In this paper, we treat an optimal control problem of a stochastic two-machine owshop with machines subject to random breakdown and repair. While the problem is diicult to solve, it can be approximated by a deterministic problem when the rates of machine failure and repair become large. Furthermore, beginning with the solution of the deterministic problem, we can construct a feedback control fo...

farm machinery managers often need to make complex economic decisions on machinery replacement. repair and maintenance costs can have significant impacts on this economic decision. the farm manager must be able to predict farm machinery repair and maintenance costs. this study aimed to identify a regression model that can adequately represent the repair and maintenance costs in terms of machine...

This paper studies a maintenance policy for a system composed of two components, which are subject to continuous deterioration and consequently stochastic failure. The failure of each component results in the failure of the system. The components are inspected periodically and their deterioration degrees are monitored. The components can be maintained using different maintenance actions (repair...

In this paper, we derive a parabolic partial differential equation for the expected exit time of non-autonomous time-periodic non-degenerate stochastic equations. This establishes Feynman–Kac duality between equations and solutions Casting solution as fixed point problem convex optimisation problem, give sufficient conditions in which is well-posed weak classical sense. With no known closed for...

Abstract. We present a simple dynamical model to address the question of introducing a stochastic nature in a time variable. This model includes noise in the time variable but not in the “space" variable, which is opposite to the normal description of stochastic dynamics. The notable feature is that these models can induce a “resonance" with varying noise strength in the time variable. Thus, th...

This paper focuses on the stochastic modeling of a computer system of two identical unitsone is initially operative and other is kept as spare in cold standby. In each unit h/w and s/w components work together and fail independently. There is a single server who visits the system immediately as and when required. The server takes the unit under preventive maintenance after a maximum operation t...

It is known that a stochastic differential equation (SDE) induces two probabilistic objects, namely a difusion process and a stochastic flow. While the diffusion process is determined by the innitesimal mean and variance given by the coefficients of the SDE, this is not the case for the stochastic flow induced by the SDE. In order to characterize the stochastic flow uniquely the innitesimal cov...

Generally, the failure rate and the repair time of system components are constant parameters in reliability assessment of electric distribution systems. A failure of component is resulted from failing in the operation or overloading. In addition, there exist cases where, the repair times of components are small and tolerable from customer point of view. Thus, tolerable repair times may be overl...