Shongwe, Sandile CharlesGraham, Marien Alet2020-08-312020-08-312019Shongwe, S.C. & Graham, M.A. 2019, 'Some theoretical comments regarding the run-length properties of the synthetic and runs-rules monitoring schemes – Part 1: zero-state', Quality Technology and Quantitative Management, vol. 16, no. 2, pp. 170-189.1684-370310.1080/16843703.2017.1389141http://hdl.handle.net/2263/75978Please read abstract in the article.en© 2019 International Chinese Association of Quantitative Management. This is an electronic version of an article published in Quality Technology and Quantitative Management, vol. 16, no. 2, pp. 170-189, 2019. doi : 10.1080/16843703.2017.1389141. Quality Technology and Quantitative Management is available online at: http://www.tandfonline.com/loi/ttqm20.Average run-length (ARL)Overall performanceRuns-rules chartsSynthetic chartsTransition probability matrix (TPM)Zero-stateSome theoretical comments regarding the run-length properties of the synthetic and runs-rules monitoring schemes – Part 1: zero-statePostprint Article