Title: One-sided run rules control charts for monitoring the coefficient of variation in short production runs

Authors: Asma Amdouni; Philippe Castagliola; Hassen Taleb; Giovanni Celano

Addresses: Département Génie Informatique et Télécommunications, Université Libre de Tunis, 32 Avenue Kheireddine Pacha, 1002 Tunis, Tunisia ' Université de Nantes and IRCCyN UMR CNRS 6597, LUNAM Université, Nantes, France ' Higher Institute of Business and Accounting, ARBRE Laboratory, University of Carthage, Tunis, Tunisia ' Department of Civil Engineering and Architecture, University of Catania, Viale Andrea Doria 6, 95125 Catania, Italy

Abstract: This paper proposes a new efficient method to monitor the coefficient of variation (CV) in a short production run context by means of one-sided run rules type charts. Plotting points on run rules control charts is a stochastic process modelled in this paper by using Markov chains to get their main statistical properties. Proofs concerning the computation of the truncated run length properties are given. Tables summarising the main numerical results for several combinations of in-control CV values, sample sizes and shift sizes are provided. Moreover, a comparison analysis has been performed to show that implementing one-sided run rules type charts is the best decision most of the time. Finally, an example illustrates the use of these charts on real data. [Received 25 May 2014; Revised 17 November 2015; Accepted 28 March 2016]

Keywords: coefficient of variation; short production runs; Markov chains; truncated run length; control charts; SPC; statistical process control; one-sided run rules; process modelling; stochastic modelling; in-control CV values; sample sizes; shift sizes; process monitoring.

DOI: 10.1504/EJIE.2016.078804

European Journal of Industrial Engineering, 2016 Vol.10 No.5, pp.639 - 663

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 01 Sep 2016 *

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