Periodic replacement with minimal repair at failure and adjustment costs

1975 ◽  
Vol 22 (2) ◽  
pp. 243-254 ◽  
Author(s):  
C. Tilquin ◽  
R. Cléroux
Keyword(s):  
Adjustment Costs ◽  
Minimal Repair ◽  
Periodic Replacement

OPTIMAL PERIODIC REPLACEMENT POLICY WITH CHECKING TIME

2005 ◽  
Vol 12 (01) ◽  
pp. 19-29 ◽  
Author(s):  
SHEY-HUEI SHEU ◽  
YAN-CHUN CHEN ◽  
LI-HSIU TENG
Keyword(s):  
Optimal Number ◽  
Replacement Policy ◽  
Inspection Time ◽  
Programming Formulation ◽  
Minimal Repair ◽  
Repair Costs ◽  
Inspection Strategy ◽  
Inspection Policy ◽  
Periodic Replacement ◽  
Replacement Time

This investigation considers a generalized inspection policy for a deteriorating production system with general random minimal repair costs. The inspection times for the inspection strategy are assumed to be non-negligible. Additionally, uncertainty probabilities associated with inspections are introduced. Using a dynamic programming formulation, the optimal inspection time for maximizing profit per unit time for a given overhaul/replacement time is determined. Next, the procedure is extended to determine the optimal periodic overhaul/replacement time, as well as the optimal number of inspections and their schedule.

OPTIMAL DISCRETE-TIME PERIODIC REPLACEMENT POLICY FOR REPAIRABLE PRODUCTS UNDER FREE MINIMAL REPAIR WARRANTY

2012 ◽  
Vol 29 (03) ◽  
pp. 1240020
Author(s):  
FU-MIN CHANG ◽  
YU-HUNG CHIEN
Keyword(s):  
Failure Rate ◽  
Discrete Time ◽  
Replacement Policy ◽  
Cost Models ◽  
Minimal Repair ◽  
Warranty Period ◽  
Long Run ◽  
Periodic Replacement ◽  
The Cost ◽  
Time Periodic

This paper presents the effects of a free minimal repair warranty (FMRW) on the periodic replacement policy under discrete operating circumstance. For the discrete-time periodic replacement policy, a product is preventively replaced at pre-specified operation cycles N, 2N, 3N, … (N = 1, 2, …). When the product fails, a minimal repair is performed at the time of failure and the failure rate is not disturbed by each repair. From the customer's perspective, the cost models are developed for both a warranted and a nonwarranted product, and the corresponding optimal periodic replacement policies are derived such that the long-run expected cost rates are minimized. Under the assumption of the discrete time increasing failure rate (IFR), the existence and uniqueness of the optimal N* are shown, and the impacts of a FMRW on the optimal replacement policies are investigated analytically. We found that the optimal N* for a warranted product should be adjusted toward the end of the warranty period.

Sign in / Sign up

Export Citation Format

Share Document