Ọrụ otu robot Ụdị dị ndụ

Ị na-elekọta ala ụlọ nkwakọba ebe ihe dị ka robot 24 na-agagharị n'onwe ha (AMR) na-ebu igbe site n'ụzọ nchekwa gaa n'ọnụ ụlọ nkwakọ cobot anọ. Iwu ọ bụla bụ njem 240 m — 200 m n'ụzọ robot naanị, 40 m n'ebe a na-ekerịta ebe ndị mmadụ na-arụ ọrụ — na nhọrọ n'otu cell. Ụdị a na-agbakọ nkeji site na nkeji ahịrị, mkpọkọ, mkpọchi, ogologo nkwụsị, ike batrị na ike chaja, yana mmetụta ụdị sọftụwia na nkwụsị, site na ụkpụrụ e bipụtara na usoro akwụkwọ ọgụgụ. Ọ bụ ụdị ụkpụrụ ọrụ: ọ naghị agba sọftụwia robot, ọnụọgụgụ ndị a bụ nke izugbe, ọ bụghị nke ngwaahịa ọ bụla. Naanị ịme anwansị agụmakwụkwọ — ezigbo saịtị na-agbaso nyocha ihe ize ndụ nke ha.

Ihe ị ga-amụta

Simulator

Oge 0 min
Robot na-arụ ọrụ 24 · Igbe a kwakọrọ 360/h · Oge ndu iwu 0.0 min · Robot dị njikere 100% · Mpaghara A (robot naanị) 1.5 m/s · Ebe a na-ekerịta 1.0 m/s (Δ 0.27 m) · Nnwere onwe (izere n'otu ebe), Robot rapaara na mkpọchi 0 · Cell cobot 0%, Mmadụ nọ n'ime cell cobot 0 · Chaja 0/6 (Chaja anaghị arụ ọrụ 0), Robot na-eche chaja 0 · Nkezi chaja batrị 67% · v1 24, v2.0 0, v2.1 0 · Nkwụsị kwa awa-robot, build kacha ọhụrụ 0.0/h, Nkwụsị kwa awa-robot, ndị ọzọ n'otu 0.0/h⁨24⁩ · ⁨360/h⁩ · ⁨Robot⁩························⁨✓ 1.5 m/s⁩⁨Mpaghara A (robot naanị)⁩⁨enweghị mmadụ⁩⁨⚠ 1.0 m/s⁩ · ⁨Δ 0.27 m⁩⁨Ebe a na-ekerịta⁩⁨⛔ 0⁩⁨Nnwere onwe (izere n'otu…⁨0%⁩ · ⁨Cell cobot⁩⚙⚙⚙⚙⁨⚡ 0/6⁩ · ⁨⌛ 0⁩ · ⁨Chaja⁩······⁨Sọftụwia: v1 · v2.0 · v2.1⁩⁨v1 24⁩ · ⁨v2.0 0⁩ · ⁨v2.1 0⁩⁨0.0/h kacha ọhụrụ⁩ · ⁨0.0/h ndị ọzọ⁩
  • Na-aga na ọrụ
  • Na cell cobot
  • Na-eche cell
  • Na-anọ efu
  • Na-achaja
  • Na-eche chaja
  • Na-emelite sọftụwia
  • Kwụsịrị (njikọ ma ọ bụ ọmụma ebe ọ nọ)
  • Rapaara na mkpọchi
  • Batrị gwụrụ, a dọkpụrụ
  • Mpaghara na-enweghị mmadụ
  • Ndị mmadụ nọ na mpaghara, ọsọ n'ime mpaghara nchekwa
  • Ọsọ karịrị mpaghara nchekwa ebe ndị mmadụ nọ
  • Mmadụ nọ n'ime cell cobot
  • Chaja anaghị arụ ọrụ

Njikwa

A na-akpọte robot nchekwa site na depot; robot a dọbara adọba anaghị ewe ike ọkụ. Robot ọ bụla na-arụ ọrụ na-efu otu awa-robot kwa awa.

Mpaghara A mechiri emechi nye ndị mmadụ, ya mere robot nwere ike ịgba ọsọ. Ọ bụrụ na ndị mmadụ abanye, ọsọ ga-adaba ọzọ na mpaghara nchọpụta mmadụ.

