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FGP model to optimize performance of tableting process with three quality responses

This research aims at optimizing the performance of tableting process with three quality responses: tablet’s weight, thickness and hardness, using the additive weighted model in fuzzy goal programming (FGP). At initial factor settings, the x ¯ –s control charts are established, then found in-control for all the three responses. The estimated process capability index, C ^ p k , values indicate that the process is highly capable for weight (=2.78), capable for thickness (=1.79), but it is incapable for hardness (=0.093). Three three-level process factors are investigated including: machine speed, compression force and filling depth, using an L 9 array. Confirmation experiments at the combination of optimal factor settings obtained using the FGP provide Cpk values of 4.73, 2.03 and 2.04 for weight, thickness and hardness, respectively. These values indicate that the tableting process becomes highly capable for the three responses. In addition, the estimated multivariate process capability index, MCpk (=2.70), has been greatly improved from the estimated value (=0.77) at the combination of initial factor settings. Such an improvement in process performance will lead to huge savings in quality and production costs. In conclusion, the FGP model will provide great support to process/product engineers when improving process performance with multiple quality responses.