Homework 8 Monte Carlo Simulation using Minitab 2014

Homework 8 - Monte Carlo Simulation using Minitab © 2014 Andrew Walsh 1

Monte Carlo Simulation in Minitab n n n Our project is to reduce the variability of blend uniformity in a V” blender. We have already performed a Full Factorial Design of Experiment and want to further improve the process. Since experimental runs interfere with the production schedule we want to make sure we get the best results possible from our runs. © 2014 Andrew Walsh 2

Monte Carlo Simulation in Minitab n n n We know from the lecture that the variability of the Inputs has an impact on the Outputs of our Process. We can use approaches such as “Parameter Design” and “Tolerance Allocation” to explore the effects the Inputs have on the Output of our Process We will perform a Monte Carlo simulation using the data from the Design of Experiment to determine the best directions to proceed in. © 2014 Andrew Walsh 3

Monte Carlo Simulation in Minitab n Use the following slides to guide you through the process of creating random values for our Inputs in Minitab and performing Monte Carlo simulations using the Transfer Function from our Design of Experiment Homework. © 2014 Andrew Walsh 4

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 5

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 6

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 7

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 8

Monte Carlo Simulation in Minitab Transfer Function from Do. E © 2014 Andrew Walsh 9

Monte Carlo Simulation in Minitab Transfer Function from Do. E © 2014 Andrew Walsh 10

Monte Carlo Simulation in Minitab Column of Data calculated from Transfer Function based on Monte Carlo Simulations of Batch Parameters © 2014 Andrew Walsh 11

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 12

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 13

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 14

Monte Carlo Simulation in Minitab Parameter Design: Move μ of Batch Size data higher © 2014 Andrew Walsh 15

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 16

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 17

Monte Carlo Simulation in Minitab Tolerance Allocation: Tighten σ of data for Time © 2014 Andrew Walsh 18

Monte Carlo Simulation in Minitab © 2014 Andrew Walsh 19