Title
Optimal replacement policy for a repairable system with deterioration based on a renewal-geometric process.
Abstract
The optimal replacement policy is proposed for a new maintenance model of a repairable deteriorating system to minimize the average cost rate throughout the system life cycle. It is assumed that the system undergoes deterioration with an increasing trend of deterioration probability after each repair. More specifically, a novel maintenance model is first presented based on a new defined renewal-geometric process, which splits the operation process into an early renewal process and a late geometric process to characterize such a special deterioration delay. Then, the average cost rate for the new model is formulated according to the renewal-reward theorem. Next, a theorem is presented to derive the theoretical relationships of optimal replacement policies for the geometric-process maintenance model and the new proposed model, respectively. Finally, numerical examples suggest that the optimum values can be determined to minimize the average cost rates.
Year
DOI
Venue
2016
10.1007/s10479-016-2133-4
Annals OR
Keywords
Field
DocType
Renewal-geometric process, Delay circuit, Replacement policy, Cost rate
Mathematical optimization,Renewal theory,Geometric process,Average cost,System lifecycle,Mathematics
Journal
Volume
Issue
ISSN
244
1
1572-9338
Citations 
PageRank 
References 
1
0.35
5
Authors
5
Name
Order
Citations
PageRank
Caiyun Niu110.35
Xiaolin Liang210.35
Bingfeng Ge34611.25
Xue Tian410.35
Ying-Wu Chen520519.89