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### Lec 08a - Alias Structure

Course: ENG 300, Fall 2011
School: Rutgers
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the Write calculation matrix and design matrix for a 24-1 design with 1 replicate where X4 is confounded with X123 Write the X1 X2 X3 1 2 3 4 5 6 7 8 + + + + + + + + + + + + X4 +X123 + + + + X12 X13 X14 X23 X24 X34 X123 +X4 + + + + X124 X234 X134 X1234 Write calculation the matrix and design matrix for a 24-1 design with 1 replicate where X4 is confounded with X12. Calculation Matrix X1 1 2 3 4 5 6 7 8 X2 X3 + + + + + + -+ + + + + + X4 +X12 + + + + X12 X13 X14 X23 X24 X34 X123 X124 X234 X134 X1234
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Rutgers - ENG - 300
Variation in ProcessesCommon Causes:many unavoidable relatively small causesof variationSpecial Causes:unusual things that happen that causevariationNames for Special and CommonCausesSPECIAL CAUSESCOMMON CAUSESLocal faultssystem faultssporadi
Rutgers - ENG - 300
Variables Control Charts:Constructing X and R ChartsBACKGROUND MATERIAL:Statistics of the Range R, range is a sample statisticif X1, X2, are iid Normalthen R has following relationship to = R / d2where d2 (given n) comes fromTable A.2 (p. 789 De
Rutgers - ENG - 300
Rational SamplingEach observation in a subgroup has the same lifestoryKeep Sample Sizes Smallnew events don't occur during samplingnot too expensivelarge enough so that X i is normally dist.large enough to detect shiftsSample Frequentlydon't wast
Rutgers - ENG - 300
Attributes Control ChartsVariables Control Charts for continuous measurementsAttribute Control Charts for discrete measurementsP Charts for Fraction DefectiveMonitors fraction defectiveDefective is unusablefraction of broken glass platesfraction of
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Control Charts for IndividualMeasurementsSometimes repeated measures in asubsample don't make senseoven temperatureinventory levelaccounts payableIf variation in subsample only reflectsmeasurement error, use individualmeasurementsProcess Industr
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Some Useful ApproximationsBinomialPoissonIf np&lt;5 and p&lt;.1 or p&gt;.9Approx withPOISSONIf np&gt;5 or .1&lt;p&lt;.9Approx withNORMAL Approximate Binomial withPoissonNormal Approximate Poisson withNormalApprox withNORMALApproximate Binomial with Poisson
Rutgers - ENG - 300
Accept or reject a lot?Three approaches to lot sentencing :1. Accept with no inspection Cp is 3 or 4; vendor isexcellent; has excellent process control2. 100% inspection critical component, technologyavailable3. Acceptance sampling -Goal is decisio
Rutgers - ENG - 300
540:311 DETERMINISTIC MODELS INOPERATIONS RESEARCHLecture 1: Introduction, Administration,Examples of mathematical programsClass Meeting: MTH 2 10:20-11:40am (SEC-209)Recitation W6-7pm (SEC-217)Prof. W. Art Chaovalitwongse(Dr. Chao-va-lit-wongs, Dr
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Rutgers - ENG - 300
540:311 DETERMINISTIC MODELS INOPERATIONS RESEARCHLecture 4: Chapter 3.5 3.12Class Meeting: Thu Feb 2nd 10:20-11:40amProf. W. Art ChaovalitwongseExample 1ABC, Inc., manufactures wooden soldiers and trains.Each soldier built: Sell for \$27 and uses
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540:311DETERMINISTICMODELSINOPERATIONSRESEARCHLecture6:Chapter4.14.4TheSimplexAlgorithmClassMeeCng:MonFeb7th10:2011:40amProf.W.ArtChaovalitwongse4.1HowtoConvertanLPtoStandardFormBefore the simplex algorithm can be used to solve an LP, theLP must b
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540:311DETERMINISTICMODELSINOPERATIONSRESEARCHLecture6:Chapter4.64.12ClassMeeDng:ThuFeb10th10:2011:40amProf.W.ArtChaovalitwongseSimplexandItsGeometrymax z = 3x1 + 2x2s.t.-x1 + 3x2 12x1 + x2 82x1 - x2 10x1, x2 0max z = + 3x1+ 2x2s.t.-x1 + 3x2
Rutgers - ENG - 300
Rutgers - ENG - 300
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Rutgers - ENG - 300
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Rutgers - ENG - 300
540:311 DETERMINISTIC MODELS IN OPERATIONS RESEARCH Lecture 10: Chapter 5 Class Mee@ng: Thu Mar 24th 10:2011:40am Prof. W. Art Chaovalitwongse 5.4 What happens to the Op@mal zValue if the Current Basis Is No
Rutgers - ENG - 300
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Rutgers - ENG - 300
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Rutgers - ENG - 300
540:311DETERMINISTICMODELSINOPERATIONSRESEARCHLecture13:Chapter6.56.10ClassMeeCng:ThuApril14th10:2011:40amProf.W.ArtChaovalitwongse6.5FindingtheDualofanLPAssociated with any LP is another LP called the dual.Knowledge of the dual provides interestin
Rutgers - ENG - 300
540:311DETERMINISTICMODELSINOPERATIONSRESEARCHLecture14:Chapter8.18.3ClassMeeCng:MonApril18th10:2011:40amProf.W.ArtChaovalitwongseDescripConManyimportantop@miza@onproblemscanbeanalyzedbymeansofgraphicalornetworkrepresenta@on.Thefollowingnetworkmo
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Rutgers - ENG - 300
Rutgers - ENG - 300
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Rutgers - ENG - 300
540:311DETERMINISTICMODELSINOPERATIONSRESEARCHLecture18:FinalReview2Prof.W.ArtChaovalitwongseTopics Ch.4:SimplexMethod Ch.5:Sensi@vityAnalysis GraphicalSensi@vityAnalysis LINDOSensi@vityAnalysis(including100%rule) Ch.6:MatrixNota@on SimplexM
