{"id":112992,"date":"2026-10-29T23:03:54","date_gmt":"2026-10-29T23:03:54","guid":{"rendered":"https:\/\/skyplanner.ai\/?p=112992"},"modified":"2026-10-29T23:05:36","modified_gmt":"2026-10-29T23:05:36","slug":"proses-yeterliligi","status":"publish","type":"post","link":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/","title":{"rendered":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in"},"content":{"rendered":"<div class=\"gb-container gb-container-article01 article-main-content-container\">\n\n<h1 class=\"wp-block-heading\">Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in<\/h1>\n\n<div class=\"gb-container gb-container-article02\">\n\n<p><a href=\"\/tr\/\">Ana Sayfa<\/a> &raquo; <a href=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/\">Kaynaklar<\/a> &raquo; Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in<\/p>\n\n\n<p class=\"yoast-reading-time__wrapper\"><span class=\"yoast-reading-time__icon\"><svg aria-hidden=\"true\" focusable=\"false\" data-icon=\"clock\" width=\"20\" height=\"20\" fill=\"none\" stroke=\"currentColor\" style=\"display:inline-block;vertical-align:-0.1em\" role=\"img\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 24 24\"><path stroke-linecap=\"round\" stroke-linejoin=\"round\" stroke-width=\"2\" d=\"M12 8v4l3 3m6-3a9 9 0 11-18 0 9 9 0 0118 0z\"><\/path><\/svg><\/span><span class=\"yoast-reading-time__spacer\" style=\"display:inline-block;width:1em\"><\/span><span class=\"yoast-reading-time__descriptive-text\">Tahmini okuma s\u00fcresi: <\/span><span class=\"yoast-reading-time__reading-time\">11<\/span><span class=\"yoast-reading-time__time-unit\"> dakika<\/span><\/p>\n\n<\/div>\n<div class=\"gb-container gb-container-article03\">\n\n<p><strong>Proses yeterlili\u011fi<\/strong>, kararl\u0131 bir \u00fcretim prosesinin delik \u00e7ap\u0131 veya dolum a\u011f\u0131rl\u0131\u011f\u0131 gibi belirli bir gereklili\u011fi ne \u00f6l\u00e7\u00fcde kar\u015f\u0131layabildi\u011fini ifade eder. Prosesin do\u011fal de\u011fi\u015fkenli\u011fini spesifikasyon s\u0131n\u0131rlar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131r. Cp, yay\u0131l\u0131m\u0131n tolerans aral\u0131\u011f\u0131na ne \u00f6l\u00e7\u00fcde s\u0131\u011fd\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er; Cpk ise proses ortalamas\u0131n\u0131n konumunu da dikkate al\u0131r.<\/p>\n\n\n<p>Bu ayr\u0131m \u00f6nemlidir. Bir prosesin \u00f6l\u00e7\u00fcm sonu\u00e7lar\u0131 birbirine \u00e7ok yak\u0131n olsa bile proses, tolerans s\u0131n\u0131r\u0131na fazla yak\u0131n \u00e7al\u0131\u015f\u0131yor olabilir. Benzer \u015fekilde, bir makinenin yar\u0131n bo\u015f saatlerinin olmas\u0131, o makinenin zorlu gerekliliklere sahip bir \u00f6zelli\u011fi \u00fcretmek i\u00e7in onayl\u0131 oldu\u011fu anlam\u0131na gelmez.<\/p>\n\n\n<p>Bu nedenle, i\u015fe yarayan bir yeterlilik et\u00fcd\u00fc iki kararla sonu\u00e7lan\u0131r: proseste neyin de\u011fi\u015fmesi gerekti\u011fi ve i\u015f i\u00e7in hangi \u00fcretim rotas\u0131n\u0131n kullan\u0131labilece\u011fi. SkyPlanner APS, ikinci konuda yard\u0131mc\u0131 olur. Onayl\u0131 rota ve kullan\u0131lmas\u0131na izin verilen i\u015f merkezleri tan\u0131mlan\u0131p g\u00fcncel tutuldu\u011funda, sipari\u015fleri bu kaynaklara \u00e7izelgeler ve s\u0131n\u0131rl\u0131 kapasitelerinin teslimata etkisini g\u00f6sterir.<\/p>\n\n\n<h2 class=\"wp-block-heading\">Cp ve Cpk nas\u0131l hesaplan\u0131r?<\/h2>\n\n\n<p>\u00d6l\u00e7\u00fclen tek bir \u00f6zellik ve bu \u00f6zellik i\u00e7in ge\u00e7erli spesifikasyonla ba\u015flay\u0131n. Birbiriyle ilgisiz boyutlar\u0131 tek bir endekste birle\u015ftirmeyin. Normal da\u011f\u0131l\u0131ma dayanan geleneksel hesaplama i\u00e7in \u015funlara ihtiyac\u0131n\u0131z vard\u0131r:<\/p>\n\n\n<ul class=\"wp-block-list\"><li><strong>USL:<\/strong> \u00fcst spesifikasyon s\u0131n\u0131r\u0131, yani izin verilen en b\u00fcy\u00fck de\u011fer.<\/li><li><strong>LSL:<\/strong> alt spesifikasyon s\u0131n\u0131r\u0131, yani izin verilen en k\u00fc\u00e7\u00fck de\u011fer.<\/li><li><strong>Ortalama:<\/strong> incelenen prosese ait \u00f6l\u00e7\u00fcm de\u011ferlerinin ortalamas\u0131.<\/li><li><strong>Sigma:<\/strong> tek tek sonu\u00e7lar\u0131n yay\u0131l\u0131m\u0131n\u0131 tan\u0131mlayan tahmini proses standart sapmas\u0131.<\/li><\/ul>\n\n\n<p>T\u00fcm hesaplamalarda ayn\u0131 birimleri kullan\u0131n. S\u0131n\u0131rlar, \u00f6rnekleminizdeki en y\u00fcksek ve en d\u00fc\u015f\u00fck \u00f6l\u00e7\u00fcmlerden de\u011fil, ge\u00e7erli \u00fcr\u00fcn gerekliliklerinden al\u0131n\u0131r. Bunlar, prosesin davran\u0131\u015f\u0131n\u0131 tan\u0131mlayan kontrol grafi\u011fi s\u0131n\u0131rlar\u0131ndan da farkl\u0131d\u0131r.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Cp: tolerans geni\u015fli\u011fini proses yay\u0131l\u0131m\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131n<\/h3>\n\n\n<p><strong>Cp = (USL \u2212 LSL) \/ (6 \u00d7 sigma)<\/strong><\/p>\n\n\n<p>Pay, tolerans geni\u015fli\u011fidir. Payda ise normal da\u011f\u0131l\u0131m modeli alt\u0131nda ortalaman\u0131n her iki yan\u0131nda \u00fc\u00e7er standart sapma uzanan, geleneksel olarak kullan\u0131lan proses yay\u0131l\u0131m\u0131d\u0131r.<\/p>\n\n\n<p>Cp \u015fu soruyu yan\u0131tlar: Proses, s\u0131n\u0131rlar\u0131n tam ortas\u0131na merkezlenmi\u015f olsayd\u0131 bu yay\u0131l\u0131m tolerans aral\u0131\u011f\u0131na s\u0131\u011far m\u0131yd\u0131? Ancak prosesin ger\u00e7ekte bu noktaya merkezlenip merkezlenmedi\u011fini s\u00f6ylemez.