International Journal of Difference Equations (IJDE). ISSN 0973-6069 Volume 15, Number 2 (2020), pp. 259-274 © Research India Publications https://dx.doi.org/10.37622/IJDE/15.2.2020.259-274 *Author for correspondence The Economic Design of the Double Sampling X Chart with Measurement Errors K. S. Khee Yong Si 1* , Ming Ha Lee 2 , XinYing Chew 3 , Man F. Lau 4 , Kong Melinda 5 and H. H. Then Patrick 6 , S. Rashid 7 1, 2, 6 Faculty of Engineering, Computing and Sciences, Swinburne University of Technology Sarawak Campus, Kuching, Sarawak, Malaysia. 3 School of Computer Sciences, Universiti Sains Malaysia, Pulau Pinang, Malaysia. 4 School of Software and Electrical Engineering, Swinburne University of Technology, Melbourne, Australia. 5 Faculty of Business, Design and Arts, Swinburne University of Technology Sarawak Campus, Kuching, Sarawak, Malaysia. 7 Department of Mathematics, College of Basic Science, Yadegar-e-Imam Khomeini (RAH) Branch, Islamic Azad University, Tehran, Iran. ABSTRACT Objective: The purpose of this study is to investigate the effect of measurement errors on the economic design of the double sampling (DS) X chart. Methods/Statistical analysis: The economic design of the DS X chart with measurement errors is investigated by using the linear covariate error model. The optimal design parameters of the DS X chart are determined through the minimization of the cost function. The effect of the measurement errors is evaluated based on the numerical example over a wide range of the parameters of the measurement errors, where the parameters of the measurement errors are the coefficient B and the measurement error ratio. Findings: The numerical results show that an increase in the value of the coefficient B or a decrease in the value of the measurement error ratio in the linear covariate error model leads to the lower false alarm rate and cost with more frequent sampling interval and