{"id":4838,"date":"2026-10-26T00:00:00","date_gmt":"2026-10-25T23:00:00","guid":{"rendered":"https:\/\/ellistat.com\/?p=4838"},"modified":"2026-10-26T00:00:00","modified_gmt":"2026-10-25T23:00:00","slug":"a-folyamatuk-kepes-e-betartani-a-tureshatart","status":"publish","type":"post","link":"https:\/\/ellistat.com\/hu\/votre-process-peut-il-tenir-la-tolerance\/","title":{"rendered":"A folyamatuk k\u00e9pes-e betartani a t\u0171r\u00e9shat\u00e1rt?\u00a0"},"content":{"rendered":"<h1>A folyamatuk k\u00e9pes-e betartani a t\u0171r\u00e9shat\u00e1rt?<\/h1>\n<p>A sorozatgy\u00e1rt\u00e1s megkezd\u00e9se el\u0151tt minden min\u0151s\u00e9gbiztos\u00edt\u00e1si csapatnak meg kell v\u00e1laszolnia egy alapvet\u0151 k\u00e9rd\u00e9st: fizikailag k\u00e9pes-e a folyamatom a specifik\u00e1ci\u00f3knak megfelel\u0151en gy\u00e1rtani? Ez nem a be\u00e1ll\u00edt\u00e1sok vagy a k\u00f6zpontos\u00edt\u00e1s k\u00e9rd\u00e9se \u2014 hanem a nyers potenci\u00e1l\u00e9. Pontosan erre ad v\u00e1laszt a Cp-index, amely a statisztikai folyamatir\u00e1ny\u00edt\u00e1s (SPC) egyik leggyakrabban haszn\u00e1lt mutat\u00f3ja. De mint minden \u00f6sszefoglal\u00f3 mutat\u00f3, ennek is vannak pontos korl\u00e1tai, amelyeket ismerni kell, hogy ne vonjunk le t\u00e9ves k\u00f6vetkeztet\u00e9seket.<\/p>\n<h2>Mit m\u00e9r val\u00f3j\u00e1ban a Cp?<\/h2>\n<p>A Cp, vagyis a folyamatk\u00e9pess\u00e9gi index (<em>A folyamat k\u00e9pess\u00e9gei<\/em>), \u00f6sszehasonl\u00edtja a tervez\u0151iroda \u00e1ltal meghat\u00e1rozott t\u0171r\u00e9shat\u00e1rt a gy\u00e1rt\u00e1si folyamat sor\u00e1n m\u00e9rt t\u00e9nyleges sz\u00f3r\u00e1ssal. A k\u00e9plet egyszer\u0171:<\/p>\n<p><strong>Cp = (LSS \u2212 LSI) \/ (6\u03c3)<\/strong><\/p>\n<p>ahol LSS a specifik\u00e1ci\u00f3 fels\u0151 hat\u00e1ra, LSI az als\u00f3 hat\u00e1ra, a 6\u03c3 pedig a folyamat term\u00e9szetes sz\u00f3r\u00f3d\u00e1s\u00e1nak m\u00e9rt\u00e9k\u00e9t jelenti (vagyis \u00b13 sz\u00f3r\u00e1s az \u00e1tlag k\u00f6r\u00fcl).<\/p>\n<p>Konkr\u00e9tan: ha a t\u0171r\u00e9shat\u00e1r k\u00e9tszer akkora, mint a folyamat sz\u00f3r\u00e1sa, akkor a Cp \u00e9rt\u00e9ke 2,0. Ha ezek megegyeznek, akkor a Cp \u00e9rt\u00e9ke 1,0 \u2014 \u00e9s statisztikailag a termel\u00e9s k\u00f6r\u00fclbel\u00fcl 0,27 %-je nem fog megfelelni a t\u0171r\u00e9shat\u00e1rnak, m\u00e9g a legjobb k\u00f6r\u00fclm\u00e9nyek k\u00f6z\u00f6tt sem.