Ndị mmadụ na-arụ ọrụ ebe a mgbe niile. Ogologo nkwụsị n'ọsọ a ga-adaba n'ime mpaghara nchọpụta mmadụ nke 1.3 m.

Nnwere onwe: robot na-ezere ibe ha naanị n'ebe dị nso — ọ dị ngwa, mana abụọ ma ọ bụ karịa nwere ike igbochi ibe ha kpamkpam. Ndoro mpaghara: robot na-abanye n'ebe ụzọ zutere naanị mgbe a doro mpaghara dị n'ihu ya maka ya — enweghị mkpọchi, obere nchere na ngafe ọ bụla.

Na-ahapụ robot ọ bụla nọ na mkpọchi ugbu a. Ọ na-efu nkeji 2 nke onye ọrụ maka robot ọ bụla a hapụrụ; ọ naghị egbochi mkpọchi ọhụrụ ịmalite.

Robot nke mechara ọrụ na chaja a ma ọ bụ nke dị ala karịa na-abanye n'ahịrị chaja. Ọnụ dị ala na-eji batrị karịa, mana robot nke chere ogologo oge nwere ike ịgwụ ike kpamkpam.

Chaja na-enye ike zuru oke ruo ihe dị ka 70 %; karịa nke ahụ, ọkụ (current) na-ebelata nke nta nke nta. Ịkwụsị n'oge na-ahapụ chaja ngwa ngwa.

Robot na-enweghị ọrụ na-aga na chaja ọ bụla tọgbọrọ chakoo kama ichere n'efu, ma laghachi n'ọrụ ozugbo iwu na-eche ma ha nwere 20 % karịa ọkwa e ji ezipu ịchaja.

Ọsọ ngwá ọrụ mgbe onye ọ bụla anọghị n'ime cell. Igbe nwere ihe 10 na-ewe 25 s na 1 m/s.

Mmachi ike na ike mkpali: aka e jidere megide igbe agaghị enwe mmetụta karịa 140 N (oke quasi-static, nke e ji akpachapụ anya were), nke na-ekwe naanị 0.67 m/s ebe a.

Ịkpali slider ahụ na-ebunye build kacha ọhụrụ e bipụtara n'akụkụ ahụ nke otu robot (robot mbụ n'usoro); ndị fọdụrụ na-agba v1. A na-etinye build e bipụtara mgbe e mesịrị naanị mgbe ị kpaliri slider ahụ ọzọ. Robot ọ bụla gbanwere ụdị na-anọ n'ọrụ efu maka nkeji 4.

Ihe ngosi

Igbe a kwakọrọ
360/h
nkịtị
Oge ndu iwu
0.0min
nkịtị
Robot dị njikere
100%
nkịtị
Oke nkwụsị ebe ndị mmadụ nọ
0.27m
nkịtị
Iwu na-eche0
Oke ọsọ cobot (oke ike na ike mkpali)0.17 m/s
Nkezi chaja batrị67 %
Chaja batrị kacha ala42 %
Robot na-eche chaja0
Robot na-achaja0
Robot batrị gwụrụ (a dọkpụrụ)0
Robot rapaara na mkpọchi0
Mkpọchi malitere0
Nkwụsị ntụgharị ụzọ (njikọ ma ọ bụ ọmụma ebe ọ nọ)0
Nkwụsị kwa awa-robot, build kacha ọhụrụ0.0 /h
Nkwụsị kwa awa-robot, ndị ọzọ n'otu0.0 /h
Otu robot nọ na build kacha ọhụrụ0 %
Otu robot nọ na v2.00 %
Robot na-emelite0
Ọsọ e debere na mpaghara A1.5 m/s
Oge onye ọrụ etinyere na robot0 min
Awa-robot ejiri0 h
Robot na-arụ ọrụ24
Robot na-aga0
Ezigbo ọsọ na mpaghara A1.50 m/s
Nchere n'ngafe ebe ụzọ zutere ọ bụla0.0 s
Ike otu robot na-ewe0.00 kW
Ike chaja e nyere0.00 kW
Cell cobot nwere ọrụ0 %

