Modeling for maintenance of systems

This dissertation presents some deterministic mathematical models for determining the optimum time interval for subsequent inspections of a deteriorating piece of equipment. The maintenance situation modeled here requires expressing the deterioration phenomenon in the form of an analytical function called a status index. Examples are used to illustrate the approach for developing a status index and to clarify the general methodology. A dynamic programming model is also presented for determining optimal maintenance strategies to achieve a predefined level of system performance. The importance of maintenance costs is emphasized.