In this research, the main parameters of the multivariate CUSUM control chart (the reference value k , the control limit H , the sample size n , and the sampling interval h ) are determined by minimizing the Lorenzen-Vance cost function (Lorenzen TJ, Vance LC. The economic design of control charts: A unified approach. Technometrics 28: 3-10, 1986 [1],) in which the external costs of employing t...