<\/p>\n<p>A leggyakrabban alkalmazott ipari m\u00e9rt\u00e9kegys\u00e9g a <strong>Cp \u2265 1,33<\/strong>, ami legal\u00e1bb 1,33-szor nagyobb t\u0171r\u00e9shat\u00e1rt jelent, mint a gy\u00e1rt\u00e1si folyamat elt\u00e9r\u00e9se. Az olyan szigor\u00fa k\u00f6vetelm\u00e9nyeket t\u00e1maszt\u00f3 \u00e1gazatokban, mint az aut\u00f3ipar vagy a rep\u00fcl\u0151g\u00e9pipar, gyakran 1,67-es, s\u0151t ak\u00e1r 2,0-s k\u00fcsz\u00f6b\u00e9rt\u00e9ket is el\u0151\u00edrnak.<\/p>\n<h2>A sz\u00e1m\u00edt\u00e1si felt\u00e9telek: egy gyakran al\u00e1becs\u00fclt korl\u00e1t<\/h2>\n<p>A Cp-t a k\u00f6vetkez\u0151k\u00e9ppen sz\u00e1m\u00edtj\u00e1k ki: <strong>r\u00f6vid t\u00e1v\u00fa felt\u00e9telek<\/strong>, azaz egy kezdeti k\u00e9pess\u00e9gi vizsg\u00e1lat sor\u00e1n vett mint\u00e1n, sz\u00e1nd\u00e9kosan stabiliz\u00e1lt k\u00f6r\u00fclm\u00e9nyek k\u00f6z\u00f6tt: ugyanaz a kezel\u0151, ugyanaz az anyag-t\u00e9tel, ugyanazok a be\u00e1ll\u00edt\u00e1sok. A c\u00e9l a folyamat bels\u0151 potenci\u00e1lj\u00e1nak \u00e9rt\u00e9kel\u00e9se, a t\u00e9nyleges gy\u00e1rt\u00e1si k\u00f6rnyezethez kapcsol\u00f3d\u00f3 vari\u00e1ci\u00f3s forr\u00e1sok kik\u00fcsz\u00f6b\u00f6l\u00e9s\u00e9vel.<\/p>\n<p>Ez egyszerre jelent er\u0151ss\u00e9get \u00e9s gyenges\u00e9get is. Ide\u00e1lis k\u00f6r\u00fclm\u00e9nyek k\u00f6z\u00f6tt a Cp a folyamat teljes\u00edtm\u00e9ny\u00e9nek fels\u0151 hat\u00e1r\u00e1t jelzi. De nem t\u00fckr\u00f6zi azt, ami a hossz\u00fa t\u00e1v\u00fa gy\u00e1rt\u00e1s sor\u00e1n bek\u00f6vetkezik, p\u00e9ld\u00e1ul a szersz\u00e1mcser\u00e9k, az alapanyag-t\u00e9telek k\u00f6z\u00f6tti elt\u00e9r\u00e9sek, a m\u0171szakv\u00e1lt\u00e1sok vagy a h\u0151m\u00e9rs\u00e9kleti elt\u00e9r\u00e9sek miatt. Ezeket a val\u00f3s elt\u00e9r\u00e9si forr\u00e1sokat a sz\u00e1m\u00edt\u00e1s egyszer\u0171en nem veszi figyelembe.<\/p>\n<h2>A k\u00f6z\u00e9ppontba \u00e1ll\u00edt\u00e1s csapd\u00e1ja: amikor egy j\u00f3 Cp rossz alkatr\u00e9szeket rejt el<\/h2>\n<p>Ez az a szempont, amelyet a gyakorlatban leggyakrabban f\u00e9lre\u00e9rtenek. A magas Cp-\u00e9rt\u00e9k csup\u00e1n azt jelenti, hogy <strong>a folyamat sz\u00f3r\u00e1sa a t\u0171r\u00e9shat\u00e1rhoz k\u00e9pest kicsi<\/strong>. Egy\u00e1ltal\u00e1n nem tesz eml\u00edt\u00e9st arr\u00f3l, hogy ez a sz\u00f3r\u00e1s milyen poz\u00edci\u00f3ban van a n\u00e9vleges c\u00e9lponttal szemben.<\/p>\n<p>K\u00e9pzelj\u00fcnk el egy 10 \u00b1 0,5 mm-es t\u0171r\u00e9shat\u00e1rt \u00e9s egy olyan gy\u00e1rt\u00e1si folyamatot, amelynek term\u00e9szetes elt\u00e9r\u00e9se 0,6 mm. A Cp-\u00e9rt\u00e9k meghaladja az 1,33-at \u2013 ami els\u0151 r\u00e1n\u00e9z\u00e9sre kiel\u00e9g\u00edt\u0151nek t\u0171nik. De ha a folyamat k\u00f6z\u00e9ppontja 10,0 mm helyett 10,4 mm-re van be\u00e1ll\u00edtva, akkor a darabok jelent\u0151s r\u00e9sze t\u00fall\u00e9pi a specifik\u00e1ci\u00f3 fels\u0151 hat\u00e1r\u00e1t, a j\u00f3 Cp-\u00e9rt\u00e9k ellen\u00e9re is.<\/p>\n<p>Pontosan ennek a val\u00f3s\u00e1gnak a kezel\u00e9s\u00e9re szolg\u00e1l az index <strong>Cpk<\/strong>, amely egyszerre figyelembe veszi a sz\u00f3r\u00e1st \u00e9s a c\u00e9l\u00e9rt\u00e9khez viszony\u00edtott elt\u00e9r\u00e9st. Egy j\u00f3l szab\u00e1lyozott folyamatnak mind a Cp, mind a Cpk \u00e9rt\u00e9ke kiel\u00e9g\u00edt\u0151nek kell lennie. A k\u00e9t \u00e9rt\u00e9k k\u00f6z\u00f6tti jelent\u0151s elt\u00e9r\u00e9s riaszt\u00f3 jel: a folyamatban van potenci\u00e1l, de rosszul van be\u00e1ll\u00edtva.<\/p>\n<h2>Hogyan kell a Cp-t szigor\u00faan alkalmazni?<\/h2>\n<p>Ahhoz, hogy ezt a mutat\u00f3t megfelel\u0151en ki tudjuk haszn\u00e1lni, n\u00e9h\u00e1ny gyakorlati szab\u00e1lyt be kell tartanunk:<\/p>\n<ul>\n<li><strong>A sz\u00e1m\u00edt\u00e1s elv\u00e9gz\u00e9se el\u0151tt ellen\u0151rizze a stabilit\u00e1st.<\/strong> Egy instabil folyamat alapj\u00e1n kisz\u00e1m\u00edtott Cp-\u00e9rt\u00e9k (amelyn\u00e9l a kontrollk\u00e1rty\u00e1n k\u00fcl\u00f6nleges okok jelenl\u00e9t\u00e9t \u00e9szlelt\u00e9k) statisztikai szempontb\u00f3l semmilyen jelent\u0151s\u00e9ggel nem b\u00edr. A stabilit\u00e1s el\u0151felt\u00e9tel, nem pedig opci\u00f3.<\/li>\n<li><strong>Soha ne \u00e9rtelmezd egyed\u00fcl.<\/strong> A Cp \u00e9s a Cpk \u00e9rt\u00e9keket mindig egy\u00fctt kell figyelembe venni. Ha a Cp \u2265 1,33 \u00e9s a Cpk \u2265 1,33, az azt jelzi, hogy a folyamat alkalmas <em>\u00e9s<\/em> k\u00f6z\u00e9pre \u00e1ll\u00edtva. Ha a Cp \u00e9rt\u00e9ke \u2265 1,33, a Cpk \u00e9rt\u00e9ke pedig &lt; 1,00, az be\u00e1ll\u00edt\u00e1si probl\u00e9m\u00e1ra utal, amelyet els\u0151bbs\u00e9gi sorrendben kell kijav\u00edtani.<\/li>\n<li><strong>A sorozatgy\u00e1rt\u00e1sra val\u00f3 \u00e1t\u00e1ll\u00e1s el\u0151k\u00e9sz\u00edt\u00e9se.<\/strong> Egy kedvez\u0151 r\u00f6vid t\u00e1v\u00fa vizsg\u00e1lat nem garant\u00e1lja a hossz\u00fa t\u00e1v\u00fa teljes\u00edtm\u00e9nyt. Tervezzen be egy k\u00e9pess\u00e9g-\u00fajra\u00e9rt\u00e9kel\u00e9st (a hossz\u00fa t\u00e1v\u00fa adatok alapj\u00e1n kisz\u00e1m\u00edtott Pp \u00e9s Ppk \u00e9rt\u00e9kek alapj\u00e1n) a gy\u00e1rt\u00e1s els\u0151 heteit k\u00f6vet\u0151en.