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Cpk: daha yak\u0131n s\u0131n\u0131ra olan uzakl\u0131\u011f\u0131 kontrol edin<\/h3>\n\n\n<p><strong>Cpk = min[(USL \u2212 mean) \/ (3 \u00d7 sigma), (mean \u2212 LSL) \/ (3 \u00d7 sigma)]<\/strong><\/p>\n\n\n<p>Her iki taraf\u0131 da hesaplay\u0131n ve k\u00fc\u00e7\u00fck olan sonucu al\u0131n. Bu, s\u0131n\u0131ra kadar kalan pay\u0131n daha az oldu\u011fu taraft\u0131r. Dolay\u0131s\u0131yla Cpk, prosesin hem yay\u0131l\u0131m\u0131n\u0131 hem de konumunu yans\u0131t\u0131r.<\/p>\n\n\n<p>Ayn\u0131 veriler ve ayn\u0131 sigma tahmini kullan\u0131ld\u0131\u011f\u0131nda Cpk, Cp\u2019yi a\u015famaz. Ortalama, spesifikasyon s\u0131n\u0131rlar\u0131n\u0131n orta noktas\u0131ndaysa ikisi e\u015fittir. Aralar\u0131nda fark olmas\u0131, prosesin merkezden kaym\u0131\u015f \u00e7al\u0131\u015ft\u0131\u011f\u0131n\u0131 g\u00f6sterir; kararl\u0131 oldu\u011funu kan\u0131tlamaz.<\/p>\n\n\n<p>Uygulamada bunlar, tam olarak bilinen anak\u00fctle de\u011ferleri de\u011fil, \u00f6rneklemlerden hesaplanan tahminlerdir. Sigman\u0131n nas\u0131l tahmin edildi\u011fini belirtin. Yayg\u0131n olarak kullan\u0131lan grup i\u00e7i\/genel de\u011fi\u015fkenlik raporlama yakla\u015f\u0131m\u0131nda Cp ve Cpk i\u00e7in prosesin grup i\u00e7i de\u011fi\u015fkenli\u011fi tahmin edilir; Pp ve Ppk i\u00e7in ise genel de\u011fi\u015fkenlik kullan\u0131l\u0131r. Spesifikasyon de\u011fi\u015fmese bile kullan\u0131lan tahminin de\u011fi\u015fmesi sonucu de\u011fi\u015ftirebilir.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Yaln\u0131zca tek bir spesifikasyon s\u0131n\u0131r\u0131 varsa ne yap\u0131l\u0131r?<\/h3>\n\n\n<p>\u0130lgili tek tarafl\u0131 endeksi kullan\u0131n: \u00fcst s\u0131n\u0131r i\u00e7in <strong>Cpu = (USL \u2212 mean) \/ (3 \u00d7 sigma)<\/strong>, alt s\u0131n\u0131r i\u00e7in <strong>Cpl = (mean \u2212 LSL) \/ (3 \u00d7 sigma)<\/strong>. \u0130ki tarafl\u0131 Cp hesab\u0131 i\u00e7in iki spesifikasyon s\u0131n\u0131r\u0131 gerekir. Form\u00fcl\u00fc kullanabilmek u\u011fruna ikinci bir gereklilik uydurmay\u0131n.<\/p>\n\n\n<p>Do\u011fal bir s\u0131n\u0131r, kendili\u011finden spesifikasyon s\u0131n\u0131r\u0131 say\u0131lmaz. Negatif de\u011fer alamayan bir \u00f6zellik i\u00e7in de yukar\u0131daki normal da\u011f\u0131l\u0131m hesab\u0131 yerine normal olmayan da\u011f\u0131l\u0131mlara uygun bir analiz gerekebilir.<\/p>\n\n\n<h2 class=\"wp-block-heading\">Hesaplama \u00f6rne\u011fi: iyi bir Cp, daha zay\u0131f bir Cpk<\/h2>\n\n\n<p>Spesifikasyon s\u0131n\u0131rlar\u0131 <strong>19,90 mm ve 20,10 mm<\/strong> olan, tala\u015fl\u0131 imalatla i\u015flenmi\u015f bir delik d\u00fc\u015f\u00fcn\u00fcn. Uygun bir et\u00fctte ortalama <strong>20,04 mm<\/strong>, tahmini grup i\u00e7i proses standart sapmas\u0131 ise <strong>0,020 mm<\/strong> bulunsun. Bu de\u011ferler \u00f6rnek ama\u00e7l\u0131d\u0131r; m\u00fc\u015fteri \u00f6l\u00e7\u00fcmleri de\u011fildir.<\/p>\n\n\n<p>Tolerans geni\u015fli\u011fi 0,20 mm, alt\u0131 sigmal\u0131k yay\u0131l\u0131m ise 0,120 mm\u2019dir:<\/p>\n\n\n<p>Yuvarlanm\u0131\u015f sonu\u00e7: <strong>Cp = (20,10 \u2212 19,90) \/ (6 \u00d7 0,020) = 1,67<\/strong>.<\/p>\n\n\n<p>\u015eimdi ortalaman\u0131n her iki taraf\u0131n\u0131 kontrol edin:<\/p>\n\n\n<ul class=\"wp-block-list\"><li>\u00dcst taraf endeksi: (20,10 \u2212 20,04) \/ (3 \u00d7 0,020) = <strong>1,00<\/strong>.<\/li><li>Alt taraf endeksi, yuvarlanm\u0131\u015f olarak: (20,04 \u2212 19,90) \/ (3 \u00d7 0,020) = <strong>2,33<\/strong>.<\/li><li>Cpk, k\u00fc\u00e7\u00fck olan de\u011ferdir: <strong>1,00<\/strong>.<\/li><\/ul>\n\n\n<p>Yay\u0131l\u0131m nispeten dard\u0131r; ancak proses, tolerans aral\u0131\u011f\u0131ndan tam olarak yararlanamayacak kadar \u00fcst s\u0131n\u0131ra yak\u0131nd\u0131r. Yaln\u0131zca Cp\u2019yi raporlamak bu sorunu gizler.<\/p>\n\n\n<p>Standart sapma de\u011fi\u015fmeden ortalama 20,00 mm\u2019ye kayd\u0131r\u0131lsayd\u0131, yuvarlanm\u0131\u015f de\u011ferlerle Cp 1,67 olarak kal\u0131r, Cpk ise 1,67\u2019ye y\u00fckselirdi. Dolay\u0131s\u0131yla merkezleme, ara\u015ft\u0131r\u0131lmaya de\u011fer bir iyile\u015ftirmedir. Ancak bu, ofseti de\u011fi\u015ftirmenin de\u011fi\u015fkenli\u011fi ayn\u0131 b\u0131rakaca\u011f\u0131 anlam\u0131na gelmez; ayarlanan prosesi yeni verilerle do\u011frulay\u0131n.<\/p>\n\n\n<p>Cp\u2019nin kendisi \u00fczerinde anla\u015f\u0131lm\u0131\u015f gereklili\u011fe g\u00f6re \u00e7ok d\u00fc\u015f\u00fckse, yaln\u0131zca merkezleme sorunu \u00e7\u00f6zmez. Yay\u0131l\u0131m da azalt\u0131lmal\u0131d\u0131r; \u00f6rne\u011fin tak\u0131m, malzeme, tezg\u00e2h ayar\u0131 veya \u00e7evre ko\u015fullar\u0131ndan kaynakland\u0131\u011f\u0131 belirlenen bir de\u011fi\u015fkenlik nedeni giderilebilir. Prosesi de\u011fi\u015ftirmeden \u00f6nce nedeni ara\u015ft\u0131r\u0131n.<\/p>\n\n\n<h2 class=\"wp-block-heading\">\u0130yi bir Cpk de\u011feri nedir?<\/h2>\n\n\n<p><strong>Cpk\u2019nin 1,00 olmas\u0131<\/strong>, daha yak\u0131n spesifikasyon s\u0131n\u0131r\u0131n\u0131n ortalamadan tahmini \u00fc\u00e7 standart sapma uzakl\u0131kta oldu\u011funu g\u00f6sterir. <strong>1,33<\/strong> yayg\u0131n bir referans de\u011feridir, ancak evrensel bir onay kural\u0131 de\u011fildir. Gerekli de\u011fer; m\u00fc\u015fteriye, \u00f6zelli\u011fe, riske ve ge\u00e7erli kalite gerekliliklerine ba\u011fl\u0131d\u0131r.