Rutgers - ENG - 303
General Course InformationRutgers University, Department of Industrial Engineering540:303 Manufacturing Processes, Spring 2010,Time: MW 1:40-3:00 p.m.Place: HILL -009Course Coordinator and InstructorProfessor Tugrul Ozel, CoRE-208Office Hours: M W
Rutgers - ENG - 303
Engineering Materials andTheirTheir PropertiesManufacturing Processes Spring 2011Prof. T. zelManufacturing ProcessesNet shape processes Bulk Deformation(Forging, Rolling, Extrusion, Drawing) Sheet Metal Forming (Shearing, Bending) Metal Casting
Rutgers - ENG - 303
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Rutgers - ENG - 303
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Rutgers - ENG - 303
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Rutgers - ENG - 303
CHAPTER 7Sheet-Metal Forming ProcessesManufacturing ProcessesProf. Tugrul OzelManufacturing Processes: Forming and ShapingSchematic illustration of various sheet metal formingillustration of various sheet metal formingprocessesManufacturing Proces
Rutgers - ENG - 303
CHAPTER 9Abrasive andNon-TraditionalMaterialRemovalProcessesProcessesManufacturing ProcessesProf. Tugrul OzelRelative Knoop Hardness9.2 AbrasivesPCDCBN1. Conventional abrasives: Aluminum oxide (Al2O3) Silicon carbide (SiC)SiliconCarbideAlu
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Rutgers - ENG - 303
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Rutgers - ENG - 303
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Rutgers - ENG - 303
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Filters and AmplifiersLow-pass filterDESIGN OF ENGINEERING SYSTEMS IMarch 30, 2011Filters and AmplifiersHigh-pass filterBand-pass filterDESIGN OF ENGINEERING SYSTEMS IMarch 30, 2011Filters and Amplifiers No current flows into the inputs of the o
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Rutgers - ENG - 303
Stepper Motors Brushed permanent magnet DC motors providecontinuous motion at some controllable speed What if we like to control the position?Brushed or brushless DC motor will work but you may needother components such as encoders to work in closed-
Rutgers - ENG - 303
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Rutgers - ENG - 303
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Rutgers - ENG - 303
Safety Factor and ReliabilityLet S denote the strength random variable and s the stress random variable. The random variabley = (S s) is then related to the reliability of the component by= P( y 0)R(1)When strength and stress random variables have n
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University of Texas - CALCULUS - 7234832
tran (pt4954) 5.3 campisi (54970)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00143.32010.0 pointsA function h has graph242424242-3-40422
University of Texas - CALCULUS - 7234832
tran (pt4954) 5.5 campisi (54970)This print-out should have 7 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the value ofThe graph of f has slopedf= 3xdx2 x2 + 1and
University of Texas - CALCULUS - 7234832
tran (pt4954) 6.1 campisi (54970)This print-out should have 6 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsExpress the area, A, between the graph off and the x-axis on the
University of Texas - CALCULUS - 7234832
tran (pt4954) 6.2 campisi (54970)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 pointsFind the volume, V , of the solid obtainedby rotating the region
University of Texas - CALCULUS - 7234832
tran (pt4954) 6.2 campisi (54970)This print-out should have 5 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.00110.0 points0023, x = 2, x = 3, y = 0x10.0 pointsFind the volume, V , of
University of Texas - CALCULUS - 7234832
CH 302 SUTCLIFFE EXAM 1 SPRING 2011 EQUATIONS760 mm Hg = 760 torr = 1 atmJL . atmR = 8.314R = 0.08206mol.Kmol.Kq = nCm Tq = mCs TCsqunits(J / g K )fus / vap= nHCmunits( J / mol K )fus / vap , molar0H rxn = nH 0 , products nH 0 , react
University of Texas - CALCULUS - 7234832
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University of Texas - CALCULUS - 7234832
tran (pt4954) Homework 1 sutclie (51045)This print-out should have 20 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.001 10.0 pointsIf G is positive, then the forward reactionrxnis (sponta
University of Texas - CALCULUS - 7234832
tran (pt4954) Homework 2 sutclie (51045)This print-out should have 21 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.NOTE: AFTER QUESTION 15 READCAREFULLY! Some questions will requireyou to
University of Texas - CALCULUS - 7234832
tran (pt4954) Homework 2 sutclie (51045)This print-out should have 21 questions.Multiple-choice questions may continue onthe next column or page nd all choicesbefore answering.NOTE: AFTER QUESTION 15 READCAREFULLY! Some questions will requireyou to
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MANUAL DE ANLISE TCNICACAPTULO 1INTRODUOCAPTULO 2PREMISSAS BSICAS E BASE CONCEITUAL DA ANLISE TCNICA2.1 - CONSTRUO DE GRFICOS2.2 - TEORIA DO DOW E CONCEITO BSICO DE TENDNCIA2.3 - CONCEITOS DE SUPORTE E RESISTNCIA2.4 - GAPS: TIPOS E SIGNIFICADOS2.
Universidade Federal de Minas Gerais - ENG - 101