Abstract
Most of the studies in economic design of control charts focus on a fixed-sampling interval (FSI), however, it has been discovered that variable-sampling-interval (VSI) control charts are substantially quicker in detecting shifts in the process than FSI control charts due to a higher frequency in the sampling rate when a sample statistic shows some indication of a process change. In this paper, an economic design for a VSI \(\bar{x}\) control chart is proposed for a continuous-flow production process. The results of a numerical example adopted from an actual case indicate that the economic design of VSI control charts is consistently lower in loss-cost than that of the FSI scheme.
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References
Duncan AJ (1956) The economic design of \(\bar{x}\) charts used to maintain current control of a process. J Amer Stat Assoc 51:228–242
Duncan AJ (1971) The economic design of \(\bar{x}\) charts when there is a multiplicity of assignable causes. J Amer Stat Assoc 66(333):107–121
Taylor HM (1968) The economic design of cumulative sum control charts. Technometrics 10:479–488
Gibra IN (1971) Economically optimal determination of parameters of \(\bar{x}\) control charts. Manage Sci 17:635–646
Lorenzen TJ, Vance LC (1986) The economic design of control charts: a unified approach. Technometrics 28(1):3–10
Banerjee PK, Rahim MA (1988) Economic design of \(\bar{x}\) control charts under weibull shock models. Technometrics 30(4):407–414
Torng CC, Montgomery DC, Cochran JK (1994) Economic design of the EWMA control charts. Econ Qual Control 9(1):3–23
Koo TY, Case KE (1990) Economic design of \(\bar{x}\) control charts for use in monitoring continuous flow processes. Int J Prod Res 28(11):2001–2011
Renolds MR, Amin RW, Arnold JC, Nachlas JA (1988) \(\bar{x}\) charts with variable sampling intervals. Technometrics 30(2):181–192
Parkhideh B, Case KE (1989) The economic design of a dynamic \(\bar{x}\) control chart. IIE Trans 21:313–323
Ohta H, Rahim MA (1997) A dynamic economic model for an \(\bar{x}\) control chart design. IIE Trans 29:481–486
Bai DS, Lee KT (1998) An economic design of variable sampling interval \(\bar{x}\) control charts. Int J Prod Econ 54:57–64
Yu FJ, Wu HH (2004) An economic design for variable sampling interval MA control charts. Int J Adv Manuf Technol 24:41–47
Reklaitis GV, Ravindran A, Ragsdell KM (1985) Engineering optimization method and applications. Wiley, New York
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Yu, FJ., Chen, YS. An Economic design for a variable-sampling-interval \({\bar{x}}\) control chart for a continuous-flow process. Int J Adv Manuf Technol 25, 370–376 (2005). https://doi.org/10.1007/s00170-003-1852-2
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DOI: https://doi.org/10.1007/s00170-003-1852-2