<\/p>\n\n\n<p>Sonucu yaln\u0131zca yaz\u0131l\u0131m\u0131n g\u00f6sterdi\u011fi renge g\u00f6re de\u011fil, \u00fczerinde anla\u015f\u0131lm\u0131\u015f bu \u00f6l\u00e7\u00fcte g\u00f6re de\u011ferlendirin:<\/p>\n\n\n<ul class=\"wp-block-list\"><li><strong>Cpk gerekli de\u011ferin alt\u0131ndaysa:<\/strong> verilerin ortaya koydu\u011fu pay yetersizdir. Et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; ard\u0131ndan konumu, de\u011fi\u015fkenli\u011fi veya her ikisini iyile\u015ftirin.<\/li><li><strong>Cpk gerekli de\u011fere e\u015fitse veya bu de\u011ferin \u00fczerindeyse:<\/strong> sonucu \u00fcretime ili\u015fkin bir kan\u0131t olarak kabul etmeden \u00f6nce et\u00fct ko\u015fullar\u0131n\u0131 ve istatistiksel belirsizli\u011fi g\u00f6zden ge\u00e7irin.<\/li><li><strong>Cpk s\u0131f\u0131rsa:<\/strong> ortalama, spesifikasyon s\u0131n\u0131rlar\u0131ndan birine tam olarak e\u015fittir.<\/li><li><strong>Cpk negatifse:<\/strong> ortalama, spesifikasyon s\u0131n\u0131rlar\u0131ndan birinin d\u0131\u015f\u0131ndad\u0131r; daha yak\u0131n s\u0131n\u0131r i\u00e7in yap\u0131lan hesaplama negatif sonu\u00e7 verir.<\/li><\/ul>\n\n\n<p>Cpk\u2019yi uygun par\u00e7a y\u00fczdesi veya garanti edilmi\u015f bir ret oran\u0131 olarak yorumlamay\u0131n. Bir endeksi tahmini kusurlu oran\u0131na d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in her iki s\u0131n\u0131r\u0131n konumunun yan\u0131 s\u0131ra da\u011f\u0131l\u0131m ve kararl\u0131l\u0131kla ilgili varsay\u0131mlar gerekir. Tek bir Cpk de\u011feri tablonun tamam\u0131n\u0131 g\u00f6stermez.<\/p>\n\n\n<p>Cpk, ayr\u0131ca belirlenmi\u015f bir tasar\u0131m hedefine ne kadar yak\u0131n olundu\u011funu da do\u011frudan \u00f6l\u00e7mez. Yay\u0131l\u0131m sabitken ve iki s\u0131n\u0131r varken en y\u00fcksek de\u011ferine tolerans aral\u0131\u011f\u0131n\u0131n orta noktas\u0131nda ula\u015f\u0131r. M\u00fchendislik hedefi bu orta noktadan farkl\u0131ysa, prosesi yaln\u0131zca Cpk\u2019yi en y\u00fcksek seviyeye \u00e7\u0131karmak i\u00e7in kayd\u0131rmak yerine hedefe g\u00f6re performans\u0131 da de\u011ferlendirin.<\/p>\n\n\n<h2 class=\"wp-block-heading\">Say\u0131sal sonuca g\u00fcvenmeden \u00f6nce et\u00fcd\u00fc kontrol edin<\/h2>\n\n\n<p>Hesaplama genellikle i\u015fin kolay k\u0131sm\u0131d\u0131r. As\u0131l zor soru, \u00f6l\u00e7\u00fcmlerin uygulamay\u0131 planlad\u0131\u011f\u0131n\u0131z prosesi temsil edip etmedi\u011fidir.<\/p>\n\n\n<h3 class=\"wp-block-heading\">\u0130\u015fe uygun bir \u00f6l\u00e7\u00fcm sistemi kullan\u0131n<\/h3>\n\n\n<p>\u00d6l\u00e7\u00fcm y\u00f6nteminin, incelenen \u00f6zellikteki farklar\u0131 ay\u0131rt edebildi\u011fini ve verilecek karar i\u00e7in \u00f6l\u00e7\u00fcm hatas\u0131n\u0131n kabul edilebilir d\u00fczeyde oldu\u011funu kontrol edin. Kalibrasyon \u00f6nemlidir; ancak sistematik sapma, tekrarlanabilirlik ve operat\u00f6rler ya da y\u00f6ntemler aras\u0131ndaki farklar da \u00f6nem ta\u015f\u0131r. \u00d6l\u00e7\u00fcm sistemi analizi, \u00f6l\u00e7\u00fcmden kaynaklanan de\u011fi\u015fkenli\u011fi \u00fcretimden kaynaklanan de\u011fi\u015fkenlikten ay\u0131rmaya yard\u0131mc\u0131 olur.<\/p>\n\n\n<p>S\u00fcrekli \u00f6l\u00e7\u00fcm verilerine dayal\u0131 bir Cp\/Cpk \u00e7al\u0131\u015fmas\u0131nda ger\u00e7ek \u00f6l\u00e7\u00fcm de\u011ferlerini kullan\u0131n. Sa\u011flam ve hatal\u0131 \u00fcr\u00fcn say\u0131lar\u0131; delik \u00e7aplar\u0131n\u0131n, a\u011f\u0131rl\u0131klar\u0131n veya \u00f6l\u00e7\u00fclen di\u011fer \u00f6zelliklerin da\u011f\u0131l\u0131m\u0131n\u0131n yerini tutmaz.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Karar\u0131n kapsayaca\u011f\u0131 ko\u015fullar\u0131 \u00f6rneklemeye dahil edin<\/h3>\n\n\n<p>\u00dcr\u00fcn revizyonunu, incelenen \u00f6zelli\u011fi, rotay\u0131, ekipman\u0131, makine ayar\u0131n\u0131 ve ilgili \u00fcretim ko\u015fullar\u0131n\u0131 tan\u0131mlay\u0131n. \u00d6l\u00e7\u00fcmlerin ne zaman ve nerede yap\u0131ld\u0131\u011f\u0131n\u0131 kaydedin. Tek bir tak\u0131m, tek bir operat\u00f6r ve tek bir malzeme partisiyle yap\u0131lan k\u0131sa bir \u00fcretim, di\u011fer ko\u015fullarda da yeterlilik sa\u011fland\u0131\u011f\u0131n\u0131 kendili\u011finden g\u00f6stermez.<\/p>\n\n\n<p>Verileri zaman s\u0131ras\u0131na g\u00f6re toplay\u0131n. Rasyonel alt gruplar kullan\u0131yorsan\u0131z \u00f6l\u00e7\u00fcmleri, alt grup i\u00e7i de\u011fi\u015fkenlik incelenmek istenen k\u0131sa d\u00f6nemli proses de\u011fi\u015fkenli\u011fini temsil edecek \u015fekilde gruplay\u0131n. \u00c7al\u0131\u015fma ayn\u0131 zamanda alt gruplar aras\u0131ndaki de\u011fi\u015fimleri de ortaya \u00e7\u0131karabilmelidir. \u0130ndeksi y\u00fckseltmek i\u00e7in verileri yeniden gruplamay\u0131n veya sonucu olumsuz etkileyen \u00f6l\u00e7\u00fcmleri a\u00e7\u0131klama yapmadan \u00e7\u0131karmay\u0131n.<\/p>\n\n\n<p>Farkl\u0131 makinelerden, kal\u0131p g\u00f6zlerinden veya makine ayarlar\u0131ndan gelen verileri, ayn\u0131 prosesi temsil edip etmediklerini kontrol etmeden birle\u015ftirmeyin. Birle\u015ftirilmi\u015f bir histogram, ayr\u0131ca incelenmesi gereken bir kaymay\u0131 veya farkl\u0131 da\u011f\u0131l\u0131mlar\u0131n kar\u0131\u015f\u0131m\u0131n\u0131 gizleyebilir.