Cost-Benefit Optimization Including Maintenance for Structures by a Renewal Model

This chapter develops tools for optimizing design and maintenance strategies of aging structural components. It first reviews suitable formulations for failure models in structural engineering and the basics of renewal theory. It then introduces a repair model with or without preceding (imperfect) inspections. The inspection model introduces some increasing damage indicator function. Repairs are required if it exceeds some given threshold. Objective functions are derived for systematic reconstruction after failure or maintenance by periodic repairs alone, and by periodic inspections and possibly ensuing repairs (renewals). Finite repair times with given distribution function are considered. Initial formulations for independent repair and failure events are extended to dependent no-repair/repair and failure events.

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