A study on an optimal replacement policy for a degenerative system under partial product process

In this paper, we study a degenerative reparable system with two types of failure states.Any system after repair can not be as good as new. A general monotone process model for adegenerative system under partial product process is used. We use a replacement policy N based on the failure number of the system and to determine an optimal replacement policy N* such that the average cost rate is minimized.

A Monotone Process Maintenance Model for a Multistate System

In this paper, we study a monotone process maintenance model for a multistate system with k working states and ℓ failure states. By making different assumptions, we can apply the model to a multistate deteriorating system as well as to a multistate improving system. We show that the monotone process model for a multistate system is equivalent to a geometric process model for a two-state system. Then, for both the deteriorating and the improving system, we analytically determine an optimal replacement policy for minimizing the long-run average cost per unit time.

A Monotone Process Maintenance Model for a Multistate System

In this paper, we study a monotone process maintenance model for a multistate system with k working states and ℓ failure states. By making different assumptions, we can apply the model to a multistate deteriorating system as well as to a multistate improving system. We show that the monotone process model for a multistate system is equivalent to a geometric process model for a two-state system. Then, for both the deteriorating and the improving system, we analytically determine an optimal replacement policy for minimizing the long-run average cost per unit time.