<\/p>\n\n\n<h3 class=\"wp-block-heading\">\u00d6ng\u00f6r\u00fcde bulunmadan \u00f6nce prosesin kararl\u0131 oldu\u011funu do\u011frulay\u0131n<\/h3>\n\n\n<p>De\u011fi\u015fimleri, e\u011filimleri ve \u00f6zel nedenleri ara\u015ft\u0131rmak i\u00e7in uygun bir kontrol grafi\u011finden ve proses bilginizden yararlan\u0131n. Histogram, sonu\u00e7lar\u0131n da\u011f\u0131l\u0131m\u0131n\u0131 g\u00f6sterir ancak zaman s\u0131ras\u0131n\u0131 yans\u0131tmaz. Tek ba\u015f\u0131na prosesin kararl\u0131 oldu\u011funu g\u00f6steremez.<\/p>\n\n\n<p>Kararl\u0131 bir proses yine de tolerans\u0131 kar\u015f\u0131lamakta yetersiz kalabilir. Buna kar\u015f\u0131l\u0131k, karars\u0131z bir prosesten elde edilen y\u00fcksek bir yeterlilik tahmini, gelecekteki \u00fcretim sonu\u00e7lar\u0131 i\u00e7in g\u00fcvenilir bir \u00f6ng\u00f6r\u00fc de\u011fildir. \u0130ndeksi, hi\u00e7bir de\u011fi\u015fiklik yapmadan devam etme izni olarak g\u00f6rmek yerine prosesi kararl\u0131 h\u00e2le getirin ve yeniden de\u011ferlendirin.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Da\u011f\u0131l\u0131m\u0131 ve belirsizli\u011fi kontrol edin<\/h3>\n\n\n<p>Geleneksel form\u00fcller normal da\u011f\u0131l\u0131m modelini kullan\u0131r. Verileri ve da\u011f\u0131l\u0131ma uyumunu inceleyin. \u00d6zellik ger\u00e7ekten normal da\u011f\u0131lm\u0131yorsa gerek\u00e7esi a\u00e7\u0131klanabilen bir d\u00f6n\u00fc\u015f\u00fcm veya normal olmayan da\u011f\u0131l\u0131mlara uygun bir yeterlilik y\u00f6ntemi kullan\u0131n. Normallik testi ge\u00e7ilene kadar g\u00f6zlemleri \u00e7\u0131karmak \u00e7\u00f6z\u00fcm de\u011fildir.<\/p>\n\n\n<p>\u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcn\u00fc ve \u00e7al\u0131\u015fman\u0131n s\u00fcresini, \u00e7al\u0131\u015fman\u0131n amac\u0131na ve ge\u00e7erli gerekliliklere g\u00f6re planlay\u0131n. Ko\u015fullar\u0131n ola\u011fan d\u0131\u015f\u0131 \u00f6l\u00e7\u00fcde elveri\u015fli oldu\u011fu tek bir \u00fcretimden yeterli say\u0131da g\u00f6zlem toplasan\u0131z bile, \u00f6nemli olan de\u011fi\u015fkenli\u011fi yakalayamayabilirsiniz. K\u00fc\u00e7\u00fck \u00f6rneklemler de tahmin edilen indeksteki belirsizli\u011fi art\u0131r\u0131r. Bu nedenle, kabul karar\u0131n\u0131n gerektirdi\u011fi durumlarda g\u00fcven aral\u0131\u011f\u0131n\u0131 veya alt g\u00fcven s\u0131n\u0131r\u0131n\u0131 inceleyin.<\/p>\n\n\n<p>Raporun do\u011fru yorumlanabilmesi i\u00e7in spesifikasyon revizyonunu, \u00e7al\u0131\u015fma ko\u015fullar\u0131n\u0131, \u00f6rnekleme plan\u0131n\u0131, sigma tahmin y\u00f6ntemini, kararl\u0131l\u0131k kan\u0131tlar\u0131n\u0131, da\u011f\u0131l\u0131m analiz y\u00f6ntemini, indeks tahminlerini ve \u00fczerinde anla\u015f\u0131lm\u0131\u015f kabul kriterini belirtin. Bu ayr\u0131nt\u0131lar, raporu daha sonra okuyan ki\u015finin say\u0131sal sonucun ger\u00e7ekte neyi destekledi\u011fini anlamas\u0131n\u0131 sa\u011flar.<\/p>\n\n\n<h2 class=\"wp-block-heading\">Cp\/Cpk, Pp\/Ppk ve Cm\/Cmk birbirinin yerine kullan\u0131lamaz<\/h2>\n\n\n<p>Alt grup i\u00e7i ve genel de\u011fi\u015fkenlik ayr\u0131m\u0131n\u0131n yayg\u0131n olarak kullan\u0131ld\u0131\u011f\u0131 yakla\u015f\u0131ma g\u00f6re <strong>Cp ve Cpk<\/strong>, tahmin edilen proses i\u00e7i de\u011fi\u015fkenli\u011fe dayal\u0131 yeterlili\u011fi ifade eder. <strong>Pp ve Ppk<\/strong> ise \u00e7al\u0131\u015fma verilerinin genel standart sapmas\u0131n\u0131 kullan\u0131r. Her iki indeks \u00e7ifti de yay\u0131l\u0131m\u0131 spesifikasyon s\u0131n\u0131rlar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131r; Cpk ve Ppk ayr\u0131ca ortalaman\u0131n konumunu da dikkate al\u0131r.<\/p>\n\n\n<p>Ppk de\u011ferinin Cpk de\u011ferinden belirgin bi\u00e7imde d\u00fc\u015f\u00fck olmas\u0131, alt grup i\u00e7i tahminin yakalayamad\u0131\u011f\u0131 alt gruplar aras\u0131 de\u011fi\u015fkenli\u011fe i\u015faret edebilir. Zaman s\u0131ras\u0131n\u0131 ve de\u011fi\u015fkenlik kaynaklar\u0131n\u0131 ara\u015ft\u0131r\u0131n. Bu indekslerin hi\u00e7biri, karars\u0131z verileri g\u00fcvenilir bir \u00f6ng\u00f6r\u00fcye d\u00f6n\u00fc\u015ft\u00fcrmez. Genel de\u011fi\u015fkenli\u011fe dayal\u0131 bir indeks de yaln\u0131zca fiilen \u00f6rneklenen ko\u015fullar\u0131 temsil eder.<\/p>\n\n\n<p><strong>Cm ve Cmk<\/strong>, genellikle makinenin etkisini di\u011fer etkilerden ay\u0131rmak amac\u0131yla kontroll\u00fc ko\u015fullarda y\u00fcr\u00fct\u00fclen makine yeterlili\u011fi \u00e7al\u0131\u015fmalar\u0131nda kullan\u0131l\u0131r. Bu kapsam, ola\u011fan ko\u015fullardaki \u00e7e\u015fitli etkilere maruz kalan bir \u00fcretim prosesinin kapsam\u0131ndan farkl\u0131d\u0131r.<\/p>\n\n\n<p>Adland\u0131rmalar ve hesaplama yakla\u015f\u0131mlar\u0131 standartlar, sekt\u00f6rler ve analiz yaz\u0131l\u0131mlar\u0131 aras\u0131nda farkl\u0131l\u0131k g\u00f6sterebilir. Raporlar\u0131 kar\u015f\u0131la\u015ft\u0131r\u0131rken yaln\u0131zca form\u00fcllerin birbirine benzeyip benzemedi\u011fine de\u011fil; \u00e7al\u0131\u015fman\u0131n amac\u0131na, verilere, de\u011fi\u015fkenlik tahminine ve y\u00f6nteme de bak\u0131n. Bir makine \u00e7al\u0131\u015fmas\u0131n\u0131n sonucu, yaln\u0131zca ad\u0131 de\u011fi\u015ftirilerek t\u00fcm \u00fcretim prosesinin yeterlili\u011fine kan\u0131t olarak sunulamaz.<\/p>\n\n\n<h2 class=\"wp-block-heading\">Onayl\u0131 prosesi \u00fcretim plan\u0131na yans\u0131t\u0131n<\/h2>\n\n\n<p>Kalite birimi \u00e7al\u0131\u015fmay\u0131 de\u011ferlendirdikten sonra uygulamada ne yap\u0131laca\u011f\u0131 net olmal\u0131d\u0131r: Hangi \u00fcretim y\u00f6ntemi, hangi ko\u015fullarda kabul edilebilir ve hangi izleme faaliyetleri veya d\u00fczeltici faaliyetler gereklidir? Onay\u0131 ve kapsam\u0131n\u0131 kalite s\u00fcrecinizde kay\u0131t alt\u0131na al\u0131n.