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CONCLUSION
summary
The objective of this research is to develop different Process Targeting models for single stage production processes with multi-class screening.
The, literature in the area was reviewed along with the Min et al. (1997) model in chapter 2. The first model that extends the Min et al. (1997) has been presented in chapter 3. In this chapter, the unrealistic assumption of error free measurement system was relaxed and a model for the case of unbiased and normally distributed measurement error was developed. Sensitivity analysis for this model was also discussed in the chapter. The effect of inconsistencies of the product was introduced, for the Min et al (1997) model, in chapter 4, followed by the two special cases in the same chapter. Sensitivity analysis was also presented in chapter 4 for these special cases. In chapter 5, model 2 and model 3, developed in chapter 3 and 4 are integrated. The two special cases are presented in this chapter of model 4 followed by its sensitivity analysis.
In chapter 6, all the four models are compared analytically and numerically. This chapter gives a good idea of when a simpler model can be approximated for the other, more generalized, model.
As the models presented in preceding chapters, are for three-class screening, a generalized form of the models i.e., for models with n-class screening is presented in section 7.2. In Section 7.4, several future directions of research are indicated. Lastly, in section 7.4, thesis conclusion is presented. The contributions form this thesis work can be summarized as follows:
Three models were developed for various multi-class screening targeting problems
The first extension, for the case of measurement systems with error performed well in reducing the effect of error of the profit.
In the second extension, a penalty similar to that of Taguchi Quadratic Loss Function was introduced in the Min et al (1997) model. Two special cases were derived i.e., in the first case the target is assumed set at the process mean itself, while in the second special case the target is set the specification limit of the grade 1.
In the third extension, the two models are integrated i.e., for the case of measurement error and uniformity penalty.
The models are also compared with each other, both analytically and numerically. It was verified that the simpler models are special cases of the more generalized models.
The numerical comparison of the model 2 and model 1 showed that the model 1 can be approximated for model 2 if the error is very small as well as the cost of manufacturing.
future research
The work in this thesis can be extended in several directions. Some of these directions are:
To generalize the above model to the case of n-class screening situation.
To develop the models with other sampling plans.
To extend the model to the situation where the process deteriorates. In the presented models, the process is assumed to be static and no deterioration with time is considered. Another extension is, to develop models for Processes with drift.
TO generalize the model to multi-stage production or processes in series. One of the assumptions is that the production of the items is considered a one step process. The models can be extended for the case of machines in series.
To extend the models where there is constraint for meeting certain Demand.
To extend the model by integrating production decisions. This is a new area of research.
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