Riba:
- Ikon fassara sigogin sarrafawa (X-bar/R, p, c) da fihirisar iya aiki (Cp, Cpk)
- Ikon haɓaka dubawa da bayar da rahoton siginar da ba a sarrafa su ba (Dokokin Western Electric) tare da AI
- Ikon tabbatar da fassarar ƙididdiga ta AI tare da ɗanyen bayanai da gaskiyar tsari na zahiri
Ba a "daidaita" inganci ta hanyar dubawa, ana "samar" ta hanyar tsari. Ƙididdiga Tsarin Ƙididdiga (SPC) yana nufin yin haka: saka idanu akan tsari a ainihin lokaci da kama sigina kafin kurakurai su zama samfur. Ƙarfin SPC ya ta'allaka ne a bambance na halitta (sakamakon gama gari) sãɓãwar launukansa daga rashin daidaituwa (sakamakon musamman) sãɓãwar launukansa. A cikin wannan yanki, AI yana haɓaka fassarar taswirar sarrafawa, bincika ƙa'idodi, da bayar da rahoton ƙwarewa; amma aikin ɗan adam ne ya haɗa fassarar ƙididdiga tare da gaskiyar tsarin jiki. A cikin wannan rukunin, za mu rufe sigogin sarrafawa, fihirisar ƙwarewar Cp/Cpk da rawar da ta dace na AI a cikin SPC.
Fuskoki Biyu na Sauyawa
Kowane tsari ya ƙunshi sauye-sauye. SPC ta raba wannan bambancin zuwa biyu:
- Dalilan gama gari: Bazuwar, canjin tsinkaya da ke tattare da tsarin. Tsarin yana "ƙarƙashin sarrafawa".
- Dalili na musamman: Wani abu na waje, abin da za'a iya sanyawa (karyewar kayan aiki, canjin tsari na albarkatun ƙasa, canjin saiti). Tsarin yana "ba a sarrafawa".
Manufar ginshiƙi kawai shine don raba su biyun. Amsa ga juzu'i na gama-gari (saman daidaitawa / "tampering") a haƙiƙa yana ƙara sauye-sauye. Deming's classic "gwajin mazurari" yana nuna wannan: shiga tsakani a kowane karkata yana sa abubuwa su yi muni.
Tukwici: Kada ku taɓa rikice iyakokin sarrafawa (UCL/LCL) tare da iyakoki (bayani) haƙuri. Iyakokin sarrafawa sune "murya" na tsari (ƙididdiga daga bayanai); Iyakar haƙuri shine "muryar" abokin ciniki (ya fito daga zane). AI wani lokaci yana rikitar da waɗannan; Ka bayyana wanne kake magana akai a kowane sharhi.
Nau'in Taswirar Sarrafa
An zaɓi ginshiƙi bisa ga nau'in bayanai.
Zane-zane
Nau'in bayanai
misali
X-bar/R
Ci gaba (ma'auni), rukuni
Matsakaicin diamita na shaft da sharewa
X-bar/S
Ci gaba, babban rukuni
Ciko nauyi
I-MRI
Ci gaba, ma'auni guda ɗaya
Ma'auni ɗaya a kowace rana
p/np
Mai hankali, ƙarancin ƙima/lamba
Ƙimar sassa mara kuskure
c/ku
Mai hankali, adadin lahani
Lalacewar kowace naúrar
A kan ginshiƙi na X-bar/R, ana ƙididdige iyakokin sarrafawa daga matsakaicin rukunin rukuni da taƙaitawa:
UCL_xbar = X-biyu-bar + A2 × R-barLCL_xbar =
Wuce Siginonin Gudanarwa (Dokokin Lantarki na Yamma)
Batun fita daga iyaka ba shine sigina kaɗai ba. Dokokin Western Electric (Nelson) kuma suna ɗaukar alamu:
- Wani batu yana waje 3σ (babu iyakoki).
- A jere maki 2/3 bayan 2σ (a gefe guda).
- 4/5 a jere maki fiye da 1σ.
- maki 8 a jere a gefe guda na layin tsakiya (matsayi).
- Dige 6 koyaushe yana ƙaruwa / raguwa (yanayin).
Matsayi: Kai ƙwararren injiniya ne a cikin SPC. Aiki: Bincika ƙimar X-bar masu zuwa tare da dokokin Western Electric bisa ga UCL / LCL da aka bayar da layin tsakiya. Ga kowane siginar rashin kulawa: lambar ƙa'ida, wacce ke nunawa, yiwuwar fassarar jiki, da shawarar bincike. Cibiyar = 50.2 UCL=52.1 LCL=48.3 σ=0.63Bayani (an yi oda): {{ dabi'u}} Dokokin: Kada ku samar da siginar zato; Alamar maki waɗanda ba su cika cika ƙa'idar ba. Gabatar da dalilai masu yiwuwa a matsayin "hasashen", kar a rubuta cikin madaidaicin harshe.
AI yana yin wannan nuni cikin sauri, amma ku tuna: tanadin doka shine faɗakarwa na ƙididdiga; Binciken filin ya gano ainihin dalilin. AI na iya cewa "wataƙila kayan aiki"; Ma'aunin kayan aiki ne ke tabbatar da hakan.
Ƙarfin aiki: Cp da Cpk
Ko da tsarin yana ƙarƙashin iko, shin ya dace da haƙurin abokin ciniki? Fihirisar isarwa sun faɗi wannan.
