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HW2_Quality_lossv2

HW2_Quality_lossv2 - 16.881 Robust System Design Homework#2...

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16.881 – Robust System Design Homework #2 Quality Loss Functions Due Date: Thursday, June 11, 1:05PM Objectives: Understand the mathematical properties of quality loss functions Explore the various formulations of the quality loss function Apply quality loss functions to engineering systems Note: In this course, if I ask for a proof , I’m looking for a derivation of the requested result from given formulae. If I ask for a demonstration , you should provide an instance of the phenomenon or property described using any appropriate means (e.g., a numerical example or a simulation). Assignment 1. (20%) Prove that the expected value of the nominal-the-best loss function is proportional to the second moment of the quality characteristic about the target value. 2. (60%) A plant manufactures 100 Ohm resistors. The acceptable tolerances are ± 5% of the nominal value. The cost to scrap the product ( A o ) is $0.10. Explore the effect of bias (mean shift) and variance on quality loss. You may do this
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