DIKTAT KULIAH PENGENDALIAN & PENJAMINAN KUALITAS (IE-501)

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1 DIKTAT KULIAH PENGENDALIAN & PENJAMINAN KUALITAS (IE-50) TOPIK 7: TAGUCHI PARAMETER DESIGN Diktat ii diguaka bagi mahasiswa Jurusa Tekik Idustri Fakultas Tekik Uiversitas Kriste Maraatha Disusu oleh: Ir. Rudy Wawolumaja M.Sc Rudijato Muis, ST, MT JURUSAN TEKNIK INDUSTRI - FAKULTAS TEKNIK UNIVERSITAS KRISTEN MARANATHA BANDUNG 03

2 TAGUCHI PENDAHULUAN Tekik Taguchi serig diguaka dalam peracaga DESIGN PRODUCT. The quality of a product is the ( miimum ) loss imparted by the product to the society from the time the product is shipped ( Geichi Taguchi ) Ada filosofi yag diguaka dalam Taguchi :. Parameter Desig. Eksperimetal Desig TAGUCHI PHILOSOPHY & METHODOLOGY IN PARAMETER DESIGN. Kosep LOSS FUNCTION LOSS : kerugia karea deviasi karakteristik produk dari ilai target. Gambara megeai The Quadratic Loss Fuctio : Loss LSL USL L = k ( y T ) Target Dimaa : L : Loss i dollars k : Cost Coefficiet y : Value of Quality Characteristic T : Target Value y. Tujua dalam Parameter Desig Taguchi adalah utuk memiimasi LOSS 3. Faktor yag mempegaruhi karakteristik produk ada jeis :. CONTROLLABLE FACTORS CONTROLLABLE FACTORS : faktor yag mudah utuk dikotrol. NOISE ( UNCONTROLLABLE FACTORS ) NOISE : variabel yag sulit atau tidak mugki utuk dikotrol

3 Secara Umum : Noise Factor palig bertaggug jawab utuk deviasi karakteristik produk dari target value. Setelah Noise Factor diidetifikasi, pedekataya BUKAN / TIDAK megotrol Noise Factor, karea sagat mahal atau tidak mugki. Tetapi dega memilih ilai dari Cotrollable Factors sedemikia sehigga produk atau proses tidak sesitif terhadap perubaha yag disebabka oleh Noise Factor Buka meghilagka peyebab dari NOISE, tetapi meguragi dampak To achieve robustess agaist Noise Ada 3 jeis Noise Factors : a. Outer Noise b. Ier Noise c. Betwee Product Noise Gambara megeai Kosep Noise Factor dalam Parameter Desig Product : Loss to the Society Deviatios of Fuctioal Characteristics from Target Value NOISE FACTORS Cause Deviatios Outer Noise Ier Noise Betwee Product Noise Variatio i Operatig Eviromets Huma Errors Deterioratio ( rusak/busuk ) Maufacturig Imperfectios

4 TAGUCHI PHILOSOPHY & METHODOLOGY IN EXPERIMENTAL DESIGN Lagkah-lagkah dalam Plaig The Experimetal Desig :. Statemet of the problem. Objective / Tujua dari eksperime 3. Peetapa karakteristik mutu da sistem pegukura. Pemiliha faktor-faktor yag mugki mempegaruhi karakteristik mutu 5. Idetifikasi faktor-faktor tersebut Megidetifikasi, maa faktor yag termasuk dalam : Cotrol Factor & Noise Factor 6. Pilih level utuk tiap faktor 7. Idetifikasi Cotrol Factor yag mugki beriteraksi 8. Pilih Orthogoal Array Orthogoal Array : faktor dapat dievalusi secara idepede, dimaa efek faktor tidak meggaggu estimasi faktor yag lai. Dalam peetua Orthogoal Array tergatug pada : a. Jumlah faktor da iteraksi b. Jumlah level utuk faktor Jeis-jeis dari Orthogoal Array seperti : L, L8, dll. 9. Masukka faktor da iteraksi ke dalam kolom 0. Lakuka test / eksperime. Aalisis hasil Dega melakuka perhituga terhadap S/N ( Sigal to Noise Ratio ) : a. Terbesar yag terbaik ( Higher the better ) : S N b. Lower the better : S N y -0 log -0 log c. Nomial is the best : Variace oly : Mea & variace :. Kofirmasi hasil y S N S -0 log N 0 log Ve Vm - Ve Ve Vm = Sm = Sum of the squares of the mea 3. Kesimpula eksperime

5 Cotoh Soal : A. Larger the better :. Statemet of the problem : Adhesive stregth of a plastic item. Tujua eksperime : the larger the better 3. Sistem Pegukura : Stregth kg / cm. Pemiliha faktor da level : ( lagkah, 5, da 6 ) Cotrol Factors Levels 0 A : Etchig time 8 mi 0 mi mi B : Etchig temperature 60 o C 70 o C 80 o C C : Mixig ratio C 0 C C D : Pre-treatmet method oe solvet hot water Noise Factors : N 0 = Normal Coditios of use N = Bad Coditios of use 7. Tidak ada Cotrol Factor yag beriteraksi 8. Jeis Orthogoal Array & hsl eksperime yg dilakuka ( lagkah 8, 9, 0, & ) : Adhesive stregth (kg / cm ) No. Cotrol Factors Noise Factor Exp. A B C D N 0 N S / N , , , , , , , , ,9 The larger the better : S N -0 log y Cotoh : No. Exp. S N -0 log y S N -0 log =,7 db 6 5

