A memory-type control chart utilizes previous information for chart construction. An example of a memory-type chart is an exponentially-weighted moving average (EWMA) control chart. The EWMA control chart is well-known and widely employed by practitioners for monitoring small and moderate process mean shifts. Meanwhile, the EWMA median chart is robust against outliers. In light of this, the economic model of the EWMA and EWMA median control charts are commonly considered. This study aims to investigate the effect of cost parameters on the out-of-control average run length ðARL 1 Þ in implementing EWMA and EWMA median control charts. The economic model was used to compute the ARL 1 parameter. The 14 input parameters were identified and the analysis was carried out based on the one-parameter-at-a-time basis. When the input parameters change based on a predetermined percentage, the ARL 1 is affected. According to the results of the EWMA chart, nine input parameters had an effect and five input parameters had no effect on the ARL 1 parameter. Further, only seven of the 14 input parameters had an effect on the ARL 1 of the EWMA median chart. However, the effect of each input parameter on the ARL 1 was different. Moreover, the ARL 1 for the EWMA median chart was smaller than the EWMA chart. This analysis is crucial to observe and determine the input parameters that have a significant impact on the ARL 1 of the EMWA and EWMA median control charts. Hence, practitioners can obtain an overview of the influence of the input parameters on the ARL 1 when implementing the EWMA and EWMA median control charts.