Kuna tafiyar da aiki ɗaya a wani sashe na layin haɗa mota na ƙarshe: tashoshi biyar a jere tare da ƙananan hanyoyin ajiya a tsakaninsu. Kowace tsayawa tana tafiya sama da ƙasa a layi, kowane lahani ko dai a gyara shi a tasha ko ya wuce gaba, kuma aikin yana da shirin samarwa da za a cim ma.
Abin da za ka koya
Yadda OEE ke raba asara zuwa samuwa, aiki da inganci — da dalilin da yasa wurin da ke jinkirta layi ke ƙayyade fitarwar layi.
Yadda ƙayyadaddun wuraren ajiya ke raba tashoshi (toshewa da yunwa), da kuma abin da wannan kaya ke kashewa a lokacin isarwa (dokar Little).
Dalilin da yasa dakatar da layi lokacin lahani zai iya fi ci gaba da gudu, da kuma dalilin da yasa gudu da sauri ba koyaushe yana nufin ƙarin fitarwa ba.
Na'urar koyi
Lokaci 0 min
▶Yana aiki
‖Yana jin yunwa (babu raka'a)
⧗An toshe (babu fili a ƙasa)
✕Ya lalace
⚑Tsayawar andon
▪Raka'a a hanyar ajiya
Sarrafawa
Kashi na gudun da aka ƙayyade. Zagaye masu sauri suna ƙara fitarwa — da kuma ƙimar lalacewa da lahani.
Raka'o'in da kowace hanya tsakanin tashoshi za ta iya riƙewa. Ƙari yana raba tsayawar, amma yana ƙara aiki mai gudana.
Kowane mai fasaha yana gyara tasha ɗaya; ana fara da wurin da ke jinkirta layi, mai fasaha na biyu yana hanzarta gyara.
Masu aiki suna dakatar da tashar su don gyara lahani a wurin. Yana lakume lokacin aiki — har da tsayawa saboda matsalolin da suka zama ba komai ba — amma yana hana lahani ci gaba.
Ƙungiya ta mutum uku tana gyara raka'o'in da gwajin ƙarshen layi ya kama tsawon awa ɗaya, don a tura su.
Alamomi
OEE
0.0%
mai tsanani
Fitarwa da shiri
100.0%
daidai
Lahani da suka tsere
0
daidai
Aiki mai gudana
13
daidai
Samuwa
100.0 %
Aiki
0.0 %
Ƙimar inganci
100.0 %
Gudu da takt
100 %
Yawan fitarwa
50.0 JPH
Raka'o'i a gaba (+) / a baya (−) da shiri
0
Lokacin isarwa ta layi
16 min
Raka'o'in da ke jira a wurin gyara
0
Sa'o'in aiki ga kowace raka'a
0.00 h
Tashoshi da suka tsaya
0
Wurin jinkiri ba ya aiki (yunwa ko toshe)
0.0 %
Yanayi
Yanayin rikici
Mataki 1 · Kare bottleneck ta tsayawar sama da shi
Tsari: raka'o'i 50 a kowace sa'a don rabin aiki na sa'o'i huɗu. Tasha ta 3 ita ce bottleneck na layi kuma akwai ma'aikacin gyara ɗaya kawai a aiki. Sashen gyara ya ba da rahoton cewa wani sashe da ya lalace a tasha ta 2 — daidai gaban bottleneck — dole a maye shi a minti na 35: aikin minti 40 ga ma'aikaci ɗaya.
Fitarwa ≥ 101 % na tsari a ƙarshen rabin aiki
Bottleneck ba ya aiki ≤ 7 % na lokaci
Matsakaicin aiki mai gudana ≤ raka'o'i 18
Mataki 2 · Karkacewar inganci a tashar kayan ado na ciki
Tsari: raka'o'i 52 a kowace sa'a don rabin aiki na sa'o'i huɗu, kuma raka'o'i goma daga aikin da ya gabata har yanzu suna jiran a wurin gyara. Mintuna ashirin bayan fara, matsalar ɗaurewa ta bayyana a tasha ta 4: kusan raka'a ɗaya a cikin takwas tana fita da lahani. Gwajin ƙarshen layi yana kama mafi yawansu — ba duka ba.
Ba fiye da lahani 1 ba da zai tsere zuwa abokin ciniki
Fitarwa ≥ 104 % na tsari a ƙarshe (raka'o'in da aka gyara daga baya-baya ana ƙirga su)
Ba fiye da raka'o'i 3 da suka rage a wurin gyara ba
Matsakaicin aiki mai gudana ≤ raka'o'i 16
Mataki 3 · Tashin buƙata
Layin yana gudu a 80 % na gudu don tsarin raka'o'i 47 a kowace sa'a. Mintuna ashirin cikin rabin aiki, sashen tallace-tallace ya ɗaga tsari zuwa raka'o'i 56 a kowace sa'a — lokacin takt ya ragu daga kusan 1.28 zuwa mintuna 1.07, kuma bottleneck ba zai iya ci gaba a 80 % ba. Ba a yarda da aikin kari ba.
Fitarwa ≥ 102 % na tsari bayan sa'o'i biyu
Fitarwa ≥ 103 % na tsari a ƙarshen rabin aiki
Ba fiye da lahani 1 da ya tsere zuwa ga abokin ciniki ba
Matsakaicin aiki mai gudana ≤ raka'o'i 20
Tushe — samfurin da ke bayan lambobin
Kowace alaƙa da na'urar koyi ke amfani da ita, tare da tushenta. Ƙayyadaddun ƙimomin da aka yi wa alama a matsayin zato daidaitawa ne na misali.
