A DEA Approach for Solving Multi-Criteria Design of VSI X Control Charts
نویسندگان
چکیده
Control charts are widely applied in industrial practice to maintain manufacturing processes in desired operating conditions. Design of control charts aims at finding the best parameters for the operation of chart. In recent years, it has been revealed that the control charts operating with VSI (variable sampling interval) schemes give better performance than with FSI (fixed sampling interval) schemes in the sense of quick response to process shifts. In this paper, a possible combination of design parameters for VSI X is considered as a decision-making unit; it is characterized by three attributes: expected loss cost during a production cycle, average run length of process being controlled, and detection power of the control chart designed with the selected parameters. Accordingly, optimal design of control charts can be formulated as a multiple objective decision making (MODM) problem. To solve the MODM problem, a solution procedure on the basis of data envelopment analysis (DEA) is proposed. An industrial application is also presented to illustrate the solution procedure. Finally, comparisons with other models are made to show the effectiveness of the presented model.
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