6 Factors & Iteractio A B C D TOTAL Sum at 0 5,3 57,3 6,5 58,0 factor 55, 6,7 60, 65,3 88,0 & level 78,3 66,0 65, 6,7 ( -, ) + ( -7, ) + (, ) + ( -7,3 ) + Square of ( - ) + ( -8,7 ) + ( -,6 ) + ( -6,7 ) + S T = differeces ( -,9 ) = ( -,3 ) = ( -,7 ) = ( 0,6 ) = 365,56 ( S ) 0,6 3, 33,6 98,5 % 80,67 % 9,68 %, % 7, % 00 % Diagram Pareto : 80,67 % 9,68 % 7, %, % A B D C A 0 = 5,3 / 3 = 8,0 D 0 = 58,0 / 3 = 9,33 A = 55, / 3 = 8,7 D = 65,3 / 3 =,77 A = 78,3 / 3 = 6,0 D = 6,7 / 3 =,57 B 0 = 57,3 / 3 = 9,0 C 0 = 6,5 / 3 = 0,83 B = 6,7 / 3 =,57 C = 60, / 3 = 0,3 B = 66,0 / 3 =,00 C = 65, / 3 =,70 S/N Ratio A B D C A 0 A A B 0 B B D 0 D D C 0 C C. Kesimpula : Kombiasi faktor level yag sigifika : A - B - D - C

7 B. Nomial is the best : Diketahui data dalam baris : T = yi = = 500 Sm = T. = yi - y y y... y Ve = i 0 Ve = = S m = 0.5 C. Nomial is the best :. Statemet of the problem : legth of a yardstick. Tujua eksperime : reduce yardstick variability & icrease cosistet legth closer to 36 iches 3. Target : 36,00 iches. Pemiliha faktor da level : ( lagkah, 5, da 6 ) Cotrol Factor Level Level Blade Metal ( A ) Carbo Steel Tugste Steel Saw rpm ( B ) Low High Wood Kil Time ( C ) moth 3 moth Motor Horse Power ( D ) hp 3 hp Saw fece agle ( E ) 0 degree degree Operator ( F ) Bill Joh Noise Factor Level Level Wood Source Norther Souther Blade Age New uits 7. Cotrol Factor yag beriteraksi : Blade Metal x Saw rpm 8. Jeis Orthogoal Array & hsl eksperime yg dilakuka ( lagkah 8, 9, 0, & ) : Jeis Orthogoal Array yag diguaka : Ier Array : L 8 Outer Array ( Noise ) : L

8 Tabel Orthogoal Array : A B A x B C D E F M M N N N N 35,675 36,0 3,805 35,690 35,70 35,695 35,800 36,760 35,830 36,75 36,30 35,5 35,665 35,05 36,0 35,570 35,805 36,70 35,0 3,675 36,680 36,5 36,780 36,995 36,870 36,55 36,985 36,350 35,50 35,55 35,0 36,5 Perhituga S/N : #. Vm = Sm = 35,675 36, 3,805 35,690 35,675 Ve = 36, 3,805-35, ,977 = 508,977 = 0,36 Vm - Ve 508,977-0,36 = S/N = 0 log = 0 log Ve 0,36 = 3,6 #. Vm = Sm = 35,70 35,695 35,800 36,760 35,70 Ve = 35,695 35,800-36,760-58,00 = 58,00 = 0,63 Vm - Ve 58,00-0,63 = S/N = 0 log = 0 log Ve 0,63 = 36,95 Ru # A B A x B C D E F S/N 3,6 36, ,07 37,0 5 33, , , ,680

9 #. A = A = 3,6 36,95 37,07 37,0 33,68 39,789 0,005 38,680 = 36,70 = 37,935 Effect A = = A A = 36,70 37,935 =,65 #. B = B = 3,6 36,95 33,68 39,789 37,07 37,0 0,005 38,680 = 36,56 = 38,9 Effect B = = B B = 36,56 38,9 =,09 Tabel Sigal to Noise Ratio : Respose Table A B A x B C D E F Level 36,70 36,56 37,563 36,7 37,56 35,957 37,99 Level 37,935 38,9 36,8 38,59 36,860 38,8 36,86 Delta ( ),65,09 0,7,9 0,686,90,33 S/N Respose Graph : S/N 39,0 38,0 37,0 36,0 35,0 A A B B A x B A x B S/N 39,0 38,0 37,0 36,0 35,0 C C D D E E F F

10 Aalisis Respose Table da Graph : Faktor maa yag mempuyai delta ( ) yag palig besar. dalam cotoh ii : E, B, C, A, da F Aalisis A x B : A B = A B = A B = A B = 3,6 36,95 37,07 37,0 33,68 39,789 0,005 38,680 = 35,78 = 37,56 = 36,59 = 39,33 B B A 35,78 37,56 A 36,59 39,33 S/N 39,0 38,0 37,0 36,0 35,0 B B A A