# Markov chain

• Apr 28th 2013, 05:26 PM
Trish
Markov chain
Hi,
Can anyone help me to begin solving this one?

Ball bearings in a machine have an increased probability of failure with increased service life. this machine has 2 bearings. bearings costs \$30 each plus \$50 per unit installation cost. a bearing failure results in an additional cost of \$500. (when a bearing is replaced both bearings are replaced at the same time, and no bearing has ever run more than 5000 hours.)

Service life (1000 hours) No. of times failure occured
1 10
2 15
3 15
4 30
5 30

Management wished to examine 2 maintenance procedures:
1. replace as failures occur
2. replace individual bearings on an optimum replacement life basis

Which policy results in minimum cost? Hint: you will need to include one or more absorbing states
• Apr 28th 2013, 10:48 PM
chiro
Re: Markov chain
Hey Trish.

Have you figured out a transition matrix for both procedures?
• Apr 29th 2013, 02:06 AM
Trish
Re: Markov chain
Hi Chiro,

I'm not quite sure how to begin. Will the states be the service lives with an absorbing one at the end and the probability percentages the number of times failure occured?