Maintenance Scheduling of a Manufacturing System Subject to Linear Deterioration Model  
Author Reza Ahmadi




Abstract This paper presents an integrated model for the joint determination of both optimal inspection strategy and optimal repair policy for a manufacturing system whose resulting output is subject to system state. The optimum policy balances the amount of maintenance required to increase availability against the loss of revenue arising from the system malfunction. The model is based on the assumption that the deterioration model is linear. This approach captures the behavior of manufacturing systems which due to damage process induced by operating environment factors deteriorate gradually. In this paper, using intensity control model adapted to partial information, an optimal solution to both inspection intensity and repair degree of the system as an optimal control process is obtained. The optimal control process which is a solution of deterministic Hamilton-Jacobi equation yields maximum revenue. The optimal control process determines a solution to optimal replacement policy resulting in an optimal production run length of the system. A numerical example is provided to illustrate the use of the model in practical application.


Keywords Maintenance Scheduling; Optimization; Control Process; Repair and Inspection Factor; Partial Information; Production Run Length
    Article #:  18172
Proceedings of the 18th ISSAT International Conference on Reliability and Quality in Design
July 26-28, 2012 - Boston, Massachusetts, U.S.A.