An optimal repeat inspection plan with several classifications
- PDF / 175,246 Bytes
- 11 Pages / 595 x 794 pts Page_size
- 4 Downloads / 196 Views
#2002 Operational Research Society Ltd. All rights reserved. 0160-5682/02 $15.00 www.palgrave-journals.com/jors
An optimal repeat inspection plan with several classifications SO Duffuaa* and M Khan King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia 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. Journal of the Operational Research Society (2002) 53, 1016–1026. doi:10.1057/palgrave.jors.2601392 Keywords: quality control; inspection error; repeat inspection plan; several classification
Introduction Quality control can be accomplished through process control or product control. Product control is carried out through inspection plans. The use of inspection plan becomes more applicable in industry due to the availability of highly automated inspection systems. Also in some cases, inspection is the only alternative, eg the case of receiving inspections. The focus of this paper is on modelling and determining optimal inspection plan for critical components. A component is critical if it causes disaster or a very high cost upon failure. Such components can be a part of an aircraft, a space shuttle or a complex gas ignition system. For critical components, a common practice in industry is to institute multiple inspections.1 The reason for multiple inspections is that inspections are never perfect. There is always the possibility of misclassifications. All misclassifications have costs such as the cost of misclassifying a good component as rework. In the case of critical components the cost of false acceptance is much higher than the cost of false rejection, because falsely accepted components may result in system failure, which may involve human losses. Therefore, it is perceived and shown that repeat inspections are likely to reduce the costs of the errors and increase the cost of inspection. However, the expected total cost is likely to reduce. Hence, a need exists to determine the optimal inspection plan and the optimal number of repeat inspections that minimizes the expected total cost. *Correspondence: SO Duffuaa, Department of Systems Engineering, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. E-mail: [email protected]
Ayoub et al2 defined mean inspection error to be the aver
Data Loading...