<\/p>\n\n\n<p>Ard\u0131ndan, karar\u0131n izin verdi\u011fi <a href=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/uretim-rotasi\/\">rota ve kaynaklar\u0131<\/a> \u00fcretim planlama birimine iletin. Onayl\u0131 y\u00f6ntem yaln\u0131zca makineye ba\u011fl\u0131 olmayabilir; tak\u0131m, program, malzeme, makine ayar\u0131 ve \u00e7al\u0131\u015fma ko\u015fullar\u0131 da \u00f6nem ta\u015f\u0131yabilir. \u0130\u015f merkezinin uygunlu\u011funu tan\u0131mlamak, bu karar\u0131 uygulaman\u0131n bir par\u00e7as\u0131d\u0131r; ilgili t\u00fcm \u00fcretim kontrollerinin yerini tutmaz.<\/p>\n\n\n<p>Deli\u011fin \u00fcretimi i\u00e7in yaln\u0131zca bir i\u015fleme merkezinin onayland\u0131\u011f\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn. \u0130kinci bir merkezin bo\u015f zaman\u0131 var, ancak bu operasyon i\u00e7in yeterlili\u011fi onaylanmam\u0131\u015f. Sipari\u015fi oraya ta\u015f\u0131mak, kapasite sorununu onay ko\u015fullar\u0131na uygun bi\u00e7imde \u00e7\u00f6zmez. Planlama biriminin, uygun i\u015fleme merkezinin daha \u00f6nce taahh\u00fct edilen di\u011fer i\u015flerin yan\u0131 s\u0131ra bu i\u015fi de yapmaya kapasitesinin yetip yetmedi\u011fini g\u00f6rmesi gerekir.<\/p>\n\n\n<h3 class=\"wp-block-heading\">SkyPlanner i\u015fleri uygun kaynaklarda \u00e7izelgelesin<\/h3>\n\n\n<p>SkyPlanner APS, g\u00fcncel tuttu\u011funuz bu rotay\u0131 <a href=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/uretim-cizelgeleme-nedir\/\">sonlu kapasiteli bir \u00fcretim \u00e7izelgesine<\/a> d\u00f6n\u00fc\u015ft\u00fcr\u00fcr. Proses ad\u0131mlar\u0131n\u0131, s\u00fcrelerini ve uygun i\u015f merkezlerini; vardiyalar, kapasite, ba\u011f\u0131ml\u0131l\u0131klar ve \u00f6nceliklerle birlikte tan\u0131mlay\u0131n. SkyPlanner&#8217;\u0131n \u00e7izelgeleme i\u00e7in kulland\u0131\u011f\u0131 yapay zek\u00e2 Arcturus, operasyonlar\u0131 tan\u0131mlanm\u0131\u015f kaynaklara yerle\u015ftirir. Gantt zaman \u00e7izelgesi, i\u015fin ne zamana planland\u0131\u011f\u0131n\u0131 ve di\u011fer sipari\u015fler aras\u0131nda \u00e7izelgeye nas\u0131l yerle\u015ftirildi\u011fini g\u00f6sterir.<\/p>\n\n\n<p>Planlama uzman\u0131 i\u00e7in bunun faydas\u0131, rota k\u0131s\u0131tlar\u0131n\u0131 ak\u0131lda tutmaya ve makine kuyruklar\u0131n\u0131 elle d\u00fczeltmeye daha az zaman ay\u0131rmakt\u0131r. Onayl\u0131 bir kaynak yo\u011fun bi\u00e7imde y\u00fckl\u00fcyse bunun teslimata etkisi \u00e7izelgede g\u00f6r\u00fcn\u00fcr h\u00e2le gelir. Bo\u015f olan her makinenin i\u015fi yapabilece\u011fini varsaymak yerine, uygun bir kaynakta \u00f6ncelik de\u011fi\u015fikli\u011fini veya ek \u00e7al\u0131\u015fma s\u00fcresini de\u011ferlendirebilirsiniz.<\/p>\n\n\n<p>\u0130statistiksel de\u011ferlendirmeyi kalite i\u015f ak\u0131\u015f\u0131nda tutun. SkyPlanner&#8217;\u0131n buradaki g\u00f6revi, g\u00fcncel tuttu\u011funuz onayl\u0131 rota bilgilerini kullanarak \u00e7izelgeleme yapmakt\u0131r; Cpk de\u011ferinden yeterlilik sonucu \u00e7\u0131karmak veya bu onay\u0131 otomatik olarak g\u00fcncellemek de\u011fildir. Kalite birimi ba\u015fka bir kayna\u011f\u0131 onaylad\u0131\u011f\u0131nda, rotadaki uygun kaynaklar\u0131 g\u00fcncelleyin ve ek kapasitenin \u00e7izelgeye yans\u0131mas\u0131n\u0131 sa\u011flay\u0131n.<\/p>\n\n\n<p><strong>Claude, ChatGPT veya Microsoft Copilot<\/strong> gibi kendi yapay zek\u00e2 asistan\u0131n\u0131z \u00fczerinden de \u00e7al\u0131\u015fabilirsiniz. Asistan ile SkyPlanner aras\u0131ndaki ba\u011flant\u0131y\u0131 MCP sa\u011flar. \u00d6rne\u011fin, bu hafta belirli bir onayl\u0131 i\u015f merkezini kullanmak i\u00e7in hangi sipari\u015flerin yar\u0131\u015ft\u0131\u011f\u0131n\u0131 \u00f6\u011frenmek istedi\u011finizi asistan\u0131n\u0131za s\u00f6yleyin. Asistan, SkyPlanner verilerini ve \u00fcr\u00fcn bilgisini bir araya getirerek kuyru\u011fu incelemenize ve izin verilen \u00e7izelgeleme i\u015flevlerini kullanman\u0131za yard\u0131mc\u0131 olabilir. B\u00f6ylece do\u011fru bilgiye ula\u015fmak i\u00e7in harcad\u0131\u011f\u0131n\u0131z \u00e7aba azal\u0131rken \u00fcretim \u00f6ncelikleri \u00fczerindeki kontrol sizde kal\u0131r.<\/p>\n\n\n<p>SkyPlanner, a\u00e7\u0131k REST API&#8217;si arac\u0131l\u0131\u011f\u0131yla her ERP veya MES ile entegre olur. Bu sistemleri kullanmaya devam edebilir ve \u00e7izelgeleme i\u00e7in gereken sipari\u015f ve \u00fcretim verilerinin SkyPlanner ile ba\u011flant\u0131s\u0131n\u0131 kurabilirsiniz.<\/p>\n\n\n<h3 class=\"wp-block-heading\">Uygulamada daha iyi kaynak atamas\u0131<\/h3>\n\n\n<p><a href=\"https:\/\/skyplanner.ai\/tr\/musteri-hikayeleri\/kjh-comp\/\">Fason sac par\u00e7a \u00fcreticisi KJH-Comp<\/a>, ERP ve elektronik tablolarla haftal\u0131k y\u00fck\u00fc kabaca g\u00f6rebiliyordu; ancak i\u015fleri makinelere g\u00fcn baz\u0131nda atama i\u015flemi h\u00e2l\u00e2 elle yap\u0131l\u0131yordu. \u015eirket, C9000 ERP sistemini kullanmaya devam ederken sonlu kapasite \u00e7izelgeleme i\u00e7in SkyPlanner&#8217;\u0131 devreye ald\u0131. M\u00fc\u015fteri hik\u00e2yesinde, i\u015flerin makinelere otomatik atanmas\u0131 ve belirli bir b\u00fck\u00fcm makinesinin kapasitesini a\u015fan i\u015f y\u00fck\u00fcn\u00fcn daha erken g\u00f6r\u00fclebilmesi anlat\u0131l\u0131yor.