Ọnọdụ

Igbe a kwakọrọ: — /h6000

Ọnọdụ nsogbu

Ọkwa 1 · Ọkara chaja dara tupu oke iwu

Ọrụ ụtụtụ, robot 24 na-arụ ọrụ, ihe dị ka iwu 3.7 kwa nkeji. Otu robot na-amalite ọrụ ahụ na nkezi 60 % chaja mgbe abalị nwere ọrụ buru ibu gasịrị. Na nkeji 15, nsogbu ọkụ eletrik na-ewepụ chaja anọ n'ime isii maka oge fọdụrụ n'ọrụ ahụ. Na nkeji 90, oke iwu na-amalite (+25 % maka awa abụọ). Mee ka iwu na-aga, banye n'oke ahụ na otu robot chajara, ekwela ka batrị robot ọ bụla gwụ kpamkpam, ma nọrọ n'ime mmefu robot nke ọrụ ahụ.

  • Nkezi oge ndu n'oge oke ahụ na mgbe ọ gasịrị ≤ 3.5 min
  • Otu robot nwere opekata mpe nkezi 49 % chaja mgbe oke ahụ malitere
  • Batrị robot ọ bụla agwụghị
  • Kachasị awa-robot 97 maka ọrụ ahụ
  • Ogologo nkwụsị na-anọ mgbe niile n'ime mpaghara ebe ndị mmadụ nọ
  • Cobot anaghị agba ọsọ karịa oke ike na ike mkpali mgbe mmadụ nọ n'ime

Ọkwa 2 · Otu ụzọ emechie, robot ekpochie ibe ha, ndị ọrụ abanye mpaghara A

Ihe dị ka iwu 4.2 kwa nkeji, robot 24, njikwa okporo ụzọ dị na ịgba n'onwe. Na nkeji 10, a na-emechi otu ụzọ maka ịhazigharị shelf: ebe ụzọ zutere dị ole na ole, nzukọ ihu na ihu karịa, enweghị ụzọ ọzọ. Na nkeji 60, otu ndị ọrụ mmezi na-abanye mpaghara A nke robot naanị maka nkeji 40. Mee ka iwu na-aga na obere oge onye ọrụ, debe ogologo nkwụsị ọ bụla n'ime mpaghara nchekwa ebe ndị mmadụ nọ, ma laghachi mpaghara A n'ọsọ zuru ezu ozugbo ọ dị ọcha.

  • Nkezi oge ndu ≤ 6 min
  • Mpaghara A laghachiri na nkezi ≥ 1.4 m/s mgbe ndị ọrụ ahụ pụrụ
  • Kachasị mkpọchi 1 malitere
  • Kachasị nkeji 20 nke onye ọrụ na robot
  • Ogologo nkwụsị na-anọ mgbe niile n'ime mpaghara ebe ndị mmadụ nọ
  • Cobot anaghị agba ọsọ karịa oke ike na ike mkpali mgbe mmadụ nọ n'ime

Ọkwa 3 · Mwepụta canary nke sọftụwia ntụgharị ụzọ ọhụrụ

A hazigharịrị ụzọ ndị ahụ n'abalị ụnyaahụ, robot nọ na sọftụwia ugbu a (v1) na-atụfu ebe ha nọ ebe ahụ ugboro ugboro; mfu ọ bụla chọrọ onye ọrụ. Mwepụta v2.0 na-edozi nke ahụ ma na-agba ugbu a na 10 % nke otu robot dịka canary. Nye canary ahụ oge zuru ezu iji kpee ya ikpe, tụnyere ya na ndị ọzọ n'otu ahụ, kpebie ma ị ga-agbasa ya ma ọ bụ weghachi ya, ma bute otu robot na build dị mma — n'usoro n'usoro, na-ewepụghị ọtụtụ robot n'ọrụ n'otu oge.

  • Canary hapụrụ ka ọ gbaa n'ime nkeji 12 mbụ (≥ 5 % nke otu robot na v2.0)
  • Pụọ na v2.0 nwere nsogbu site na nkeji 30 ruo 49 (nkezi ≤ 1 % nke otu robot nọ na ya)
  • Hotfix na kacha 20 % nke otu robot n'ime nkeji 10 mbụ ya
  • E wepụtara hotfix ngwa ngwa: na nkezi ≥ 55 % nke otu robot nọ na ya mgbe e bipụtara ya
  • Opekata mpe 90 % nke otu robot nọ na build kacha ọhụrụ na njedebe
  • Opekata mpe 60 % nke robot dị njikere mgbe niile
  • Ogologo nkwụsị na-anọ mgbe niile n'ime mpaghara ebe ndị mmadụ nọ
  • Cobot anaghị agba ọsọ karịa oke ike na ike mkpali mgbe mmadụ nọ n'ime

Ntọala — ụdị dị n'azụ ọnụọgụ

Mmekọrịta ọ bụla simulator na-eji, na isi mmalite ya. Ihe na-agbanwe agbanwe akara dị ka echiche bụ nhazi ngosi.

