Economic design of two-stage X̄ charts: The Markov chain approach

International Journal of Production Economics

Volumn 95, Issue 1, 2005, Pages 9-20

  Costa, Antonio F B ^a   Magalhães, Maysa S De ^b  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

^b INSTITUTO BRASILEIRO DE GEOGRAFIA E ESTATÍSTICA   (Brazil)

Author keywords

Economic design; Performance variable; Surrogate variable; Two stage control chart

Indexed keywords

CORRELATION METHODS; COSTS; ELECTRONIC EQUIPMENT; FUNCTIONS; MATHEMATICAL MODELS; PARAMETER ESTIMATION;

ECONOMIC DESIGN; PERFORMANCE VARIABLE; SURROGATE VARIABLE; TWO-STAGE CONTROL CHART;

MARKOV PROCESSES;

EID: 10444225894     PISSN: 09255273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijpe.2003.10.024     Document Type: Article

References (24)

1. Bai, D.S., Lee, M.K., 1996. Economic design of two-sided single and double screening procedures. Metrika 44, 53-69.
2. Bai, D.S., Kwon, H.M., Lee, M.K., 1995. An economic 2-stage screening procedure with a prescribed outgoing quality in logistic and normal models. Naval Research Logistics 42, 1081-1097.
3. Baker, K.R., 1971. Two process models in the economic design of an X̄-chart. AIIE Transactions 3, 257-263.
4. Bather, J.A., 1963. Control charts and minimization of costs. Journal of The Royal Statistical Society B 25, 49-80.
5. Costa, A.F.B., Rahim, M.A., 2000. Economic design of X̄ and R charts under Weibull shock models. Quality and Reliability Engineering International 16, 143-156.
6. Costa, A.F.B., Rahim, M.A., 2001. Economic design of X̄ charts with variable parameters: The Markov chain approach. Journal of Applied Statistics 28, 875-885.
7. Costa, A.F.B., Rahim, M.A., 2004. Joint X̄ and R charts with two stage samplings. Quality and Reliability Engineering-International 20, 1-10.
8. Das, T.K., Jain, V., 1997. An economic design model for X̄ charts with random sampling policies. IIE Transactions 29, 507-518.
9. De Magalhães, M.S., Epprecht, E.K., Costa, A.F.B., 2001. Economic design of a Vp X̄ chart. International Journal of Production Economics 74, 191-200.
10. Duncan, A.J., 1956. The economic design of X charts used to maintain current control of a process. Journal of American Statistical Association 51, 228-242.
11. Flaig, J.J., 1991. Adaptive control charts. In: Keats, J.B., Montgomery, D.C. (Eds.), Statistical Process Control in Manufacturing. Marcel Dekker, New York, pp. 111-122.
12. Fuller, W.A., 1987. Measurement Error Models. Wiley, New York.
13. Kim, C.T., Tang, L., Peters, M., 1994. Design of a 2-stage procedure for 3-class screening. European Journal of Operational Research 79, 431-442.
14. Lee, M.K., Elsayed, E., 2002. Process mean and screening units for filling process under two-stage screening procedure. European Journal of Operational Research 138, 118-126.
15. Lee, J., Kwon, W.J., 1999. Economic design of a two-stage control chart based on both performance and surrogate variable. Naval Research Logistics 46, 958-977.
16. Lorenzen, T.J., Vance, L.C., 1986. The economic design of control charts: a unified approach. Technometrics 28, 3-10.
17. MATLAB Optimization Toolbox - User's Guide, 1994. The Mathworks, Natick.
18. Montgomery, D.C., 1982. Economic design of an X̄ control chart. Journal of Quality Technology 14, 40-43.
19. Panagos, M.R., Heikes, R.G., Montgomery, D.C., 1985. Economic design of X control charts for two manufacturing process models. Naval Research Logistics 32, 631-646.
20. Park, C., Reynolds Jr., M.R., 1994. Economic design of a variable sample size X̄-chart. Communications in Statistics - Simulation and Computation 23, 467-483.
21. Rahim, M.A., Costa, A.F.B., 2000. Joint economic design of X̄ and R charts under Weibull shock models. International Journal of Production Research 38, 2871-2889.
22. Ross, S.M., 1992. Applied Probability Models with Optimization Applications. Dover, New York.
23. Tang, K., 1988. Design of a 2-stage screening procedure using correlated variables - a loss function approach. Naval Research Logistics 25, 513-533.
24. Taylor, H.M., 1967. Statistical control of a gamma process. Technometrics 9, 29-41.