven.