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Administração de Produção e Operações Capítulo 6 Qualidade total e melhoramento em produção e operações Juran Qualidade deve ser planejada e seus custos apurados Custos da qualidade Falha externa Falha interna Avaliação Prevenção Papéis Trilogia da qualidade + enfoque estratégico Breakthrough Deming Identificar e reduzir as causas de variações nos processos 14 pontos de Deming Ciclo PDCA Feigenbaum Total quality management Passos: Estabelecimento de padrões Avaliação da conformidade Agir quando necessário Planejar para o melhoramento TQC “O Controle Total da Qualidade é um sistema efetivo para integrar os esforços dos vários grupos dentro de uma organização, no desenvolvimento da qualidade, na manutenção da qualidade e no melhoramento da qualidade, de maneira que habilite marketing, engenharia, produção e serviço com os melhores níveis econômicos que permitam a completa satisfação do cliente”. Ciclo industrial mais estratégia Ishikawa Todos, na organização, podem (e devem) contribuir com a qualidade e devem conhecer técnicas estatísticas básicas Shingo Erros conduzem a defeitos – eliminar os erros ou corrigi-los antes que se tornem defeitos – o Poka Yoke Poka Yoke Sistemas à prova de erros Detecção Minimização Facilitação Prevenção Substituição Eliminação Taguchi A qualidade é definida pelas perdas que o produto impõe à sociedade Curva de perda Função de perdas Conformidade vs. curvas de perda Experimento P1 P2 P3 P4 P5 P6 P7 1 1 1 1 1 1 1 1 2 1 1 1 2 2 2 2 3 1 2 2 1 1 2 2 4 1 2 2 2 2 1 1 5 2 1 2 1 2 1 2 6 2 1 2 2 1 2 1 7 2 2 1 1 2 2 1 8 2 2 1 2 1 1 2 Matriz ortogonal – projeto de experimentos Garvin A qualidade considerada como critério competitivo. Ser melhor que a concorrência nos aspectos da qualidade que o cliente considera importantes. Oito dimensões da qualidade Desempenho Características Confiabilidade Conformidade Durabilidade Manutenibilidade Estética Qualidade percebida Planejamento e controle da qualidade Controlar ou não O que controlar (será controlado o produto ou o processo?) O que controlar (que características do produto ou processo serão controladas?) Como controlar Quem deve controlar Quando controlar Papéis de cada elo na cadeia FMECA Autocontrole O funcionário deve saber o que deve ser feito, o que se espera do seu trabalho - devem existir procedimentos explícitos, claros, à prova de má-interpretação e, quando aplicável, estar disponíveis no posto de trabalho; O funcionário deve saber o que (e como) o trabalho está sendo feito - instrumentos de verificação ou outras formas de permitir que o funcionário avalie continuamente o resultado do seu trabalho deverão ser providos e estar presentes; O funcionário deverá saber que conduta seguir no caso de constatar que o resultado do trabalho executado não corresponde ao que é dele esperado – receber feedback, ter acesso e domínio de mecanismos que permitam que mude a forma como está fazendo e corrija as discrepâncias verificadas. As 7 ferramentas da qualidade – diagrama de processo As 7 ferramentas da qualidade – diagrama de processo As 7 ferramentas da qualidade: Pareto As 7 ferramentas da qualidade – Pareto As 7 ferramentas da qualidade – diagrama causa – efeito (Ishikawa) As 7 ferramentas da qualidade – diagrama de correlação As 7 ferramentas da qualidade – diagrama de correlação As 7 ferramentas da qualidade – diagrama de correlaçãoAs 7 ferramentas da qualidade – diagrama de correlação As 7 ferramentas da qualidade: histograma As 7 ferramentas da qualidade – histograma As 7 ferramentas da qualidade – cartas de controle de processo Melhoramento Unidade 1 Unidade 2 Unidade 3 Unidade 4 Unidade 5 Giro de estoques Tempo de entrega Pedido completo Rastreabilidade . . . . . . . . . Imdicador n Função Logística Confiabilidade 16 11 24 8,5 4 4d 4d 6d 3d 5d 98% 92% 89% 95% 97% 89% 91% 92% 88% 100% Excelente Boa Excelente Pobre Muito boa A B C D E Benchmark interno (desempenho Classe Empresa) Pior desempenho comparativo interno Benchmarking interno Unidade 1 Unidade 2 Unidade 3 Unidade 4 Unidade 5 Giro de estoques Tempo de entrega Pedido completo Rastreabilidade . . . . . . Imdicador n Função Logística Confiabilidade 16 11 24 8,5 4 4d 4d 6d 3d 5d 98% 92% 89% 95% 97% 89% 91% 92% 88% 100% Excelente Boa Boa Pobre Muito boa A B C D E Benchmark interno (desempenho Classe Empresa) Pior desempenho comparativo interno Benchmark externo (desempenho Classe Mundial) Concorrente 1 Concorrente 2 28 5d 100% 94% Muito boa F 14 7d 97% 99% Muito boa G Benchmarking competitivo FORNECEDOR QUANTIDADE DE DEFEITUOSOS FORNECEDOR QUANTIDADE DE DEFEITUOSOS PARTICIPAÇÃO INDIVIDUAL (%) PARTICIPAÇÀO AC UMULADA (%) A 1 O 58 37,91 37,91 B 3 D 39 25,49 63,40 C 2 G 18 11,76 75,16 D 39 K 12 7,84 83,01 E 3 M 6 3,92 86,93 F 4 F 4 2,61 89,54 G 18 B 3 1,96 91,50 H 1 E 3 1,96 93,46 I 2 L 2 1,31 94,77 J 1 C 2 1,31 96,08 K 12 I 2 1,31 97,39 L 2 A 1 0,65 98,04 M 6 J 1 0,65 98,69 N 1 H 1 0,65 99,35 O 58 N 1 0,65 100,00 TOTAL 153 Figura 6.14 - A Figura 6.14 - B 0 10 20 30 40 O D G K M F B E L C I A J H N Fornecedor Participação individual (%) 0 20 40 60 80 100 Participação acumulada (%) 0 20 40 60 80 Pintura danificada Faltando operações Peças misturadas Fora da tolerância Falta trat. Térmico Tipo de defeito Partic. individual (%) 0 20 40 60 80 100 Partic. acumulada (%) TIPO DE DEFEITO QTD. POR TIPO PARTICIP. INDIVID. (%) PARTICIP. ACUM. (%) Pintura danificada 39 67,24 67,24 Faltando operações 14 24,14 91,38 Peças misturadas 3 5,17 96,55 Fora da tolerância 1 1,72 98,28 Falta trat. Térmico 1 1,72 100,00 TOTAL 58 FORNECEDOR O – PARETO DE DEFEITOS A - CORRELAÇÃO TEMPORAL 0 0,2 0,4 0,6 0,8 1 HORA % DEFEITOS Gráf3 0.3333333333 0.4166666667 0.5 0.5833333333 0.6666666667 0.75 0.8333333333 0.9166666667 0.3333333333 0.4166666667 0.5 0.5833333333 0.6666666667 0.75 0.8333333333 0.9166666667 0.3333333333 0.4166666667 0.5 0.5833333333 0.6666666667 0.75 0.8333333333 0.9166666667 HORA % DEFEITOS A - CORRELAÇÃO TEMPORAL 0.3 0.2 0.3 0.4 0.6 0.8 0.7 0.9 0.3 0.4 0.5 0.4 0.7 0.9 0.8 0.6 0.3 0.4 0.3 0.5 0.6 0.7 0.9 0.8 Temporal Dia Hora % Defeitos 1/4 8:00 0.3 1/4 10:00 0.2 1/4 12:00 0.3 1/4 14:00 0.4 1/4 16:00 0.6 1/4 18:00 0.8 1/4 20:00 0.7 1/4 22:00 0.9 2/4 8:00 0.3 2/4 10:00 0.4 2/4 12:00 0.5 2/4 14:00 0.4 2/4 16:00 0.7 2/4 18:00 0.9 2/4 20:00 0.8 2/4 22:00 0.6 3/4 8:00 0.3 3/4 10:00 0.4 3/4 12:00 0.3 3/4 14:00 0.5 3/4 16:00 0.6 3/4 18:00 0.7 3/4 20:00 0.9 3/4 22:00 0.8 Temporal HORA % DEFEITOS A - CORRELAÇÃO TEMPORAL Causal Capacitação %Defeitos 1 0.5 2 0.7 3 0.55 4 0.7 5 0.55 110 0.4 112 0.55 114 0.5 116 0.5 116 0.65 120 0.7 122 0.6 124 0.8 126 0.6 Causal %Defeitos CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X CAPACITAÇÃO Extratificação TEMPERATURA % DEFEITOS DEFEITOS X TEMPERATURA Temperatura Máquina A Máquina B Máquina C 20 0.230 0.220 0.220 0.223 22 0.240 0.220 0.230 0.230 24 0.220 0.220 0.230 0.223 26 0.220 0.230 0.240 0.230 28 0.230 0.230 0.220 0.227 30 0.220 0.240 0.230 0.230 32 0.230 0.240 0.230 0.233 34 0.230 0.240 0.220 0.230 36 0.230 0.240 0.230 0.233 TEMPERATURA VARIAÇÃO DIMENSIONAL CONJUNTO DE MÁQUINAS Máquina A Máquina B Máquina C TEMPERATURA VARIAÇÃO DIMENSIONAL CORRELAÇÃO EXTRATIFICADA DEFEITOS X CAPACITAÇÃO 0,0 0,2 0,4 0,6 0,8 0 1 2 3 4 5 CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X TEMPERATURA 0,0 0,2 0,4 0,6 0,8 1,0 105 110 115 120 125 130 TEMPERATURA % DEFEITOS Gráf2 1 2 3 4 5 %Defeitos CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X CAPACITAÇÃO 0.5 0.7 0.55 0.7 0.55 Temporal Dia Hora % Defeitos 1/4 8:00 0.3 1/4 10:00 0.2 1/4 12:00 0.3 1/4 14:00 0.4 1/4 16:00 0.6 1/4 18:00 0.8 1/4 20:00 0.7 1/4 22:00 0.9 2/4 8:00 0.3 2/4 10:00 0.4 2/4 12:00 0.5 2/4 14:00 0.4 2/4 16:00 0.7 2/4 18:00 0.9 2/4 20:00 0.8 2/4 22:00 0.6 3/4 8:00 0.3 3/4 10:00 0.4 3/4 12:00 0.3 3/4 14:00 0.5 3/4 16:00 0.6 3/4 18:00 0.7 3/4 20:00 0.9 3/4 22:00 0.8 Temporal HORA % DEFEITOS A - CORRELAÇÃO TEMPORAL Causal Capacitação %Defeitos 1 0.5 2 0.7 3 0.55 4 0.7 5 0.55 110 0.4 112 0.55 114 0.5 116 0.5 116 0.65 120 0.7 122 0.6 124 0.8 126 0.6 Causal %Defeitos CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X CAPACITAÇÃO Extratificação TEMPERATURA % DEFEITOS DEFEITOS X TEMPERATURA Temperatura Máquina A Máquina B Máquina C 20 0.230 0.220 0.220 0.223 22 0.240 0.220 0.230 0.230 24 0.220 0.220 0.230 0.223 26 0.220 0.230 0.240 0.230 28 0.230 0.230 0.220 0.227 30 0.220 0.240 0.230 0.230 32 0.230 0.240 0.230 0.233 34 0.230 0.240 0.220 0.230 36 0.230 0.240 0.230 0.233 TEMPERATURA VARIAÇÃO DIMENSIONAL CONJUNTO DE MÁQUINAS Máquina A Máquina B Máquina C TEMPERATURA VARIAÇÃO DIMENSIONAL CORRELAÇÃO EXTRATIFICADA Gráf7 110 112 114 116 116 120 122 124 126 TEMPERATURA % DEFEITOS DEFEITOS X TEMPERATURA 0.4 0.55 0.5 0.5 0.65 0.7 0.6 0.8 0.6 Dados TABELA 1 - TEMPOS DE ATENDIMENTO 1 0.3363459479 0.4648813554 0.8111179973 0.2011785929 0.9862875696 0.5415476545 0.7508422871 0.233428171 0.7093942156 0.1719188459 0.6263126095 0.2274653905 0.148927207 0.8254271636 0.7315002525 0.2753064503 0.9959757825 0.6894869525 0.6626871055 0.4613899603 0.5221272184 0.0227391323 0.5323450577 0.3721382969 0.9815406669 0.9222161931 0.2965599206 0.7263073773 0.276079076 0.583932102 0.0085004903 0.694641812 0.288562567 0.1842971038 0.1931830122 0.4616896413 0.4652937708 0.8614501578 0.513327066 0.5964417574 0.5088698483 0.5043789217 6.1656120537 6.66 6.66 2 6.66 7.09 6.98 6.63 5.60 4.92 10.85 3.58 5.78 6.54 2 0.3181994019 0.2476526233 0.4077405201 0.6309746704 0.0135646568 0.42982127030.4860223741 0.4370627954 0.6050407003 0.3160449624 0.0889031716 0.3293754385 0.0075081552 0.9489189241 0.5440806217 0.627113101 0.08909196 0.1834659804 0.0307201601 0.9140196286 0.7980997631 0.3491008184 0.730464176 0.0999995771 0.3071732429 0.9597458569 0.875387849 0.3953925168 0.3612342004 0.8924089314 0.5594423626 0.49477015 0.3489701801 0.447465948 0.7744025922 0.619184528 0.2225765634 0.135756569 0.4765914978 0.8164265369 0.4579978744 0.5131274188 6.2725551424 7.09 7.09 4 3.07 6.33 6.25 7.06 6.16 3.54 8.06 6.36 8.95 2.89 3 0.9055765515 0.8786388707 0.3236756969 0.0303463724 0.2430500109 0.2054837268 0.267008323 0.5000671141 0.3704545616 0.4455762152 0.2153364707 0.0308054212 0.7513686293 0.4026356621 0.4961645032 0.0429128931 0.6588497263 0.7744885812 0.4636834185 0.0461798066 0.7432080611 0.257695276 0.0366323171 0.9773132731 0.4049821971 0.5414845393 0.130987333 0.6379240695 0.2636132978 0.1575251637 0.2659596794 0.201338482 0.556558826 0.1755567729 0.3543932038 0.7069818435 0.4800116319 0.4055640046 0.2554165304 0.6570722811 0.4065630335 0.510920744 6.2455803806 6.98 6.98 6 8.52 4.75 4.51 7.43 7.33 5.31 3.56 9.99 5.61 4.53 4 0.697687171 0.1970337549 0.27983369 0.4579963724 0.1937002064 0.5410541238 0.9038763514 0.1809736189 0.5532381866 0.563557523 0.9097600367 0.9646479123 0.0184733711 0.6383049298 0.0040423899 0.9116377916 0.4060783837 0.3071336558 0.5709607992 0.6173356673 0.0649153051 0.7445388619 0.3274894564 0.4852781025 0.1275721376 0.0972903725 0.7000755904 0.6537005281 0.2042134751 0.7918658866 0.1261994058 0.6156911269 0.9138844496 0.4705065651 0.056302364 0.1568443226 0.5794188084 0.6834442981 0.3177781821 0.1108537063 0.453629722 0.5037849022 6.158350661 6.63 6.63 8 3.32 7.39 5.23 3.50 5.72 4.84 4.94 2.34 6.04 2.14 5 0.1859735749 0.6578057469 0.5215677678 0.5283750545 0.3827373973 0.0753059956 0.7915095583 0.6266992037 0.0242063598 0.9419868258 0.4639430775 0.5962908566 0.3838294333 0.8001918519 0.8955042113 0.9581858 0.5540688839 0.7218362426 0.3650653809 0.5184331131 0.7429305197 0.5319608404 0.5987409586 0.446281812 0.1450023328 0.2792377985 0.605746125 0.2440202447 0.7341500626 0.2990921351 0.5951858636 0.531693127 0.9695273733 0.9396600161 0.6123451733 0.0532744238 0.4194433235 0.5642072458 0.2906883955 0.0620595011 0.5164690902 0.4825780268 5.8991142796 5.60 5.60 10 7.20 7.24 6.66 4.81 8.48 4.31 5.99 10.42 4.49 5.90 6 0.8914214257 0.8611486498 0.5522163454 0.528055407 0.243479004 0.4186254482 0.5318537631 0.5471342144 0.6164467279 0.3346417053 0.7275151282 0.1374015289 0.6317422166 0.5516357928 0.8264478727 0.7558844542 0.7525521877 0.0263627454 0.1198497983 0.2561957771 0.3100542247 0.2538680892 0.4498309153 0.0007461263 0.5390336224 0.0605325497 0.701497477 0.6180489292 0.069860949 0.3157069746 0.7695240696 0.7072141818 0.7618066347 0.9142860685 0.4148053533 0.0147016039 0.5957785287 0.3522577497 0.7346872684 0.5749897818 0.4867460323 0.4686833024 5.7292628508 4.92 4.92 12 0.70 2.83 9.92 9.42 10.67 5.97 6.79 5.69 4.39 7.80 7 0.5197554707 0.7298049353 0.6255967553 0.1970605479 0.5429677085 0.6971918996 0.3329731347 0.3404827869 0.0927768083 0.3723617235 0.1758131486 0.8722595571 0.6724368811 0.2139359901 0.2766858149 0.5427150291 0.2156279274 0.8932018078 0.3462818547 0.045422376 0.304481602 0.5251403247 0.6144561888 0.7855571337 0.167937519 0.5257007821 0.1187082336 0.0448886984 0.0632343441 0.2358200747 0.2002806624 0.1677125849 0.3166236902 0.772588236 0.8003922687 0.8637975071 0.5666439234 0.2212984323 0.5832305014 0.1180816714 0.4175481634 0.5900815279 7.2132550057 10.85 10.85 8 0.3130585709 0.7595516068 0.7676575682 0.3763045692 0.8985012728 0.3923269432 0.2542364594 0.0675946942 0.058818866 0.8714099504 0.3284502349 0.9210840062 0.1773514282 0.9797031797 0.8762544431 0.9062126789 0.1260465119 0.1141202664 0.9864628654 0.2631276747 0.3882198177 0.9181568565 0.4298150495 0.4249283906 0.433051301 0.2081541231 0.4929704042 0.6736670399 0.2953259647 0.6076262296 0.7085281197 0.6659904837 0.9038676953 0.0959629919 0.6638704518 0.0830341876 0.6900838434 0.5247529217 0.8097714061 0.9763067334 0.5358089451 0.4413864777 5.3955819134 3.58 3.58 9 0.4266060022 0.9088748628 0.2713544382 0.1832644051 0.0510494614 0.5680874646 0.3983172758 0.0852929305 0.8731979235 0.8881340122 0.5754607605 0.8114557572 0.518318066 0.6130535828 0.0105641057 0.9614088583 0.2077242036 0.2707306186 0.0567321239 0.3775160168 0.7961282117 0.9864941107 0.5699882019 0.0654581125 0.0754496611 0.2024490841 0.4637817164 0.0115634526 0.7759947609 0.255873485 0.1448232805 0.5207652301 0.6466518451 0.9790975266 0.9281355941 0.430996374 0.0267162297 0.5914184257 0.5316853654 0.8933002476 0.4738478446 0.4862514502 5.9440188195 5.78 5.78 10 0.5673696486 0.3486454115 0.2579136738 0.1815173149 0.8928762926 0.1493967921 0.4372227034 0.1754974994 0.7722690405 0.6655740976 0.8145398176 0.8068754394 0.5350169037 0.6123386991 0.9896908617 0.9652795541 0.221827351 0.7777415479 0.4110689553 0.3195366228 0.3804991127 0.0931128881 0.6730006348 0.7505612931 0.4737865243 0.2687823839 0.9231192817 0.1657921069 0.4556088201 0.745549254 0.2505504045 0.8668499655 0.544838606 0.0712769547 0.2222992644 0.4124022695 0.4140155574 0.2581166707 0.1751501015 0.3604740127 0.4851996083 0.5018809816 6.1350768178 6.54 6.54 11 0.5346514086 0.0228108953 0.2371299314 0.0643836812 0.5234599948 0.1119361322 0.5360809628 0.0624622912 0.6534893462 0.1301960067 0.8663087214 0.2292803377 0.973524036 0.1908847674 0.8906272568 0.0616156509 0.3386347715 0.9434183731 0.5231695334 0.2593148883 0.9428449732 0.891809097 0.6684687425 0.2428468894 0.2106281226 0.7901194299 0.97424773 0.298283333 0.6519400225 0.9142875012 0.4288767024 0.2094209144 0.934126963 0.2722308997 0.7909929973 0.5535537306 0.6625156788 0.7778086061 0.0696472967 0.2174275575 0.4913864044 0.4309985499 5.2685981522 3.07 3.07 12 0.8445619605 0.6543411906 0.4961595053 0.9938281901 0.5979816562 0.9891720963 0.8704852428 0.2468964002 0.9808735748 0.3707054675 0.909723132 0.6022064343 0.4807186811 0.3494938125 0.5900591405 0.1821453759 0.0610639364 0.9202459908 0.9472028573 0.6905888105 0.4840346944 0.9160608786 0.8452153098 0.0708846397 0.3693730246 0.8238017366 0.7681825797 0.5324425484 0.3295947978 0.1618366105 0.6086786477 0.0443258191 0.5351968365 0.3794587369 0.8755823558 0.3056433212 0.9343848781 0.8052145427 0.2233508038 0.739570647 0.5882821716 0.4976785048 6.0837050406 6.33 6.33 13 0.8742184003 0.910236255 0.6415874445 0.241619742 0.1588130418 0.91421043 0.6719596936 0.5274782626 0.5753439162 0.6639277244 0.6455080598 0.7459819609 0.5001651421 0.3331876733 0.4474661614 0.7764981161 0.1993256116 0.7881580357 0.7113956799 0.8282989428 0.9352441738 0.2443578718 0.0499862655 0.1264399916 0.9784848364 0.9109049752 0.2090886231 0.6706948588 0.1055352655 0.6731690955 0.4050135972 0.8498652679 0.7381227139 0.3144998464 0.9143180553 0.7289483396 0.2129705459 0.7950584302 0.4801701728 0.9625937517 0.5865211743 0.4958712598 6.0616129762 6.25 6.25 14 0.857005866 0.865937458 0.5831025003 0.86098206 0.9161379262 0.6019006403 0.4775151035 0.8871582203 0.9922086021 0.6920083709 0.4255373826 0.4139614723 0.7269468278 0.556122676 0.892127852 0.7989617225 0.814403394 0.4670589954 0.1977205571 0.0249186762 0.9376461238 0.8339083509 0.0252414052 0.1071672732 0.7011166623 0.8780675335 0.7125732272 0.3929909011 0.7749667557 0.1598348123 0.9490190491 0.5274080446 0.8857325493 0.9906936549 0.8137119296 0.676187507 0.0488332746 0.8029171648 0.6608026389 0.9540436708 0.6471144708 0.5125359095 6.2653244333 7.06 7.06 15 0.0578163905 0.0260981586 0.5213422271 0.3133396404 0.5199353051 0.4959579194 0.0140533473 0.2292512795 0.6881430261 0.46398625 0.0202883289 0.463005066 0.3840806303 0.2671974104 0.3570946651 0.2380332234 0.9356136153 0.8726430731 0.4389478001 0.117671929 0.8673412238 0.3694858947 0.9322989441 0.3192571401 0.6357001355 0.4223573874 0.1832290089 0.7034232328 0.5308963171 0.1440569091 0.9942309042 0.5530368764 0.5864899652 0.1292753368 0.8244100315 0.7422462523 0.81177113370.6156309768 0.3231497839 0.8653544119 0.4744535288 0.4940167686 6.0389433672 6.16 6.16 16 0.5767941022 0.9062042729 0.0434914266 0.3406275838 0.514827891 0.3360446913 0.5062399317 0.9936964076 0.30374557 0.2965701238 0.8265127816 0.3933548325 0.3491372834 0.0885872482 0.2266918833 0.5523130124 0.4774218451 0.9712681017 0.0353540021 0.4229821056 0.318586175 0.0461514988 0.4651964174 0.905342014 0.5752469539 0.7116613815 0.4377542971 0.3962792972 0.0703045673 0.6724829051 0.6659378129 0.3865878331 0.8904362356 0.1855964981 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0.2322116466 0.7619086064 0.9157505535 0.7975131585 0.5880568636 0.5177848283 0.3761256113 0.1409551415 0.5317721011 0.7451323423 0.156060494 0.8814387386 0.8211790074 0.0103591328 0.948369909 0.152202875 0.995762741 0.5972064854 0.3762199288 0.0672474911 0.6489372698 0.4242536893 0.8068094729 0.8871601784 0.0114389539 0.5532932558 0.1043924538 0.5326738402 0.5153647363 6.2999044835 7.20 7.20 42 0.1603015645 0.5329917193 0.7230025182 0.8190583 0.1828915248 0.388992316 0.5048620405 0.4614266766 0.8827175446 0.3803329694 0.4614192434 0.8097164043 0.4361332878 0.4763460934 0.4063100199 0.5820322695 0.3502455045 0.9724266907 0.4138560901 0.6919881997 0.2274363093 0.8633202975 0.879968994 0.3868171202 0.1422641397 0.3874425746 0.2848520353 0.7431656611 0.8412848068 0.469414142 0.3276150938 0.7191628664 0.1098378774 0.9291209075 0.1077595043 0.517418725 0.7806253332 0.7327240737 0.2944548686 0.0525914636 0.5108581943 0.5162384203 6.3105845432 7.24 7.24 43 0.4554672618 0.3553053426 0.6650968686 0.1276733348 0.0911480548 0.3763736301 0.5767486058 0.4593841013 0.8225860736 0.8291553794 0.3463079545 0.3017480909 0.67932757 0.8873917334 0.2855409512 0.5090089165 0.1878963015 0.5409044883 0.4343062434 0.5329434274 0.2487279738 0.9687572169 0.3759543992 0.4594817435 0.7815297863 0.6153587035 0.6491544718 0.5573943914 0.3816453021 0.3498385999 0.9762170351 0.6388286796 0.1477897777 0.654734264 0.3565336098 0.7279092081 0.0076597259 0.4374952679 0.8523529586 0.1697331203 0.4955352641 0.5043042628 6.1646994117 6.66 6.66 44 0.210395668 0.5071823959 0.2496373739 0.8999756483 0.8721689621 0.7827036043 0.14342488040.7870771851 0.096362303 0.5855049377 0.4553198365 0.9074413578 0.1929021583 0.7034233611 0.5321560523 0.5159165138 0.0274091492 0.3965816698 0.0399058667 0.1268439325 0.9455880206 0.8312770724 0.1834547238 0.9201697377 0.1983210208 0.9220727669 0.8879704523 0.9691391349 0.1267707567 0.2269280671 0.8718738143 0.8840572367 0.5374487125 0.4951324353 0.9069739147 0.6021436813 0.8644209334 0.6893135837 0.9600327359 0.6928259994 0.5687061914 0.4665239993 5.70286717 4.81 4.81 45 0.6307197093 0.5095924078 0.9183639339 0.4635214054 0.4550497884 0.2552988684 0.5015139311 0.5796438437 0.8935158864 0.4308476185 0.5657879094 0.8143856808 0.2930981257 0.7280195513 0.0913403832 0.2652303569 0.0386617653 0.9085235953 0.8215568237 0.7208925611 0.0971692331 0.5103651258 0.507227897 0.696503418 0.5713951025 0.8826281619 0.5025050897 0.313812732 0.1661679987 0.1472427231 0.2821108655 0.8221366246 0.4151176109 0.0813841154 0.4847245859 0.6914850539 0.2860417707 0.4275568357 0.2470099369 0.0959168179 0.4778516461 0.5415483093 6.619976847 8.48 8.48 46 0.5148036252 0.0977299966 0.0176238858 0.2955095064 0.4101893343 0.680778786 0.1397838202 0.02822471 0.4062039248 0.5400729293 0.2675658589 0.9756270696 0.8447777802 0.7739058651 0.7408280039 0.8831537654 0.6644566768 0.8403502017 0.2906580545 0.7640798632 0.2396630329 0.9419733044 0.3311496003 0.4315514187 0.4778102375 0.7856695876 0.2723464152 0.9254702031 0.2541917735 0.628734877 0.0165543156 0.7912600334 0.1761150967 0.8376917032 0.1815444062 0.1589400397 0.1614566668 0.8772514354 0.6976737794 0.0655146515 0.4857221559 0.4561853526 5.5764858278 4.31 4.31 47 0.5113643609 0.320715416 0.9574277426 0.1091871211 0.5380432891 0.3344693818 0.0351255307 0.1791641734 0.7826743384 0.8560046525 0.03301895 0.4904350697 0.7741461881 0.1010406096 0.5311537584 0.6723877722 0.7316377258 0.6254317797 0.5768355272 0.3130398393 0.5755886008 0.0669755112 0.9778228744 0.4097766196 0.6275079655 0.9670560894 0.6691809476 0.2374132005 0.8463689002 0.4002956086 0.5144992865 0.1088199628 0.9321813494 0.1643599244 0.3901447777 0.8231884125 0.7447261007 0.1663622182 0.0546723305 0.1482846428 0.4824632137 0.4907079135 5.9984953704 5.99 5.99 48 0.8539883293 0.2307094421 0.0087574323 0.2180692496 0.8694275101 0.8589033052 0.5006874108 0.4623882988 0.3268099651 0.811994271 0.8070623928 0.3710865788 0.65261743 0.5671069057 0.7682474147 0.1691864959 0.7919032024 0.4926781335 0.8032759399 0.1843332354 0.5480322206 0.4357657154 0.8664177267 0.2998204527 0.7479930039 0.2506185554 0.5361595827 0.8345882896 0.702918809 0.5769500946 0.4382062379 0.8347899048 0.6829819341 0.7769019977 0.1658459827 0.9847229227 0.1751508616 0.3679391358 0.7415795469 0.2640566172 0.5495168134 0.5811929967 7.1046001179 10.42 10.42 49 0.8660225527 0.4188166157 0.4093102306 0.0471013156 0.7933474546 0.6766782195 0.8681207454 0.025167674 0.3830531997 0.1768013174 0.5770650517 0.5671996771 0.6793555802 0.1624800362 0.9277621405 0.7633086298 0.6653805501 0.9137098136 0.7554062236 0.0558487046 0.7014546718 0.1976587883 0.4182865391 0.2034272381 0.0702320817 0.9606013677 0.2773588244 0.152341168 0.3539378131 0.2345892917 0.1127612099 0.6391697218 0.4971645511 0.8643834862 0.3215448982 0.1037720219 0.3563543191 0.9670946349 0.047736234 0.0288812403 0.4560171458 0.4600392633 5.623596675 4.49 4.49 50 0.0207248906 0.7504771374 0.6472930055 0.2759340787 0.1599137427 0.7241942602 0.5231559738 0.1261455004 0.0862864257 0.6303139149 0.5242855314 0.2195309827 0.2251084696 0.0016067502 0.9912208503 0.9912973547 0.7426473069 0.7505283366 0.1501211898 0.5515318856 0.8059758155 0.6998106771 0.0519864045 0.7698053496 0.4696658394 0.7995359347 0.4537420085 0.4115924062 0.460348163 0.2906360814 0.5482823135 0.8919277748 0.83400378 0.9624506384 0.4390464869 0.0868749119 0.4098366536 0.2171016379 0.3665123293 0.7289130125 0.4947591452 0.4888312006 5.9755541188 5.90 5.90 51 0.5451525716 0.1547330281 0.8443963249 0.0276340885 0.6057101659 0.8908658603 0.4049406765 0.1337108956 0.3860327268 0.4387365136 0.0426272436 0.853486466 0.3019092739 0.2623062862 0.3213634052 0.3213297212 0.990518671 0.0951945127 0.116636087 0.6943378135 0.3029935406 0.9108892533 0.0546838389 0.261308511 0.5222135136 0.8702439089 0.8767564614 0.8365342236 0.8139369614 0.8862249199 0.8262651504 0.9613692904 0.8191277759 0.8652144708 0.4826445942 0.2638863227 0.8389023664 0.0714671837 0.0905378909 0.3839537112 0.5092694055 0.3825196758 4.6759843099 0.70 0.70 52 0.6615169863 0.9696490193 0.1343455363 0.6188394356 0.8334237898 0.2663665507 0.1972214225 0.122917298 0.3821103407 0.9169832186 0.9035166917 0.6487557531 0.6415777099 0.1460161817 0.2362476293 0.3992947251 0.6848221077 0.8492462732 0.658975695 0.0116273753 0.4037796894 0.7316561745 0.8066169077 0.9959773807 0.7051829483 0.8130620695 0.2939111244 0.7124794489 0.471994489 0.6692037387 0.4612449536 0.0980162674 0.829088784 0.6922747929 0.0420680258 0.361408599 0.6051778335 0.6628299697 0.8644598707 0.071717119 0.5393900982 0.4260574905 5.2081978177 2.83 2.83 53 0.6349476653 0.032348123 0.9022429545 0.1393832778 0.0944987549 0.2835987968 0.435110249 0.4290819899 0.2255496714 0.3346498119 0.8071296152 0.0312774104 0.3867744316 0.72301938 0.9846578687 0.536255687 0.7784294356 0.1668141056 0.4926580581 0.6061157474 0.8740825091 0.5756492309 0.6624236461 0.8739549786 0.3231716525 0.0801262285 0.1310172227 0.9314715564 0.1934822187 0.4001969425 0.5454989445 0.5564608267 0.2131061232 0.1265633883 0.1903630766 0.7671018517 0.9186127025 0.9066778242 0.6942383936 0.3265909979 0.4828833337 0.5710037775 6.9800454025 9.92 9.92 54 0.5223054575 0.7732250605 0.0546461336 0.8910049559 0.7709993216 0.1956647784 0.8351160183 0.8857424486 0.087914957 0.6241196193 0.6901081792 0.7637544886 0.0441600186 0.9068699405 0.5810121843 0.3319893889 0.6791156456 0.8060829021 0.7515089136 0.7803673719 0.1992865494 0.4045285677 0.0863905881 0.6532925594 0.1975532445 0.3817414756 0.2943586681 0.1078066262 0.980203293 0.7878677391 0.8603927723 0.1287433037 0.5993124911 0.0593016545 0.6128755312 0.2619189915 0.5177424667 0.9600923201 0.2780028365 0.4771839549 0.5206075854 0.5606832635 6.8538857185 9.42 9.42 55 0.1344012799 0.1662972712 0.4168279415 0.8785404052 0.3566460018 0.8317105337 0.4404789485 0.1550805823 0.2577260455 0.3388194554 0.7571987981 0.6607230578 0.1724773912 0.1117861755 0.0633569602 0.440033265 0.7780227413 0.1726694451 0.997947016 0.0489712708 0.1581772608 0.6702050496 0.2951195595 0.580520574 0.5038843108 0.8591437067 0.8616702743 0.6750910109 0.2801449047 0.5144358467 0.4857772988 0.0301783915 0.5933098226 0.1070947431 0.988799316 0.2094091948 0.8190296097 0.9011234357 0.1445889555 0.2194594215 0.4519219318 0.5862706816 7.1666705846 10.67 10.67 56 0.6487560631 0.6446230512 0.054312739 0.6167368498 0.1839293196 0.5811749735 0.9307421194 0.0296819545 0.7178025 0.7496799056 0.8176801381 0.6479628881 0.8548512674 0.7056237785 0.1424559656 0.2713646987 0.2840331214 0.7006126599 0.9282601394 0.6541563758 0.681093935 0.2348622231 0.7932199682 0.4246343704 0.5454786042 0.3566992757 0.3549135589 0.8173893036 0.791677201 0.2731180626 0.5038194582 0.2222262518 0.6953459233 0.2036400193 0.1599566886 0.1459655381 0.7388764793 0.7172298752 0.1259310052 0.9797294648 0.5232561929 0.490296197 5.9934624784 5.97 5.97 57 0.501859154 0.9700784478 0.3517630235 0.8759805818 0.2166207698 0.643906793 0.0199406036 0.047994838 0.5686307595 0.7340163488 0.9858888832 0.6260492461 0.6409727069 0.2042812665 0.4576453352 0.7461640938 0.2888923533 0.4231284085 0.7554266235 0.2561960704 0.312934301 0.5390971894 0.684824532 0.8730556541 0.4909059352 0.3985168283 0.0450975017 0.1138910042 0.7348796021 0.4638996272 0.1695655756 0.5148448224 0.5023282284 0.5768586063 0.5396998571 0.603623306 0.3958151633 0.5120457983 0.013111708 0.9814109998 0.4945460637 0.5069635828 6.1972073823 6.79 6.79 58 0.727229502 0.3322657153 0.3929169128 0.0483271645 0.8324091956 0.3020368915 0.5156384879 0.2969162404 0.2257238788 0.0455406758 0.466304006 0.7829701937 0.761599038 0.87547967290.2971940728 0.9543154933 0.543786382 0.7373843149 0.062683636 0.8273156839 0.2786586312 0.9177442406 0.377513809 0.7744447011 0.0327367364 0.7188148814 0.6922774875 0.0685321066 0.2651463303 0.2134371399 0.3774776085 0.4189197006 0.4217061429 0.787356066 0.8352516307 0.2175922547 0.1848608287 0.7295259891 0.8860662767 0.268230377 0.4873582524 0.4844388087 5.9218607878 5.69 5.69 59 0.6303202493 0.5864950523 0.1792356047 0.4842005945 0.5453655716 0.246606024 0.1290891705 0.9960705293 0.6199950934 0.1831392706 0.8221034914 0.0897157317 0.3095279125 0.0849555456 0.5597399927 0.417795693 0.3828281008 0.9661048166 0.3267312698 0.0391273475 0.4810071411 0.1824593364 0.1444700821 0.0520033518 0.9362454631 0.0780202848 0.4485440809 0.3627456917 0.7367654969 0.9852717703 0.5653828855 0.836645338 0.9051910848 0.0929708585 0.2781280914 0.7073123704 0.7261171349 0.4077084176 0.3156966484 0.6681107731 0.4627485841 0.4578247659 5.5965262903 4.39 4.39 60 0.2181204311 0.3720804533 0.4134589515 0.7916901047 0.3998453423 0.0924334225 0.9999697532 0.9142730147 0.2866046365 0.9554621391 0.8049946617 0.0638992754 0.7661103225 0.1808046147 0.8934478059 0.7622285902 0.0583110054 0.8837114218 0.1412006922 0.9433253553 0.609641762 0.5030718302 0.8797717818 0.4499959181 0.621238589 0.3955099111 0.5141636359 0.8123951984 0.7445702871 0.6361169625 0.5160156852 0.0013713307 0.6791661548 0.3021331517 0.4610096583 0.787181639 0.1222038529 0.3753665143 0.68586419 0.0835372155 0.5280574316 0.5276716104 6.4503457657 7.80 7.80 0.5317936537 0.4908307157 5.9999965243 6.00 Histograma TABELA 2 - QUANTIDADES BRUTAS TABELA 2 - QUANTIDADES PERCENTUAIS Bloco Freqüência INTERVALO DE CLASSE FREQÜÊNCIA INTERVALO DE CLASSE FREQÜÊNCIA % FREQÜÊNCIA 2 1 0 a 2 minutos 1 0 a 2 minutos 1 1.67% 4 10 2 a 4 minutos 10 2 a 4 minutos 10 16.67% 6 20 4 a 6 minutos 20 4 a 6 minutos 20 33.33% 8 19 6 a 8 minutos 19 6 a 8 minutos 19 31.67% 10 7 8 a 10 minutos 7 8 a 10 minutos 7 11.67% 12 3 10 a 12 minutos 3 10 a 12 minutos 3 5.00% TOTAL 60 100.00% Bloco Freqüência %Frequencia 2 1 1.67 4 10 16.67 6 20 33.33 8 19 31.67 10 7 11.67 12 3 5.00 Total 60 Histograma Freqüência Intervalos de classes (minutos) Freqüência HISTOGRAMA A QUANTIDADES BRUTAS Plan2 Freqüência Intervalos de classes (minutos) Freqüência (%) HISTOGRAMA B QUANTIDADES PERCENTUAIS Plan3 CONJUNTO DE MÁQUINAS 0.21 0.22 0.23 0.24 0.25 20 25 30 35 40 TEMPERATURA VARIAÇÃO DIMENSIONAL Gráf4 20 20 20 22 22 22 24 24 24 26 