?url_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adc&rft.relation=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F180%2F&rft.title=General+Statistical+Design+of+an+Experimental+Problem+for+Harmonics&rft.creator=Lamoureux%2C+Michael&rft.subject=Transport+and+Automotive&rft.description=Four+years+ago%2C+the+Michelin+Tire+Corporation+proposed+a+problem+on+experimental+design%2C+to+improve+the+manufacturing+process+for+their+tires.+The+idea+is+basically+to+determine+the+effects+of+placements+for+various+layers+built+up+in+the+construction+of+a+tire%2C+to+allow+the+design+of+a+smooth+tire+with+a+smooth+ride.+A+highly+success+solution+was+developed%2C+and+it+has+been+reported+that+this+method+introduced+savings+of+over+half+a+million+dollars+in+their+test+processes.+This+year%2C+Michelin+returned+to+the+workshop+with+an+extension+to+the+original+problem%2C+to+address+specific+refinements+in+the+testing+method.+This+report+summarizes+the+work+completed+in+course+of+the+five+day+workshop.%0A%0AIt+was+clear+early+in+the+workshop+that+this+problem+could+be+handled+quickly+by+reviewing+the+analysis+which+was+done+in+2000%2C+and+extending+those+ideas+to+the+new+problems+at+hand.+We+reviewed+the+required+Fourier+techniques+to+describe+the+harmonic+problem%2C+and+statistical+techniques+to+deal+with+the+linear+model+that+described+how+to+accurately+measure+quantities+that+come+from+real+experimental+measurements.+The+%E2%80%9Cprime+method%E2%80%9D+and+%E2%80%9Cgood+lattice+points+method%E2%80%9D+were+reviewed+and+re-analysed+so+we+could+understand+(and+prove)+why+they+work+so+well.+We+then+looked+at+extending+these+methods+and+successfully+found+solutions+to+problem+1)+and+2)+posed+by+Michelin.+Matlab+code+was+written+to+test+and+verify+the+algorithms+developed.+We+have+some+ideas+on+problems+3)+and+4)%2C+which+are+also+described.&rft.date=2004&rft.type=Study+Group+Report&rft.type=NonPeerReviewed&rft.format=application%2Fpdf&rft.language=en&rft.identifier=http%3A%2F%2Fmiis.maths.ox.ac.uk%2Fmiis%2F180%2F1%2Fmichelin.pdf&rft.identifier=++Lamoureux%2C+Michael++(2004)+General+Statistical+Design+of+an+Experimental+Problem+for+Harmonics.++%5BStudy+Group+Report%5D+++++