Iwu Little: iwu niile a na-akwakọbabeghị — ndị na-eche ma ọ bụ ndị nọlarị na robot — kewara site n'ọnụego a na-akwakọba igbe n'ezie na-enye oge ndu.
lead time W = L / X, L = orders waiting + orders on a robot, X = totes packed per minute (smoothed, τ = 10 min)[5]
Ọsọ na-ada ka robot ndị ọzọ na-ekerịta ụzọ (njikọ ọsọ–njupụta kwụ ọtọ nke Greenshields).
v_eff = v · max(0.1, 1 − n_moving / N_jam), N_jam = 120 robots (80 with an aisle closed)[7][9]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Na-enweghị ndoro, robot abụọ nwere ike ichere onye ọ bụla ohere nke ibe ya jidere — nchere gburugburu. Nzukọ na-eto dịka square nke ọnụ ọgụgụ robot na-aga.
free traffic: P(new deadlock in a minute) = 1 − e^(−κ·n_moving²/n_I), κ = 0.00001 (× 300 with an aisle closed, n_I = 6 → 4); a robot behind joins with p = 0.5 (≤ 8); the fleet manager re-plans with p = 0.2/min (0.03/min with no detour)[8][10]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Ndoro mpaghara: robot na-abanye naanị mgbe a doro mpaghara dị n'ihu ya maka ya (ha niile n'otu oge, n'usoro a kapịrị ọnụ), nke na-ewepụ nchere gburugburu; ebe ụzọ zutere ọ bụla na-akpa àgwà dịka ahịrị nwere otu onye na-eje ozi na oge ngafe a kapịrị ọnụ.
zone reservation: a robot enters only when the zones ahead are granted to it → no circular wait; each crossing W = ρτ / (2(1 − ρ)), ρ = λ_I·τ, τ = 2 s, 6 crossings per task[8][6][9]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
N'ebe ndị mmadụ nwere ike ịnọ, ogologo nkwụsị — njem mmeghachi gbakwunyere breeki — ga-adaba n'ime mpaghara nchọpụta mmadụ.
d_stop = v·t_r + v²/(2a) + C ≤ F (t_r = 0.3 s, a = 0.8 m/s², C = 0.1 m, F = 1.3 m ⇒ v ≤ 1.17 m/s where people can be)[1][2]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Mmachi ike na ike mkpali: ọsọ kachasị elu nke mmetụ aka ka na-anọ n'okpuru ike a kwadoro, site na oke mbelata nke aka na robot na isi ike nke aka. A na-eji oke quasi-static ọbụna maka mmetụ dị nkenke, nke bụ ịkpachapụ anya.
v ≤ F / √(μ·k), μ = (1/m_H + 1/m_R)⁻¹, m_R = M/2 + m_L; hand: F = 140 N (quasi-static limit, used conservatively), k = 75 N/mm, m_H = 0.6 kg; M = 24 kg, m_L = 3 kg ⇒ v ≤ 0.67 m/s[3][4]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Igbe na-ewe oge ijide gbakwunyere ịgbatị aka ugboro abụọ maka ihe ọ bụla; mgbe mmadụ nọ n'ime, cobot na-arụ ọrụ n'ọsọ mmekọrịta. A na-eje ozi robot n'usoro ha si erute cell ndị ahụ, sekọnd site na sekọnd n'ime nkeji ọ bụla.
tote time = 10 items × (1.5 s + 2 × 0.5 m / v_cobot); v_cobot = collaborative speed while a person is in the cell; 4 cells, served in order of arrival within the minute[3]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Ike ịgba: ibu eletrọnịkị a kapịrị ọnụ, nguzogide ntụgharị wiil, na ike breeki na-efu na nkwụsị-na-ịmalite ọ bụla.
P = 60 W + C_rr·m·g·v/η + 0.03/m · v · ½mv²·(1 − r)/η (C_rr = 0.012, m = 500 kg, η = 0.75, r = 0.5)[12]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Chaja na-enye ike zuru oke ruo ihe dị ka 70 % chaja, mgbe ahụ ọkụ na-ebelata (ọkụ na-adịgide, emesia volteji na-adịgide).
P_charge = 0.8 kW up to 70 % SoC, then × (1 − 0.9·(SoC − 70)/30); battery 0.8 kWh; stranded at 1 %[11][10]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Robot na-akwụsị mgbe njikọ ya na onye njikwa otu robot dara jụụ karịa watchdog ya; watchdog dị mkpụmkpụ na-ejide ọtụtụ nkwụsị Wi-Fi dị mkpụmkpụ karịa.
P(link silent > W in a robot-minute) = 0.224·e^(−W/0.1 s); watchdog W: v1 0.5 s, v2.0 0.15 s, v2.1 0.5 s; stop 2 min[13]Ụkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.
Ntụnyere canary: nkwụsị kwa awa-robot nke robot nọ na build kacha ọhụrụ ma e jiri ya tụnyere ndị ọzọ n'otu ahụ.
stops per robot-hour, canary vs control: 60·stops / robots (smoothed τ = 10 min); update or rollback = 4 min out of service[13]
Ihe ndị ọzọ na-adịgide adịgide n'ụdị a
task 200 m in zone A + 40 m in the shared area · 6 intersections · 4 cobot cells, a person inside 25 % of minutes · 6 chargers · shift-start charge stratified over mean ± 27.5 % · v1 mislocalises 0.6 % per driving minute in re-racked aisles (others 0.04 %), 6-min stop + 3 operator-min · clearing a deadlock 2 operator-min per robot · tow 15 operator-minỤkpụrụ ngosi, ọ bụghị nke ezigbo saịtị ma ọ bụ ngwaahịa. Ezigbo saịtị na-esetịpụ mpaghara, ọsọ na oke site na nyocha ihe ize ndụ nke ha na data onye nrụpụta.

