Hybrid minimal repair and age replacement policy for two-dimensional warranted products

2011 ◽  
Vol 2 (4) ◽  
pp. 284 ◽  
Author(s):  
H. Husniah ◽  
U.S. Pasaribu ◽  
A.H. Halim ◽  
B.P. Iskandar
Keyword(s):  
Replacement Policy ◽  
Two Dimensional ◽  
Minimal Repair ◽  
Age Replacement

AN OPPORTUNITY-BASED AGE REPLACEMENT POLICY CONSIDERING WARRANTY

1999 ◽  
Vol 06 (03) ◽  
pp. 229-236 ◽  
Author(s):  
BERMAWI P. ISKANDAR ◽  
HIROAKI SANDOH
Keyword(s):  
Time Distribution ◽  
Failure Time ◽  
Sufficient Conditions ◽  
Replacement Policy ◽  
Minimal Repair ◽  
Failure Time Distribution ◽  
Warranty Period ◽  
Preventive Replacement ◽  
Long Run ◽  
Age Replacement

This study discusses an opportunity-based age replacement policy for a system which has a warranty period (0, S]. When the system fails at its age x≤S, a minimal repair is performed. If an opportunity occurs to the system at its age x for S<x<T, we take the opportunity with probability p to preventively replace the system, while we conduct a corrective replacement when it fails on (S, T). Finally if its age reaches T, we execute a preventive replacement. Under this replacement policy, the design variable is T. For the case where opportunities occur according to a Poisson process, a long-run average cost of this policy is formulated under a general failure time distribution. It is, then, shown that one of the sufficient conditions where a unique finite optimal T* exists is that the failure time distribution is IFR (Increasing Failure Rate). Numerical examples are also presented for the Weibull failure time distribution.

A note on the upper bound for the optimal work size

2004 ◽  
Vol 41 (01) ◽  
pp. 277-280
Author(s):  
Ji Hwan Cha
Keyword(s):  
Upper Bound ◽  
Optimization Problem ◽  
Replacement Policy ◽  
Two Dimensional ◽  
Age Replacement ◽  
Work Size ◽  
Dimensional Optimization

Mi (2002) recently considered a two-dimensional optimization problem for the optimal age-replacement policy and the optimal work size. In order to find (y ∗,T ∗), Mi (2002) found the optimal age-replacement policy T ∗(y) for each fixed work size y, and then searched for the optimal work size y ∗. When applying this approach, for each fixed work size y, Mi (2002) obtained the bounds for T ∗(y). However, no bound for the optimal work size y ∗ was derived. In this note, the results on the upper bound for the optimal work size y ∗ are given.

A note on the upper bound for the optimal work size

2004 ◽  
Vol 41 (1) ◽  
pp. 277-280 ◽  
Author(s):  
Ji Hwan Cha
Keyword(s):  
Upper Bound ◽  
Optimization Problem ◽  
Replacement Policy ◽  
Two Dimensional ◽  
Age Replacement ◽  
Work Size ◽  
Dimensional Optimization

Mi (2002) recently considered a two-dimensional optimization problem for the optimal age-replacement policy and the optimal work size. In order to find (y∗,T∗), Mi (2002) found the optimal age-replacement policy T∗(y) for each fixed work size y, and then searched for the optimal work size y∗. When applying this approach, for each fixed work size y, Mi (2002) obtained the bounds for T∗(y). However, no bound for the optimal work size y∗ was derived. In this note, the results on the upper bound for the optimal work size y∗ are given.

Sign in / Sign up

Export Citation Format

Share Document