Search results for "ε-constraint method"

showing 3 items of 3 documents

Optimal pareto solutions of a dynamic C chart: An application of statistical process control on a semiconductor devices manufacturing process

2015

The present paper proposes a novel economic-statistical design procedure of a dynamic c control chart for the Statistical Process Control (SPC) of the manufacturing process of semiconductor devices. Particularly, a non-linear constrained mathematical programming model is formulated and solved by means of the ε-constraint method. A numerical application is developed in order to describe the Pareto frontier, that is the set of optimal c charts and the related practical considerations are given. The obtained results highlight how the performance of the developed dynamic c chart overcome that of the related static one, thus demonstrating the effectiveness of the proposed procedure.

Dynamic C chartMultidisciplinaryStatistical process controlε-constraint methodMulti-objective designSemiconductor devices manufacturing
researchProduct

ECONOMIC-STATISTICAL DESIGN APPROACH FOR A VSSI X-BAR CHART CONSIDERING TAGUCHI LOSS FUNCTION AND RANDOM PROCESS SHIFTS

2014

Economic design approaches of control charts are commonly based on the assumption that various cost parameters values and the occurrence risk of assignable causes have to be a priori known with precision. However, in real operative contexts, such parameters can be really difficult to accurately estimate, especially considering costs arising from out-of-control conditions of the process. As consequence, pure economic design approaches can involve chart schemes with low statistical performance. To overcome such limitation, it is herein proposed a multi-objective economic-statistical design approach for an adaptive X-bar chart. In particular, such approach aims at the minimization of both the…

EngineeringMathematical optimizationGeneral Computer Sciencebusiness.industryStochastic processEnergy Engineering and Power TechnologyAerospace Engineeringmulti-objective optimization problemStatistical process controlIndustrial and Manufacturing Engineeringadaptive X-bar control chartNuclear Energy and EngineeringChartControl chartTaguchi loss functionStatistical process controlSensitivity (control systems)ε-constraint methodElectrical and Electronic EngineeringSafety Risk Reliability and QualitybusinessRandom variableSettore ING-IND/16 - Tecnologie E Sistemi Di Lavorazione\bar x and R chart
researchProduct

Pareto frontier in economic-statistical design of a dynamic c chart

2015

The present paper proposes an economic-statistical multi-objective design procedure for a dynamic c control chart. In detail, a mixed integer non-linear constrained mathematical model is formulated to solve the treated problem, whereas the Pareto frontier is described by the ε-constraint method. To show the employment of the proposed procedure a numerical case is solved and the related considerations are given.

multi-objective designStatistical process controlε-constraint methoddynamic c chart
researchProduct