Title: Novel approach to adaptive statistical process control optimisation with variable sampling interval and minimum expected loss

Authors: Emil Bashkansky; Valery Y. Glizer

Addresses: Department of Industrial Engineering and Management, ORT Braude College, P.O. Box 78, Karmiel, Israel. ' Department of Mathematics, ORT Braude College, P.O. Box 78, Karmiel, Israel

Abstract: We investigate the properties of an adaptive control chart with a variable sampling interval, intended to be the function of an observed standard score, optimising a control performance (minimum expected loss) versus a fixed sampling interval chart scheme. In order to solve this problem its transforming to an optimal control problem is proposed. The latter is then analysed by application of Pontryagin's maximum principle. The advantage of the optimal variable sampling interval in comparison with a fixed sampling interval is demonstrated.

Keywords: statistical process control; adaptive SPC; process optimisation; variable sampling interval; VSI; expected loss; Pontryagin's maximum principle; PMP; adaptive control charts.

DOI: 10.1504/IJQET.2012.049680

International Journal of Quality Engineering and Technology, 2012 Vol.3 No.2, pp.91 - 107

Received: 09 Feb 2012
Accepted: 01 Mar 2012

Published online: 12 Oct 2012 *

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