Cp = (USL - LSL) / (6σ) → ma'auni kawai yadaCpk = min [(USL - μ) / (3σ), (μ - LSL) / (3σ)] → ya hada da tsakiya
Misali: USL = 10.5; LSL = 9.5; μ = 10.1; σ = 0.1.
Cp = (10.5 - 9.5) / (6 × 0.1) = 1.0 / 0.6 ≈ 1.67Cpk = min [(10.5 - 10.1) / 0.3, (10.1 - 9.5) / 0.3] = min [0.4/0.3] = min [0.4/0.3] 2.0] = 1.33
Cp = 1.67 yana nuna kyakkyawan yadawa, amma Cpk = 1.33 ya gaya mana cewa tsarin yana kashe tsakiya (matsakaicin 10.1, kusa da USL fiye da manufa 10.0). Cpk <Cp koyaushe yana nuna matsala ta tsakiya. Ko da tsari tare da tarwatsawa mai kyau zai samar da samfurin da ba daidai ba idan an daidaita shi ba daidai ba.
Rauni Mai Sauƙi / Ƙarfi Mai ƙarfi
Rawanin faɗakarwa:
Shin wannan tsari yana da kyau?
Babu ma'auni na "mai kyau"; AI kawai yana yin zato na gaba ɗaya.
Ƙarfi mai ƙarfi:
Yi ƙididdige Cp da Cpk tare da bayanan auna masu zuwa (USL=10.5, LSL=9.5). Yi lissafin σ da ma'ana daga bayanai, nuna dabara da kowane mataki. Idan Cpk <Cp, tambayi ko yana tsakiya ko yadawa, sharhi. Hakanan ƙididdige ƙimar kusan kuskure (ppm) na tsari kuma rubuta abubuwan da kuke zato. Bayanai: {{...}}
Mini Case: Kyakkyawan CP, Samfur mara kyau
A kan layin cikawa, yawancin kwalabe suna fitowa daga ƙayyadaddun bayanai, amma tsarin yana bayyana "kwanciyar hankali" akan ginshiƙi mai sarrafawa. Injiniyan masana'antu Yağmur yana ba da bayanan ga AI kuma yana da lissafin Cp da Cpk: Cp = 1.5 (kyakkyawan yadawa) amma Cpk = 0.7 (bai isa ba). Bambanci shine cewa matsakaita ya canza sosai daga manufa. AI yana nuna matsala ta tsakiya; Yana duba saitin bawul ɗin cika ruwan ruwan sama kuma lallai ya sami matsala. Lokacin da kuka gyara saitin, Cpk yana ƙaruwa zuwa 1.4 kuma sharar gida tana raguwa. Darasi mai mahimmanci: tsarin zai iya zama "kwanciyar hankali" (a karkashin kulawa) amma har yanzu ya kasance "rashi" (ba takamaiman bayani ba). AI ya nuna wannan bambanci a lamba; Yağmur ne ya gano tushen dalilin a filin.
Kuskuren gama gari
- Gudanar da rikicewa da iyakacin haƙuri: Daidaita iyakokin sarrafawa tare da haƙurin abokin ciniki.
- Dalili na gama gari: Daidaita ga kowane juyi da haɓaka sauye-sauye.
- Yin watsi da Cpk: Kallon Cp kawai da rasa batun tsakiya.
- Kuskure siginar AI don shaida: Rashin tabbatar da dalilin siginar Lantarki ta Yamma a cikin filin.
- Zaɓin ginshiƙi mara kyau: Aiwatar da ci gaba da ginshiƙi na bayanai (X-bar) don ƙarancin ƙimar ƙimar.
A takaice
- Mahimmancin SPC shine ya raba na kowa da kuma bambancin dalili na musamman; Tsangwama tare da al'amuran gama gari yana da illa.
- Iyakoki na sarrafawa sun fito daga tsari, iyakokin haƙuri sun fito daga zane; Bai kamata su biyun su ruɗe ba.
- Zaɓi ginshiƙi wanda ya dace da nau'in bayanai (X-bar/R, p, c...) kuma nemi tsari tare da dokokin Western Electric.
- Cp matakan yadawa da Cpk matakan tsakiya; Cpk <Cp yana nuna matsala ta tsakiya.
- AI yana haifar da siginar ƙididdiga da sauri; Binciken filin ya tabbatar da dalilin, yanke shawara ya rage ga injiniya.
Aikin aikace-aikace
Ɗauki aƙalla ma'auni 20 masu ci gaba daga tsari (na gaske ko almara) kuma ƙayyade ƙimar USL/LSL. Shin AI ta ƙididdige Cp da Cpk tare da wannan bayanan; Yi σ da ma'anar ƙididdigewa daga bayanan kuma nuna kowane mataki. Tabbatarwa mai mahimmanci: Sake ƙididdige ƙimar σ, Cp, da Cpk a cikin Excel ko Python kuma kwatanta da fitowar AI. Sannan bincika bayanan tare da dokokin Western Electric kuma ku tambayi "ta yaya zan tabbatar da wannan a cikin filin?" ga kowane sigina da aka samu. Amsa tambaya. A ƙarshe, idan Cpk <Cp, yanke shawara ko ya kamata a gyara tsakiya ko yadawa da farko.