OEE yana ninka samuwa, aiki da inganci, ana auna shi a wurin da ke jinkirta layi; yana daidai da lokacin zagaye na manufa × raka'o'i masu kyau ÷ lokacin da aka tsara.
OEE = A × P × Q; A = (T_plan − T_stop)/T_plan, P = CT_ideal · N_bn / (T_plan − T_stop), Q = N_first-pass / N_out; OEE = CT_ideal · N_good / T_plan when N_bn = N_out[1][2]Lissafin yana daidai da lokacin zagaye na manufa × raka'o'i masu kyau ÷ lokacin da aka tsara ne kawai idan fitarwar bottleneck ta yi daidai da fitarwar layi; raka'o'in da har yanzu suke tsakanin tasha ta 3 da ƙarshen layi suna kawo ɗan bambanci.
Tasha tana mika raka'a gaba ne kawai idan wurin ajiya na gaba yana da fili (in ba haka ba an toshe ta) kuma tana farawa ne kawai idan wurin ajiya na baya yana da raka'a (in ba haka ba tana jin yunwa).
station i: cycle = c_i / v; moves on iff buffer_i < K (else blocked); starts iff buffer_{i−1} > 0 (else starved)[3][4]
Layi ba zai taɓa gudu da sauri fiye da tashar da ta fi jinkiri ba; lokacin takt shi ne lokacin da ake da shi da aka raba da buƙata.
r_line ≤ r_b = v / max_i c_i; takt = available time / demand = 60 / plan [min/unit][5][7]
Damuwar gudu: asarar da gudu ke haddasawa tana ƙaruwa ba tare da iyaka ba yayin da layi ke kusantar iyakar kayan aikinsa da masu aiki (105 % na gudun da aka ƙayyade).
σ_n(v) = ((1.05 − 0.85) / (1.05 − v))^n (σ = 1 at 85 %; σ_1: 2× at 95 %, 4× at 100 %; σ_2: 4× at 95 %, 16× at 100 %)Zato: lokutan zagaye, lokutan lalacewa da gyara, ƙimar lahani da tsayawar ƙarya, dokar damuwar gudu da girman ƙungiyoyi ƙimomi ne na misali, ba bayanai daga ainihin masana'anta ba.
Tashoshi suna lalacewa ne kawai yayin aiki, kuma sau da yawa idan layin yana gudu kusa da iyakarsa; lokacin gyara yana raguwa idan ma'aikaci na biyu ya shiga.
P(fail in Δt) = 1 − exp(−λ_i · t_work), λ_i = σ_1(v) / MTBF_i; repair work ~ Erlang-3(mean MTTR_i), done at rate 1 + 0.6·(n−1), n ≤ 2[4][1]Zato: lokutan zagaye, lokutan lalacewa da gyara, ƙimar lahani da tsayawar ƙarya, dokar damuwar gudu da girman ƙungiyoyi ƙimomi ne na misali, ba bayanai daga ainihin masana'anta ba.
Lahani suna ƙaruwa da gudu da tsauri fiye da lalacewa. Tare da andon ana kama mafi yawan lahani a tasha a gyara, a kan farashin gajerun tsayawa (wasu ƙararrawar ƙarya ne); in ba haka ba gwajin ƙarshen layi yana kama wasu kuma sauran su tsere.
p_i = p0_i · σ_2(v) (+0.12 excursion at S4); andon: detect 90 %, stop 1.5 min, fix; false stops 0.3 % · σ_2(v) per unit and station; end-of-line test catches 70 %[7][1]Zato: lokutan zagaye, lokutan lalacewa da gyara, ƙimar lahani da tsayawar ƙarya, dokar damuwar gudu da girman ƙungiyoyi ƙimomi ne na misali, ba bayanai daga ainihin masana'anta ba.
Dokar Little: matsakaicin lokaci ta layi daidai yake da aiki mai gudana a raba da yawan fitarwa.
Sauran ƙayyadaddun ƙimomin aiki da samfurin ke amfani da su.
cycle c = 0.62/0.64/0.90/0.75/0.72 min at rated speed (S3 = bottleneck) · MTBF 120/100/200/110/150 min of work, MTTR 4/4/3/4/3 min at 85 % speed · S2 part replacement 40 technician-min · p0 = 0.15/0.15/0.2/0.2/0.05 % per unit · excursion contained after 3 andon pulls or 15 units caught at test · rework 4 min/unit, team of 3 for 1 h per call · 40 line operators · moving averages over 30 minZato: lokutan zagaye, lokutan lalacewa da gyara, ƙimar lahani da tsayawar ƙarya, dokar damuwar gudu da girman ƙungiyoyi ƙimomi ne na misali, ba bayanai daga ainihin masana'anta ba.
Rashin tsari: mai samar da mulberry32 mai iri; rarrabawar da aka yi amfani da su — uniform, exponential (inverse CDF), normal (Box–Muller), Poisson (Knuth). Ana nuna iri kuma ana iya raba shi.
Tushe
S. Nakajima — Introduction to TPM: Total Productive Maintenance (OEE = availability × performance × quality; six big losses) — Productivity Press, 1988
J. A. Buzacott, J. G. Shanthikumar — Stochastic Models of Manufacturing Systems (flow lines with finite buffers, blocking, starvation) — Prentice Hall, 1993