Joint Economic Design ofXand R Control Charts with Alternate Process Models
- 1 September 1979
- journal article
- research article
- Published by Taylor & Francis in A I I E Transactions
- Vol. 11 (3) , 254-260
- https://doi.org/10.1080/05695557908974468
Abstract
We investigate the effects of alternate process models on the economic design of X andi? charts employed simultaneously. These process models comprise a memoryless or Markov model, the geometric model, and two models with memory, the Poisson and logarithmic series. Numerical results for a large experimental design are presented. These results indicate that both the Markov assumption and the shape of the distribution of the process model are important determinants of the quality of X and R control chart designs.Keywords
This publication has 10 references indexed in Scilit:
- Joint Economically Optimal Design of X̄ and R Control ChartsManagement Science, 1977
- Process Failure Mechanisms and Optimal Design of Fraction Defective Control ChartsA I I E Transactions, 1976
- Economic Design of Fraction Defective Control ChartsManagement Science, 1975
- Economic Design of Attribute Control ChartsTechnometrics, 1975
- Alternative Process Models in the Economic Design of T2Control ChartsA I I E Transactions, 1974
- Optimal Use of Control Charts for Controlling Current ProductionManagement Science, 1973
- Economic Design of T2 Control Charts to Maintain Current Control of a ProcessManagement Science, 1972
- Two Process Models in the Economic Design of an X ChartA I I E Transactions, 1971
- Economically Optimal Determination of the Parameters of X̄-Control ChartManagement Science, 1971
- THE PROBABILITY INTEGRAL OF THE RANGE IN SAMPLES OF n OBSERVATIONS FROM A NORMAL POPULATIONBiometrika, 1942