Duncan's model for X-control charts: sensitivity analysis to input parameters

In this paper a sensitivity analysis for optimal solutions of the wellknown Duncan’s model is proposed to misspecification in the cost parameters. The analysis is performed both in the continuous case, i.e. when the production process continues in operation while searches for the assignable cause after a signal are made, and in the more realistic discontinuous case, i.e. when a signal causes a production stop. While similar contributions published in literature perform the sensitivity analysis with a one-factor-at-time scheme, the original contribution of this paper is represented by the focus here given on interactions among changes in values of different cost parameters.