Inspection and Repair Decisions for Hydraulic Structures Under Symmetric Deterioration
Abstract
In this report, we will focus on minimizing the cost due to inspection and repair of hydraulic structures. The optimization is based on symmetric properties of the underlying physical deterioration process: i.e. the damages per time-unit are exchangeable and the probabilities of preventive repair and failure are obtained by conditioning on the average amount of deterioration with regard to a finite or an infinite time-horizon. By introducing a prior for the average deterioration per time-unit we can account for uncertainty in the decision problems. Advantages of our Bayesian approach are that we base our mathematical models on an observable quantity, namely the damage, and, surprisingly, that our results are just sums of products which can be easily evaluated. Two examples from the field of hydraulic engineering are studied: determining a preventive repair interval when a safety norm is given and a cost-optimal periodic inspection rate if there is a possibility for a preventive repair during each inspection. Optimization; Symmetric deterioration; Bayesian approach; Hydraulic structures; Exchangeability.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1992
- Accession Number
- ADA253621
Entities
People
- Jan M. Van Noortwijk
Organizations
- University of California, Berkeley