<\/p>\n\n\n<p>Bu deneyim, \u00e7izelgelemenin sa\u011flad\u0131\u011f\u0131 fayday\u0131 g\u00f6steriyor: \u0130lgili kaynak ve teslimat aral\u0131\u011f\u0131, haftal\u0131k toplam\u0131n i\u00e7inde kaybolmak yerine g\u00f6r\u00fcn\u00fcr h\u00e2le geliyor. Bu, KJH-Comp&#8217;un Cp\/Cpk sonu\u00e7lar\u0131 hakk\u0131nda bir iddia de\u011fildir. Proses yeterlili\u011fi nedeniyle kaynak se\u00e7enekleri k\u0131s\u0131tl\u0131 olan bir rota i\u00e7in de ayn\u0131 planlama sorusu \u00f6nemlidir: \u0130\u015f, kullanman\u0131za izin verilen kaynaklarda ne zaman tamamlanabilir?<\/p>\n\n\n<h2 class=\"wp-block-heading\">Plan\u0131 onayl\u0131 bir rotayla test edin<\/h2>\n\n\n<p>Tolerans, yay\u0131l\u0131m ve konum aras\u0131ndaki ili\u015fkiyi anlamak i\u00e7in Cp ve Cpk kullan\u0131n. Bu kan\u0131tlar\u0131n \u00fcretim a\u00e7\u0131s\u0131ndan ne anlama geldi\u011fine, do\u011fru tasarlanm\u0131\u015f bir \u00e7al\u0131\u015fmayla karar verin. Ard\u0131ndan onayl\u0131 rotay\u0131, planlama uzman\u0131n\u0131n akl\u0131nda tutmas\u0131 gereken bir not olmaktan \u00e7\u0131kar\u0131p \u00e7izelgede ger\u00e7ek bir k\u0131s\u0131t h\u00e2line getirin.<\/p>\n\n\n<p>Onayl\u0131 bir rota, bu rotaya uygun i\u015f merkezleri ve mevcut sipari\u015f y\u00fck\u00fcn\u00fczle <a href=\"https:\/\/skyplanner.ai\/tr\/iletisim-satis\/\">SkyPlanner demosu i\u00e7in randevu al\u0131n<\/a>. \u0130\u015flerin \u00e7izelgeye nas\u0131l yerle\u015fti\u011fini ve hangi teslimat taahh\u00fctlerinin dikkat gerektirdi\u011fini g\u00f6r\u00fcn. \u00d6nce kendiniz ke\u015ffetmek isterseniz <a href=\"https:\/\/skyplanner.ai\/tr\/deneme\/\">SkyPlanner&#8217;\u0131 demo verileriyle deneyin<\/a> veya SkyPlanner Assistant&#8217;taki yapay zek\u00e2 destekli Ba\u015flang\u0131\u00e7 rehberini kullan\u0131n.<\/p>\n\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in Ana Sayfa &raquo; Kaynaklar &raquo; Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in Proses yeterlili\u011fi, kararl\u0131 bir \u00fcretim prosesinin delik \u00e7ap\u0131 veya dolum a\u011f\u0131rl\u0131\u011f\u0131 gibi belirli bir gereklili\u011fi ne \u00f6l\u00e7\u00fcde kar\u015f\u0131layabildi\u011fini ifade eder. Prosesin do\u011fal de\u011fi\u015fkenli\u011fini spesifikasyon s\u0131n\u0131rlar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131r. Cp, yay\u0131l\u0131m\u0131n tolerans aral\u0131\u011f\u0131na ne \u00f6l\u00e7\u00fcde s\u0131\u011fd\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er; &#8230; <a title=\"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\" class=\"read-more\" href=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/\" aria-label=\"Read more about Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\">Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":113007,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"_uag_custom_page_level_css":"","footnotes":""},"categories":[2542,314],"tags":[],"class_list":["post-112992","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-aps-ve-cizelgeleme","category-kaynaklar","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-33"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v28.3 (Yoast SEO v28.7) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in<\/title>\n<meta name=\"description\" content=\"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\" \/>\n<meta property=\"og:description\" content=\"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/\" \/>\n<meta property=\"og:site_name\" content=\"SkyPlanner\" \/>\n<meta property=\"article:published_time\" content=\"2026-10-29T23:03:54+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2026-10-29T23:05:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1672\" \/>\n\t<meta property=\"og:image:height\" content=\"941\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"Jussi M\u00e4ntyl\u00e4\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Jussi M\u00e4ntyl\u00e4\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"16 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/\"},\"author\":{\"name\":\"Jussi M\u00e4ntyl\u00e4\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#\\\/schema\\\/person\\\/d90eac23cfbf5af3a2c4a38ff10376b5\"},\"headline\":\"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\",\"datePublished\":\"2026-10-29T23:03:54+00:00\",\"dateModified\":\"2026-10-29T23:05:36+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/\"},\"wordCount\":3143,\"publisher\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#organization\"},\"image\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/process-capability-hero.png\",\"articleSection\":[\"APS ve \u00e7izelgeleme\",\"Kaynaklar\"],\"inLanguage\":\"tr\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/\",\"name\":\"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/process-capability-hero.png\",\"datePublished\":\"2026-10-29T23:03:54+00:00\",\"dateModified\":\"2026-10-29T23:05:36+00:00\",\"description\":\"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#primaryimage\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/process-capability-hero.png\",\"contentUrl\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2026\\\/10\\\/process-capability-hero.png\",\"width\":1672,\"height\":941,\"caption\":\"Bored sleeve in a fixture, with parts routed to one machining centre and a separate alternative machine.\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/kaynaklar\\\/proses-yeterliligi\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#website\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/\",\"name\":\"SkyPlanner\",\"description\":\"AI-powered production scheduling and planning software\",\"publisher\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"tr\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#organization\",\"name\":\"Skycode Oy\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2022\\\/05\\\/Skyplanner-logo-2.svg\",\"contentUrl\":\"https:\\\/\\\/skyplanner.ai\\\/wp-content\\\/uploads\\\/2022\\\/05\\\/Skyplanner-logo-2.svg\",\"width\":223,\"height\":43,\"caption\":\"SkyPlanner APS\"},\"image\":{\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"legalName\":\"Skycode Oy\",\"alternateName\":[\"Skycode\",\"SkyPlanner\",\"SkyPlanner APS\"],\"description\":\"Skycode Oy is the Finnish software company that develops and publishes SkyPlanner APS, AI production scheduling and advanced planning and scheduling (APS) software for manufacturers worldwide. Founded in 1997 as a sole proprietorship and incorporated as Skycode Oy in 2008.\",\"foundingDate\":\"1997\",\"taxID\":\"2204947-0\",\"vatID\":\"FI22049470\",\"telephone\":\"+358407000002\",\"email\":\"support@skyplanner.ai\",\"address\":{\"@type\":\"PostalAddress\",\"streetAddress\":\"Rantakatu 2 G 11\",\"postalCode\":\"65100\",\"addressLocality\":\"Vaasa\",\"addressCountry\":\"FI\"},\"brand\":{\"@type\":\"Brand\",\"name\":\"SkyPlanner\"},\"knowsAbout\":[\"Production Scheduling\",\"Advanced Planning and Scheduling\",\"Manufacturing AI\",\"Finite Capacity Scheduling\",\"ERP Integration\",\"MES Integration\"],\"areaServed\":\"Worldwide\",\"contactPoint\":[{\"@type\":\"ContactPoint\",\"contactType\":\"sales\",\"url\":\"https:\\\/\\\/skyplanner.ai\\\/contact-sales\\\/\",\"areaServed\":\"Worldwide\"},{\"@type\":\"ContactPoint\",\"contactType\":\"customer support\",\"email\":\"support@skyplanner.ai\",\"telephone\":\"+358407000002\",\"areaServed\":\"Worldwide\"}],\"sameAs\":[\"https:\\\/\\\/www.wikidata.org\\\/wiki\\\/Q141672132\",\"https:\\\/\\\/skycode.fi\\\/\",\"https:\\\/\\\/www.linkedin.com\\\/company\\\/skycodeoy\\\/\",\"https:\\\/\\\/www.finder.fi\\\/IT-konsultointi+IT-palvelut\\\/Skycode+Oy\\\/Vaasa\\\/yhteystiedot\\\/1934882\"]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/skyplanner.ai\\\/tr\\\/#\\\/schema\\\/person\\\/d90eac23cfbf5af3a2c4a38ff10376b5\",\"name\":\"Jussi M\u00e4ntyl\u00e4\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g\",\"contentUrl\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g\",\"caption\":\"Jussi M\u00e4ntyl\u00e4\"}}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in","description":"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/","og_locale":"tr_TR","og_type":"article","og_title":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in","og_description":"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.","og_url":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/","og_site_name":"SkyPlanner","article_published_time":"2026-10-29T23:03:54+00:00","article_modified_time":"2026-10-29T23:05:36+00:00","og_image":[{"width":1672,"height":941,"url":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png","type":"image\/png"}],"author":"Jussi M\u00e4ntyl\u00e4","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Jussi M\u00e4ntyl\u00e4","Tahmini okuma s\u00fcresi":"16 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#article","isPartOf":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/"},"author":{"name":"Jussi M\u00e4ntyl\u00e4","@id":"https:\/\/skyplanner.ai\/tr\/#\/schema\/person\/d90eac23cfbf5af3a2c4a38ff10376b5"},"headline":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in","datePublished":"2026-10-29T23:03:54+00:00","dateModified":"2026-10-29T23:05:36+00:00","mainEntityOfPage":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/"},"wordCount":3143,"publisher":{"@id":"https:\/\/skyplanner.ai\/tr\/#organization"},"image":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#primaryimage"},"thumbnailUrl":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png","articleSection":["APS ve \u00e7izelgeleme","Kaynaklar"],"inLanguage":"tr"},{"@type":"WebPage","@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/","url":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/","name":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in","isPartOf":{"@id":"https:\/\/skyplanner.ai\/tr\/#website"},"primaryImageOfPage":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#primaryimage"},"image":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#primaryimage"},"thumbnailUrl":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png","datePublished":"2026-10-29T23:03:54+00:00","dateModified":"2026-10-29T23:05:36+00:00","description":"Y\u00fcksek Cp, merkez kaymas\u0131n\u0131 gizleyebilir. Cp ve Cpk\u2019yi hesaplay\u0131n, et\u00fcd\u00fcn ge\u00e7erlili\u011fini kontrol edin; \u00fcretimi i\u015f i\u00e7in onayl\u0131 kaynaklarda planlay\u0131n.","breadcrumb":{"@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/"]}]},{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#primaryimage","url":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png","contentUrl":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png","width":1672,"height":941,"caption":"Bored sleeve in a fixture, with parts routed to one machining centre and a separate alternative machine."