DiscoverSim™ Version 2.1 Workbook Contact Information: Technical Support: 1-866-475-2124 (Toll Free in North America) or 1-416-236-5877 Sales: 1-888-SigmaXL (888-744-6295) E-mail: [email protected] Web: www.SigmaXL.com Published: July 2018 Copyright © 2011 - 2018, SigmaXL, Inc. Table of Contents DiscoverSim™ Feature List Summary, Installation Notes, System Requirements and Getting Help ................................................................................................................................ 1 DiscoverSim™ Version 2.1 Feature List Summary ................................................................... 3 Key Features (bold denotes new in Versions 2.0 and 2.1): ............................................... 3 Common Continuous Distributions: .................................................................................. 4 Advanced Continuous Distributions: ................................................................................. 4 Discrete Distributions: ....................................................................................................... 5 Stochastic Information Packet (SIP): .................................................................................. 5 What’s New in Version 2.1 ................................................................................................. 6 What’s New in Version 2.0 ................................................................................................. 7 Installation Notes ............................................................................................................... 9 DiscoverSim™ System Requirements ............................................................................... 13 Getting Help and Product Registration ............................................................................ 14 Initializing DiscoverSim Workbook .................................................................................. 15 Introduction to DiscoverSim™, Getting Started Tutorial and DiscoverSim™ Menu & Dialogs 17 Introduction to Monte Carlo Simulation and Optimization with DiscoverSim™ ................... 19 The Y=f(X) Model ............................................................................................................. 19 Monte Carlo Simulation ................................................................................................... 20 Components of Uncertainty ............................................................................................ 22 Selecting a Distribution .................................................................................................... 23 Specifying Truncation Values ........................................................................................... 25 Specifying Correlations .................................................................................................... 26 Optimization: Stochastic Versus Deterministic ............................................................... 27 Optimization: Local Versus Global ................................................................................... 28 Components of Optimization........................................................................................... 29 Summary of Optimization Features ................................................................................. 30 Getting Started Tutorial ......................................................................................................... 31 Overview of DiscoverSim™ Menu and Dialogs ...................................................................... 38 DiscoverSim Menu ........................................................................................................... 38 iii DiscoverSim: Table of Contents DiscoverSim Options ........................................................................................................ 39 Create/Edit Input Distribution ......................................................................................... 40 Create/Edit Output Response .......................................................................................... 42 Copy Cell, Paste Cell, Clear Cells ...................................................................................... 43 Model Summary ............................................................................................................... 44 Run Simulation ................................................................................................................. 45 Distribution Fitting: Batch Distribution Fit ....................................................................... 49 Distribution Fitting: Specified Distribution Fit ................................................................. 51 Distribution Fitting: Nonnormal Process Capability ........................................................ 53 Distribution Fitting: Percentiles to Parameters Calculator .............................................. 55 Correlations ...................................................................................................................... 56 Optimization: Control ...................................................................................................... 57 Optimization: Constraint.................................................................................................. 58 Optimization: DSIM Function ........................................................................................... 59 Run Optimization ............................................................................................................. 60 DiscoverSim™: Case Studies .......................................................................................... 67 Case Study 1 – Basic Profit Simulation ................................................................................... 68 Introduction: Profit Simulation ........................................................................................ 68 Profit Simulation with DiscoverSim ................................................................................. 70 Case Study 2 –Magazine Production Optimization ............................................................... 89 Introduction: Simulation and Optimization to Determine Optimal Magazine Production Quantity to Maximize Profit ............................................................................................ 89 Optimization of Magazine Production Quantity with DiscoverSim ................................. 91 Case Study 3 – Six Sigma DMAIC Project Portfolio Selection .............................................. 101 Introduction: Optimizing DMAIC Project Portfolio to Maximize Cost Savings .............. 101 Optimization of Project Portfolio with DiscoverSim ...................................................... 102 Case Study 4 – Catapult Variation Reduction ...................................................................... 124 Introduction: Optimizing Catapult Distance Firing Process ........................................... 124 Catapult Simulation and Optimization with DiscoverSim .............................................. 126 Case Study 5 – Robust New Product Design ........................................................................ 141 Introduction: Optimizing Shutoff Valve Spring Force .................................................... 141 Spring Force Simulation and Optimization with DiscoverSim ....................................... 144 iv DiscoverSim: Table of Contents Case Study 6 – Multiple Response Optimization and Practical Tolerance Design .............. 162 Introduction: Optimizing Low Pass RC Filter.................................................................. 162 Multiple Response Optimization and Practical Tolerance Design of Low Pass RC Filter with DiscoverSim .................................................................................................................... 166 Case Study 6 References ................................................................................................ 191 Case Study 7 – The Travelling Salesperson Problem (TSP) .................................................. 192 Introduction: Optimizing Travel to 30 International Cities ............................................ 192 Optimizing Travel to 30 International Cities with DiscoverSim ..................................... 194 Case Study 7 References ................................................................................................ 202 DiscoverSim™ Appendix: Statistical Details for Distributions and Optimization Methods203 Statistical Details for Distributions and Optimization Methods .......................................... 205 DiscoverSim™ Engine and Excel Formula Interpreter ................................................... 205 Input Distribution Random Number Generation ........................................................... 206 Input Distribution Correlations ...................................................................................... 207 Input Distribution Sampling ........................................................................................... 209 Input Distribution Truncation ........................................................................................ 211 Table of DSIM Functions ................................................................................................ 212 Specifying the Optimization Objective Function ..........................................................