26 26 28 28 28 30 30 30 32 32 32 34 34 34 36 36 36 TEMPERATURA VARIAÇÃO DIMENSIONAL CONJUNTO DE MÁQUINAS 0.23 0.22 0.22 0.24 0.22 0.23 0.22 0.22 0.23 0.22 0.23 0.24 0.23 0.23 0.22 0.22 0.24 0.23 0.23 0.24 0.23 0.23 0.24 0.22 0.23 0.24 0.23 Temporal Dia Hora % Defeitos 1/4 8:00 0.3 1/4 10:00 0.2 1/4 12:00 0.3 1/4 14:00 0.4 1/4 16:00 0.6 1/4 18:00 0.8 1/4 20:00 0.7 1/4 22:00 0.9 2/4 8:00 0.3 2/4 10:00 0.4 2/4 12:00 0.5 2/4 14:00 0.4 2/4 16:00 0.7 2/4 18:00 0.9 2/4 20:00 0.8 2/4 22:00 0.6 3/4 8:00 0.3 3/4 10:00 0.4 3/4 12:00 0.3 3/4 14:00 0.5 3/4 16:00 0.6 3/4 18:00 0.7 3/4 20:00 0.9 3/4 22:00 0.8 Temporal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 HORA % DEFEITOS A - CORRELAÇÃO TEMPORAL 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Causal Capacitação %Defeitos 1 0.5 2 0.7 3 0.55 4 0.7 5 0.55 110 0.4 112 0.55 114 0.5 116 0.5 116 0.65 120 0.7 122 0.6 124 0.8 126 0.6 Causal 0 0 0 0 0 %Defeitos CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X CAPACITAÇÃO 0 0 0 0 0 Extratificação 0 0 0 0 0 0 0 0 0 TEMPERATURA % DEFEITOS DEFEITOS X TEMPERATURA 0 0 0 0 0 0 0 0 0 Temperatura Máquina A Máquina B Máquina C 20 0.230 0.220 0.220 0.223 22 0.240 0.220 0.230 0.230 24 0.220 0.220 0.230 0.223 26 0.220 0.230 0.240 0.230 28 0.230 0.230 0.220 0.227 30 0.220 0.240 0.230 0.230 32 0.230 0.240 0.230 0.233 34 0.230 0.240 0.220 0.230 36 0.230 0.240 0.230 0.233 TEMPERATURA VARIAÇÃO DIMENSIONAL CONJUNTO DE MÁQUINAS Máquina A Máquina B Máquina C TEMPERATURA VARIAÇÃO DIMENSIONAL CORRELAÇÃO EXTRATIFICADA CORRELAÇÃO EXTRATIFICADA 0.21 0.22 0.23 0.24 0.25 20 25 30 35 40 TEMPERATURA VARIAÇÃO DIMENSIONAL Máquina A Máquina B Máquina C Gráf1 20 20 20 22 22 22 24 24 24 26 26 26 28 28 28 30 30 30 32 32 32 34 34 34 36 36 36 Máquina A Máquina B Máquina C TEMPERATURA VARIAÇÃO DIMENSIONAL CORRELAÇÃO EXTRATIFICADA 0.23 0.22 0.22 0.24 0.22 0.23 0.22 0.22 0.23 0.22 0.23 0.24 0.23 0.23 0.22 0.22 0.24 0.23 0.23 0.24 0.23 0.23 0.24 0.22 0.23 0.24 0.23 Temporal Dia Hora % Defeitos 1/4 8:00 0.3 1/4 10:00 0.2 1/4 12:00 0.3 1/4 14:00 0.4 1/4 16:00 0.6 1/4 18:00 0.8 1/4 20:00 0.7 1/4 22:00 0.9 2/4 8:00 0.3 2/4 10:00 0.4 2/4 12:00 0.5 2/4 14:00 0.4 2/4 16:00 0.7 2/4 18:00 0.9 2/4 20:00 0.8 2/4 22:00 0.6 3/4 8:00 0.3 3/4 10:00 0.4 3/4 12:00 0.3 3/4 14:00 0.5 3/4 16:00 0.6 3/4 18:00 0.7 3/4 20:00 0.9 3/4 22:00 0.8 Temporal 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 HORA % DEFEITOS A - CORRELAÇÃO TEMPORAL 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Causal Capacitação %Defeitos 1 0.5 2 0.7 3 0.55 4 0.7 5 0.55 110 0.4 112 0.55 114 0.5 116 0.5 116 0.65 120 0.7 122 0.6 124 0.8 126 0.6 Causal 0 0 0 0 0 %Defeitos CAPACITAÇÃO (ANOS) % DEF. POR OPERADOR DEFEITOS X CAPACITAÇÃO 0 0 0 0 0 Extratificação 0 0 0 0 0 0 0 0 0 TEMPERATURA % DEFEITOS DEFEITOS X TEMPERATURA 0 0 0 0 0 0 0 0 0 Temperatura Máquina A Máquina B Máquina C 20 0.230 0.220 0.220 0.223 22 0.240 0.220 0.230 0.230 24 0.220 0.220 0.230 0.223 26 0.220 0.230 0.240 0.230 28 0.230 0.230 0.220 0.227 30 0.220 0.240 0.230 0.230 32 0.230 0.240 0.230 0.233 34 0.230 0.240 0.220 0.230 36 0.230 0.240 0.230 0.233 TEMPERATURA VARIAÇÃO DIMENSIONAL CONJUNTO DE MÁQUINAS Máquina A Máquina B Máquina C TEMPERATURA VARIAÇÃO DIMENSIONAL CORRELAÇÃO EXTRATIFICADA TABELA 1 - TEMPOS DE ATENDIMENTO 6,66 7,09 6,98 6,63 5,60 4,92 10,85 3,58 5,78 6,54 3,07 6,33 6,25 7,06 6,16 3,54 8,06 6,36 8,95 2,89 8,52 4,75 4,51 7,43 7,33 5,31 3,56 9,99 5,61 4,53 3,32 7,39 5,23 3,50 5,72 4,84 4,94 2,34 6,04 2, 14 7,20 7,24 6,66 4,81 8,48 4,31 5,99 10,42 4,49 5,90 0,70 2,83 9,92 9,42 10,67 5,97 6,79 5,69 4,39 7,80 TABELA 2 - QUANTIDADES BRUTAS TABELA 3 - QUANTIDADES PERCENTUAIS INTERVALO DE CLASSE FREQÜÊNCIA INTERVALO DE CLASSE FREQÜÊNCIA % FREQÜÊNCI A 0 a 2 minutos 1 0 a 2 minutos 1 1,67% 2 a 4 minutos 10 2 a 4 minutos 10 16,67% 4 a 6 minutos 20 4 a 6 minutos 20 33,33% 6 a 8 minutos 19 6 a 8 minutos 19 31,67% 8 a 10 minutos 7 8 a 10 minutos 7 11,67% 10 a 12 minutos 3 10 a 12 minutos 3 5,00 % TOTAL 60 100,00% HISTOGRAMA A QUANTIDADES BRUTAS 0 5 10 15 20 25 2 4 6 8 10 12 Intervalos de classes (minutos) HISTOGRAMA B QUANTIDADES PERCENTUAIS 0 10 20 30 40 2 4 6 8 10 12 Intervalos de classes (minutos) trempo Desempenho Melhoramento contínuo (“ kaizen ”) Melhoramentos radicais (“ re - engenharia ”)
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