},{"@type":"BreadcrumbList","@id":"https:\/\/skyplanner.ai\/tr\/kaynaklar\/proses-yeterliligi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/skyplanner.ai\/tr\/"},{"@type":"ListItem","position":2,"name":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in"}]},{"@type":"WebSite","@id":"https:\/\/skyplanner.ai\/tr\/#website","url":"https:\/\/skyplanner.ai\/tr\/","name":"SkyPlanner","description":"AI-powered production scheduling and planning software","publisher":{"@id":"https:\/\/skyplanner.ai\/tr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/skyplanner.ai\/tr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"tr"},{"@type":"Organization","@id":"https:\/\/skyplanner.ai\/tr\/#organization","name":"Skycode Oy","url":"https:\/\/skyplanner.ai\/tr\/","logo":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/skyplanner.ai\/tr\/#\/schema\/logo\/image\/","url":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2022\/05\/Skyplanner-logo-2.svg","contentUrl":"https:\/\/skyplanner.ai\/wp-content\/uploads\/2022\/05\/Skyplanner-logo-2.svg","width":223,"height":43,"caption":"SkyPlanner APS"},"image":{"@id":"https:\/\/skyplanner.ai\/tr\/#\/schema\/logo\/image\/"},"legalName":"Skycode Oy","alternateName":["Skycode","SkyPlanner","SkyPlanner APS"],"description":"Skycode Oy is the Finnish software company that develops and publishes SkyPlanner APS, AI production scheduling and advanced planning and scheduling (APS) software for manufacturers worldwide. Founded in 1997 as a sole proprietorship and incorporated as Skycode Oy in 2008.","foundingDate":"1997","taxID":"2204947-0","vatID":"FI22049470","telephone":"+358407000002","email":"support@skyplanner.ai","address":{"@type":"PostalAddress","streetAddress":"Rantakatu 2 G 11","postalCode":"65100","addressLocality":"Vaasa","addressCountry":"FI"},"brand":{"@type":"Brand","name":"SkyPlanner"},"knowsAbout":["Production Scheduling","Advanced Planning and Scheduling","Manufacturing AI","Finite Capacity Scheduling","ERP Integration","MES Integration"],"areaServed":"Worldwide","contactPoint":[{"@type":"ContactPoint","contactType":"sales","url":"https:\/\/skyplanner.ai\/contact-sales\/","areaServed":"Worldwide"},{"@type":"ContactPoint","contactType":"customer support","email":"support@skyplanner.ai","telephone":"+358407000002","areaServed":"Worldwide"}],"sameAs":["https:\/\/www.wikidata.org\/wiki\/Q141672132","https:\/\/skycode.fi\/","https:\/\/www.linkedin.com\/company\/skycodeoy\/","https:\/\/www.finder.fi\/IT-konsultointi+IT-palvelut\/Skycode+Oy\/Vaasa\/yhteystiedot\/1934882"]},{"@type":"Person","@id":"https:\/\/skyplanner.ai\/tr\/#\/schema\/person\/d90eac23cfbf5af3a2c4a38ff10376b5","name":"Jussi M\u00e4ntyl\u00e4","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/secure.gravatar.com\/avatar\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/d5cfcd5c06352082aff699784151984268501dafe5084791a9f280d4e3ec500f?s=96&d=mm&r=g","caption":"Jussi M\u00e4ntyl\u00e4"}}]}},"uagb_featured_image_src":{"full":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png",1672,941,false],"thumbnail":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-150x150.png",150,150,true],"medium":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-300x169.png",300,169,true],"medium_large":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-768x432.png",768,432,true],"large":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-1024x576.png",1024,576,true],"1536x1536":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-1536x864.png",1536,864,true],"2048x2048":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero.png",1672,941,false],"betterdocs-category-thumb":["https:\/\/skyplanner.ai\/wp-content\/uploads\/2026\/10\/process-capability-hero-360x203.png",360,203,true]},"uagb_author_info":{"display_name":"Jussi M\u00e4ntyl\u00e4","author_link":"https:\/\/skyplanner.ai\/tr\/author\/jussi\/"},"uagb_comment_info":0,"uagb_excerpt":"Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in Ana Sayfa &raquo; Kaynaklar &raquo; Proses yeterlili\u011fi: Cp ve Cpk\u2019yi hesaplay\u0131n, harekete ge\u00e7in Proses yeterlili\u011fi, kararl\u0131 bir \u00fcretim prosesinin delik \u00e7ap\u0131 veya dolum a\u011f\u0131rl\u0131\u011f\u0131 gibi belirli bir gereklili\u011fi ne \u00f6l\u00e7\u00fcde kar\u015f\u0131layabildi\u011fini ifade eder. Prosesin do\u011fal de\u011fi\u015fkenli\u011fini spesifikasyon s\u0131n\u0131rlar\u0131yla kar\u015f\u0131la\u015ft\u0131r\u0131r. Cp, yay\u0131l\u0131m\u0131n tolerans aral\u0131\u011f\u0131na ne \u00f6l\u00e7\u00fcde s\u0131\u011fd\u0131\u011f\u0131n\u0131 \u00f6l\u00e7er;&hellip;","_links":{"self":[{"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/posts\/112992","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/comments?post=112992"}],"version-history":[{"count":1,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/posts\/112992\/revisions"}],"predecessor-version":[{"id":113054,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/posts\/112992\/revisions\/113054"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/media\/113007"}],"wp:attachment":[{"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/media?parent=112992"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/categories?post=112992"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/skyplanner.ai\/tr\/wp-json\/wp\/v2\/tags?post=112992"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}