Optimization of Age Replacement Policy for Aging Multi-state System with Imperfect Maintenance

Abstract

Abstract-This article proposes the modified age replacement policy for a multi-state system composed of multi-state elements. The degradation of the multi-state element is assumed to follow the non-homogeneous continuous time Markov process which is a continuous time and discrete state process. A recursive approach is presented to efficiently compute the time-dependent state probability distribution of the multi-state element. The state and performance distribution of the entire multi-state system are evaluated via the combination of the stochastic process and the Lz-transform method. The concept of user-centered reliability measure is developed based on the system performance and the user demand. We develop the age replacement policy for an aging multi-state system subject to imperfect maintenance in a failure state. The optimum replacement schedule which minimizes the mean cost rate is derived analytically and discussed numerically.

Penentuan Interval Waktu Penggantian Komponen Kritis Pada Mesin Volpack Menggunakan Metode Age Replacement

“…Menurut Andrew Jardine (2013) [2], perhitungan nilai MTTF dilakukan dengan bantuan software mathcad. Setelah itu menghitung cost of preventive (Cp) dan cost of failure (Cf) sehingga dapat menghitung perhitungan interval waktu penggantian dengan metode age replacement [4]:…”