Enweghị usoro: ihe mmepụta mulberry32 nwere mkpụrụ; nkesa ejiri — uniform, exponential (inverse CDF), normal (Box–Muller), Poisson (Knuth). A na-egosi mkpụrụ ma nwee ike ikekọrịta ya.

Isi mmalite

  1. ISO 3691-4:2023 Industrial trucks — Safety requirements and verification — Part 4: Driverless industrial trucks and their systems (personnel detection, zones, speed) — ISO/TC 110/SC 2, 2023
  2. ISO 13855:2024 Safety of machinery — Positioning of safeguards with respect to the approach of the human body (minimum distance S = K·T + C; replaces the 2010 edition) — ISO/TC 199, 2024
  3. ISO/TS 15066:2016 Robots and robotic devices — Collaborative robots (Annex A: body-region limits; transient contact speed v = F/√(μk), μ = (1/m_H + 1/m_R)⁻¹, m_R = M/2 + m_L) — ISO/TC 299, 2016
  4. ISO 10218-2:2025 Robotics — Safety requirements — Part 2: Industrial robot applications and robot cells (collaborative applications; takes over the ISO/TS 15066 body-region data) — ISO/TC 299, 2025
  5. J. D. C. Little — A Proof for the Queuing Formula: L = λW — Operations Research 9(3):383–387, 1961
  6. M. Harchol-Balter — Performance Modeling and Design of Computer Systems (M/G/1 Pollaczek–Khinchine mean wait; M/D/1) — Cambridge University Press, 2013
  7. B. D. Greenshields — A Study of Traffic Capacity (linear speed–density relation) — Highway Research Board Proceedings 14:448–477, 1935
  8. E. G. Coffman, M. Elphick, A. Shoshani — System Deadlocks (the four necessary conditions; prevention by ordered resource allocation) — ACM Computing Surveys 3(2):67–78, 1971
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  11. BU-409: Charging Lithium-ion (constant current to about 70 % state of charge, then constant voltage while the current tapers) — Battery University
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  13. The Site Reliability Workbook — Ch. 16 Canarying Releases (canary vs control, multi-stage rollout, rollback) — Beyer, Murphy, Rensin, Kawahara, Thorne (eds.), O'Reilly, 2018

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