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Optimal replacement and overhaul decisions with imperfect maintenance and warranty contracts http://www.cec.uchile.cl/~rpascual/mispapers/rpascual-ims04.pdf R. Pascual Departmento de Ingenieria Mecánica Universidad de Chile [email_address]
Outline ,[object Object],[object Object],[object Object],[object Object]
General framework ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Minas a rajo abierto ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
En plantas de proceso
Marco
Polos de investigación en I.O. mantenimiento(Scarf,1997)  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Maintenance decision-making situation ,[object Object],[object Object],[object Object],[object Object],[object Object]
The customer ,[object Object],[object Object],[object Object],[object Object],[object Object]
The equipment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Warranties and degradation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Vendors and warranties ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The owner ,[object Object],[object Object],[object Object],[object Object]
Model ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Tradeoff ,[object Object],[object Object],[object Object],time
Maintenance actions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
We will consider a single component analysis, static analysis ,[object Object],[object Object],[object Object],[object Object],[object Object]
(Zhang and Jardine, 1998)  ,[object Object],time imperfect perfect minimal
(Zhang and Jardine, 1998) ,[object Object],[object Object],[object Object]
(Djamaludin  et al. , 2001) ,[object Object],[object Object],[object Object],[object Object],[object Object]
Reviews on warranty analysis in maintenance ,[object Object],[object Object]
Improvements ,[object Object],time
Improvements ,[object Object],[object Object],[object Object],[object Object]
Aim ,[object Object],[object Object],[object Object],[object Object],[object Object]
Conditions ,[object Object]
Conditions ,[object Object],[object Object],T l =T s   n
Conditions ,[object Object],[object Object],time imperfect perfect minimal
Costs ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Costs ,[object Object],[object Object]
Failure rate ,[object Object],[object Object],[object Object],[object Object],[object Object]
Warranty ,[object Object],[object Object],[object Object],[object Object]
Baseline warranty ,[object Object]
Aim ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Cost model ,[object Object],time
expected number of failures after warranty time
life-cycle cost for the customer
life-cycle cost for the vendor
life-cycle cost per unit time for the customer
Constraints ,[object Object]
Extended warranty negotiation ,[object Object],[object Object],[object Object]
Observation ,[object Object],[object Object],[object Object]
Design space ,[object Object],[object Object],[object Object],[object Object],[object Object]
Condensation of T w ,[object Object],[object Object]
Discontinuous failure rate model
(Zhang and Jardine,1998)
Example:  Exponential growth model Initial failure rate:  α 0  Growth parameter:  α 1
Cost of an overhaul
Continuous failure rate model
We use For EGM: +
 inf +
Growth parameter estimation ,[object Object],+
Initial failure rate parameter   0   ,[object Object]
Extended warranty
Numerical example
 
Results ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Observation ,[object Object]
T l  vs T s
Sensitivity analysis
Comments and future research ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example T l T o =14 days T m =2  T r =90  p=0.7

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Dii Jul04