Minimal repair warranty cost model and optimal periodic replacement policy for repairable products based on generalized exponential distribution

2019 ◽  
Vol 14 (2) ◽  
pp. 53-68
Author(s):  
Iman S. Mabrouk ◽  
Belques A. Mahran
Keyword(s):  
Exponential Distribution ◽  
Cost Model ◽  
Replacement Policy ◽  
Generalized Exponential Distribution ◽  
Minimal Repair ◽  
Warranty Cost ◽  
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 design of sales and maintenance under the renewable warranty

2018 ◽  
Vol 52 (2) ◽  
pp. 529-542 ◽  
Author(s):  
Can Jiao ◽  
Xiaoyan Zhu
Keyword(s):  
New Product ◽  
Repair Time ◽  
Replacement Policy ◽  
Sales Growth ◽  
Minimal Repair ◽  
Profit Model ◽  
Sales Price ◽  
Warranty Period ◽  
Total Profit ◽  
Warranty Cost

This paper presents an integrated model to determine the optimal sales price, preventive maintenance (PM) interval and warranty period with the objective of maximizing the total profit. It is assumed that the sales growth can be featured by NHPP-Bass model over the time. Production cost, R&D cost and warranty cost involving product reliability are considered in this integrated profit model. Then, we consider a periodic PM policy, minimal repair and replacement policy in this paper and the product is deteriorated with the time goes. We also consider effects of the repair time of the repairable product. During the warranty period, manufacturer conducts the PM periodically, and if the repair time is beyond the limited repair time, the failure is replaced with a new product attached renewed warranty period. If not, the failed product is conducted with only minimal repair. Moreover, we give the numerical example and the sensitive analysis to provide insights into the influence of sales price, warranty period and PM interval.

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.

Burn-in procedures for a generalized model

2001 ◽  
Vol 38 (02) ◽  
pp. 542-553 ◽  
Author(s):  
Ji Hwan Cha
Keyword(s):  
The Other ◽  
Replacement Policy ◽  
Type I ◽  
Type Ii ◽  
Failure Model ◽  
Minimal Repair ◽  
Optimal Replacement ◽  
Complete Repair ◽  
Optimal Replacement Policy ◽  
Type Of Failure

In this paper two burn-in procedures for a general failure model are considered. There are two types of failure in the general failure model. One is Type I failure (minor failure) which can be removed by a minimal repair or a complete repair and the other is Type II failure (catastrophic failure) which can be removed only by a complete repair. During a burn-in process, with burn-in Procedure I, the failed component is repaired completely regardless of the type of failure, whereas, with burn-in Procedure II, only minimal repair is done for the Type I failure and a complete repair is performed for the Type II failure. In field use, the component is replaced by a new burned-in component at the ‘field use age’ T or at the time of the first Type II failure, whichever occurs first. Under the model, the problems of determining optimal burn-in time and optimal replacement policy are considered. The two burn-in procedures are compared in cases when both the procedures are applicable.

Sign in / Sign up

Export Citation Format

Share Document