The Lorenz Transform approach to the Optimal Repair-Cost limit remplacement Policy with Imperfect Repair

2001 ◽  
Vol 35 (1) ◽  
pp. 21-36 ◽  
Author(s):  
T. Dohi ◽  
F. S. Othman ◽  
N. Kaio ◽  
Sunji Osaki
Keyword(s):  
Repair Cost ◽  
Imperfect Repair ◽  
Cost Limit

DISCRETE REPAIR-COST LIMIT REPLACEMENT POLICIES WITH/WITHOUT IMPERFECT REPAIR

2008 ◽  
Vol 25 (06) ◽  
pp. 735-751
Author(s):  
KAZUKI IWAMOTO ◽  
TADASHI DOHI ◽  
NAOTO KAIO
Keyword(s):  
Statistical Estimation ◽  
Research Topic ◽  
Asymptotic Convergence ◽  
Repair Cost ◽  
Convergence Properties ◽  
Complete Sample ◽  
Imperfect Repair ◽  
Long Run ◽  
Estimation Problems ◽  
Cost Limit

This paper addresses statistical estimation problems of the optimal repair-cost limits minimizing the long-run average costs per unit time in discrete seting. Two discrete repair-cost limit replacement models with/without imperfect repair are considered. We derive the optimal repair-cost limits analytically and develop the statistical non-parametric procedures to estimate them from the complete sample of repair cost. Then the discrete total time on test (DTTT) concept is introduced and applied to propose the resulting estimators. Numerical experiments through Monte Carlo simulation are provided to show their asymptotic convergence properties as the number of repair-cost data increases. A comprehensive bibliography in this research topic is also provided.

Optimal repair/replacement policy for a general repair model

2001 ◽  
Vol 33 (1) ◽  
pp. 206-222 ◽  
Author(s):  
Xiaoyue Jiang ◽  
Viliam Makis ◽  
Andrew K. S. Jardine
Keyword(s):  
Average Cost ◽  
Failure Time ◽  
Operating Time ◽  
Replacement Policy ◽  
Repair Cost ◽  
Virtual Age ◽  
Preventive Replacement ◽  
Long Run ◽  
Special Cases ◽  
Cost Limit

In this paper, we study a maintenance model with general repair and two types of replacement: failure and preventive replacement. When the system fails a decision is made whether to replace or repair it. The repair degree that affects the virtual age of the system is assumed to be a random function of the repair-cost and the virtual age at failure time. The system can be preventively replaced at any time before failure. The objective is to find the repair/replacement policy minimizing the long-run expected average cost per unit time. It is shown that a generalized repair-cost-limit policy is optimal and the preventive replacement time depends on the virtual age of the system and on the length of the operating time since the last repair. Computational procedures for finding the optimal repair-cost limit and the optimal average cost are developed. This model includes many well-known models as special cases and the approach provides a unified treatment of a wide class of maintenance models.

Optimal number of minimal repairs before replacement based on a cumulative repair-cost limit policy

2010 ◽  
Vol 59 (4) ◽  
pp. 603-610 ◽  
Author(s):  
Chin-Chih Chang ◽  
Shey-Huei Sheu ◽  
Yen-Luan Chen
Keyword(s):  
Optimal Number ◽  
Repair Cost ◽  
Cost Limit

Some replacement policies with minimal repairs and repair cost limit

1989 ◽  
Vol 20 (2) ◽  
pp. 267-279 ◽  
Author(s):  
P. K. KAPUR ◽  
R. B. GARG ◽  
N. L. BUTANI
Keyword(s):  
Repair Cost ◽  
Cost Limit
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