Title: Models of P control chart with tardiness penalty

Authors: Jing Sun, Masayuki Matsui

Addresses: Department of Systems Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Cofu-Shi, Tokyo, 182-8585, Japan; Aoyama Gakuin University, 4-4-25 Shibuya, Shibuya-ku, Tokyo, Japan. ' Department of Systems Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Cofu-Shi, Tokyo, 182-8585, Japan

Abstract: Due to today|s increasing competition, a major trend is the demand of customers to manufacturers for supplying higher quality products in shorter due time. This paper proposes two models of P control chart with tardiness penalty used in short due time processes to improve the quality of manufacture. When the P control chart is used in short due time process, the penalty cost for the delay might be imposed. Therefore, clarifying and treating the assignable cause in due time with minimum cost have become a reality problem. In this paper, first, we propose two models of P control chart with tardiness penalty. Then, we explain the mathematical formulations which correspond to the two models. Finally, to clarify the management rules of process situations where the two models should be used in, we investigated the comparisons between the two models by numerical experiments in detail.

Keywords: P control charts; tardiness penalties; economic models; manufacturing improvements; short due time processes; competition; customer demand; product quality; delays; assignable causes; minimum costs; reality problems; mathematical formulations; numerical experiments; productivity; statistical process control; SPC.

DOI: 10.1504/IJPQM.2010.034403

International Journal of Productivity and Quality Management, 2010 Vol.6 No.2, pp.137 - 155

Published online: 02 Aug 2010 *

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