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Quality control chart design under Jidoka

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  • Emre Berk
  • Ayhan Özgür Toy

Abstract

We consider design of control charts in the presence of machine stoppages that are exogenously imposed (as under jidoka practices). Each stoppage creates an opportunity for inspection/repair at reduced cost. We first model a single machine facing opportunities arriving according to a Poisson process, develop the expressions for its operating characteristics and construct the optimization problem for economic design of a control chart. We, then, consider the multiple machine setting where individual machine stoppages may create inspection/repair opportunities for other machines. We develop exact expressions for the cases when all machines are either opportunity‐takers or not. On the basis of an approximation for the all‐taker case, we then propose an approximate model for the mixed case. In a numerical study, we examine the opportunity taking behavior of machines in both single and multiple machine settings and the impact of such practices on the design of an X – Q C chart. Our findings indicate that incorporating inspection/repair opportunities into QC chart design may provide considerable cost savings. © 2009 Wiley Periodicals, Inc. Naval Research Logistics 2009

Suggested Citation

  • Emre Berk & Ayhan Özgür Toy, 2009. "Quality control chart design under Jidoka," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(5), pages 465-477, August.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:5:p:465-477
    DOI: 10.1002/nav.20357
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    References listed on IDEAS

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    1. Isaac N. Gibra, 1971. "Economically Optimal Determination of the Parameters of X\bar -Control Chart," Management Science, INFORMS, vol. 17(9), pages 635-646, May.
    2. W. K. Chiu, 1976. "Economic Design of np Charts for Processes Subject to a Multiplicity of Assignable Causes," Management Science, INFORMS, vol. 23(4), pages 404-411, December.
    3. Erwin M. Saniga, 1977. "Joint Economically Optimal Design of X\bar and R Control Charts," Management Science, INFORMS, vol. 24(4), pages 420-431, December.
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