Two optimization models of the optimum inspection problem

• Published in: The Journal of the Operational Research Society Vol. 56; no. 10; pp. 1176 - 1183
• Main Authors: Jiang, R, Jardine, A K S
• Format: Journal Article
• Language: English
• Published: Basingstoke Taylor & Francis 01.10.2005; Palgrave Macmillan Press; Palgrave; Taylor & Francis Ltd
• Subjects: Accuracy; Algorithms; Applied sciences; Approximation; Boundary conditions; Conditional probabilities; Datasets; Exact sciences and technology; failure-finding; Flows in networks. Combinatorial problems; inspection; Inspections; maintenance; Mathematical models; Modeling; Musical intervals; Objective functions; Operational research and scientific management; Operational research. Management science; Operations research; Optimization; Optimization techniques; Parametric models; Propriety; Reliability theory. Replacement problems; Scheduling; scheduling/sequencing; Studies; Theoretical Papers; Total costs; Inspection; Scheduling; Maintenance; Optimal control (mathematics); Failures; Sequencing; scheduling/sequencing; Optimization; failure-finding
• ISSN: 0160-5682; 1476-9360
• DOI: 10.1057/palgrave.jors.2601885

This paper deals with establishing an optimum inspection schedule for systems that are subject to random failure and where the failure can be detected only through an inspection. The paper reviews 'classical' optimum checking policies. Two new optimization models are proposed to find the optimum sequence of inspection times. Theoretical analysis and numerical examples show that the optimum inspection time sequence derived from the proposed models is relatively accurate, robust, and computationally simple.