<\/li>\n<li><strong>A minta reprezentativit\u00e1s\u00e1nak biztos\u00edt\u00e1sa.<\/strong> Az aj\u00e1nlott minim\u00e1lis mintanagys\u00e1g 30\u201350 egym\u00e1st k\u00f6vet\u0151 darab, amelyeket homog\u00e9n k\u00f6r\u00fclm\u00e9nyek k\u00f6z\u00f6tt vettek.<\/li>\n<\/ul>\n<hr \/>\n<p>A Cp egy hat\u00e9kony diagnosztikai eszk\u00f6z, felt\u00e9ve, hogy a megfelel\u0151 k\u00e9rd\u00e9st tessz\u00fck fel neki: <em>Van-e ennek az elj\u00e1r\u00e1snak a m\u00e9retbeli potenci\u00e1lja a t\u0171r\u00e9shat\u00e1r betart\u00e1s\u00e1hoz?<\/em> Ahhoz, hogy megtudjuk, val\u00f3ban \u00edgy viselkedik-e gy\u00e1rt\u00e1si k\u00f6r\u00fclm\u00e9nyek k\u00f6z\u00f6tt, tov\u00e1bb kell menn\u00fcnk \u2014 a Cpk-val a k\u00f6zpontoss\u00e1g, valamint a Ppk-val a hossz\u00fa t\u00e1v\u00fa teljes\u00edtm\u00e9ny tekintet\u00e9ben. Ez a h\u00e1rom mutat\u00f3 egy\u00fcttesen egy koherens k\u00e9pess\u00e9gi ir\u00e1ny\u00edt\u00f3panelt alkot, amelyet senki sem szabadna elk\u00fcl\u00f6n\u00edtve \u00e9rtelmeznie.<\/p>","protected":false},"excerpt":{"rendered":"<p>Votre process PEUT-il tenir la tol\u00e9rance ? Avant d&rsquo;engager une production en s\u00e9rie, toute \u00e9quipe qualit\u00e9 doit r\u00e9pondre \u00e0 une question fondamentale : mon proc\u00e9d\u00e9 est-il physiquement capable de produire dans les sp\u00e9cifications ? Ce n&rsquo;est pas une question de r\u00e9glage, ni de centrage \u2014 c&rsquo;est une question de potentiel brut. C&rsquo;est pr\u00e9cis\u00e9ment \u00e0 cela [&hellip;]<\/p>\n","protected":false},"author":4,"featured_media":4837,"comment_status":"","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-4838","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-data-analysis"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Votre process PEUT-il tenir la tol\u00e9rance ?\u00a0 - Ellistat<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ellistat.com\/hu\/a-folyamatuk-kepes-e-betartani-a-tureshatart\/\" \/>\n<meta property=\"og:locale\" content=\"hu_HU\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Votre process PEUT-il tenir la tol\u00e9rance ?\u00a0 - Ellistat\" \/>\n<meta property=\"og:description\" content=\"Votre process PEUT-il tenir la tol\u00e9rance ? 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