An optimal repeat inspection plan with several classifications

• Published in: The Journal of the Operational Research Society Vol. 53; no. 9; pp. 1016 - 1026
• Main Authors: Duffuaa, S O, Khan, M
• Format: Journal Article
• Language: English
• Published: Basingstoke Taylor & Francis 01.09.2002; Palgrave Macmillan Press; Palgrave; Taylor & Francis Ltd
• Subjects: Algorithms; Applied sciences; Components; Cost efficiency; Economic costs; Errors; Exact sciences and technology; Ignition systems; inspection error; Inspection stations; Inspections; Maintenance management; Mathematical models; Mathematical sequences; Minimization of cost; Operational research and scientific management; Operational research. Management science; Operations research; Quality assurance; Quality control; Reliability theory. Replacement problems; repeat inspection plan; several classification; Studies; Theoretical Papers; Total costs; Mathematical model; Space shuttle; Aircraft; Failures; Classification; Quality control
• ISSN: 0160-5682; 1476-9360
• DOI: 10.1057/palgrave.jors.2601392

Multicharacteristic critical components exist in many systems. Such components could be a part of an aircraft, space shuttle or a gas ignition system. A component is critical if it causes disaster or a very high cost upon failure. In this paper, a new inspection plan for critical multicharacteristic components is presented. A mathematical model that depicts the plan is developed. An algorithm is proposed for finding the optimal number of repeat inspections and the sequence of characteristics for inspection that minimizes expected total cost per accepted component. The expected cost consists of the cost of inspection and the cost of misclassifications. The inspection plan and the model developed generalize existing models in the literature and provide a more realistic formulation. An example is given to demonstrate the plan and the model.