WIA SOOM Simulators

I-logistics yezokuvikela nokulungela Imodeli ephilayo

Inethiwekhi yokugcina evamile ezingeni lemfundiso yomphakathi nezincwadi zokufunda: amapulatifomu avamile angu-24, amaqembu okulungisa angu-8, inqolobane yokuphakela ondliwa ngamakhonvoyi, inethiwekhi yomsakazo enamashaneli angu-12 nezindawo zezenzi ezinhlanu. Akukho sistimu, iyunithi noma umsebenzi wangempela omodelwayo — lolu ucwaningo lokusebenza olungemuva kokulungela.

Okuzofunda

Isilingisi

Isikhathi 0 h
Ukutholakala kokusebenza 100% · Izinsuku zokuphakela 3.2 · Ukuhlanganisa ukuqapha 95% · Ukuvalwa kwamakholi abalulekile 0.9%✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓✓Isitoko senqolobane 500 · 3.2 d 📡 12 ch · 0.9%
  • Lilungele inhloso
  • Ekulungisweni
  • Kulindele izingxenye
  • Ukuhlanganisa kwezenzi

Izilawuli

Amahora okusebenza epulatifomu ngalinye ngosuku. Izinga eliphezulu, ukwehluleka nophethiloli okwengeziwe.

Kwangu-8 amaqembu okulungisa; asele asebenza kumapulatifomu.

Thatha ingxenye epulatifomu esilindele kakade izingxenye. Kusheshe, kodwa kuphinda kabili umsebenzi.

Amahora phakathi kwamakhonvoyi okuphakela (umthwalo ommiselwe ikhonvoyi ngayinye).

Ibanga likhula ngempande yesine yamandla; ukusetshenziswa kukaphethiloli kukhula ngokulandelana.

Amakholi avamile awakwazi ukuthatha ashaneli lokugcina elikhululekile elingu-r.

Ibhukha ukuthunyelwa okubalulekile okukodwa: kuze kufike ama-oda avulekile angu-4 afika kungakapheli amahora angu-24. Kungaba nokuthunyelwa okukodwa kuphela emoyeni ngesikhathi esisodwa, futhi ngakunye kubalwa kwisabelomali sezokuthutha.

Wengeza amashaneli angu-4 ngemva kwamahora angu-3 okumisa; kusebenzisa uphethiloli omncane.

Izikhombisi

Ukutholakala kokusebenza
100%
kuvamile
Izinsuku zokuphakela
3.2d
kuvamile
Ukuhlanganisa ukuqapha
95%
kuvamile
Ukuvalwa kwamakholi abalulekile
0.9%
kuvamile
Kulindele izingxenye0
Ekulungisweni0
Izingxenye ezisele ezikhona6
Izingxenye ezi-odiwe0
Ama-oda asalele (izingxenye ezikweletwayo)0
Ukuthunyelwa okubalulekile okusetshenzisiwe0
Ukuthunyelwa okubalulekile okusendleleni (amahora asele)0 h
Isitoko senqolobane500 u
Ukuvalwa kwamakholi avamile0.9 %
Amahora okusebenza esithuthi0.0 h
Izindawo zezenzi ezisebenzayo5

Isitayela

Ukutholakala kokusebenza: — %1000

Izimo eziphuthumayo

Izinga 1 · Ukukhuphuka kokulungela

Umkhuba wokuziqeqesha wenza isidingo samahora okusebenza sibe ngaphezu kokuphindwe kabili izinsuku ezine. Izingxenye ezisele ziyingcosana, ukuphakela okujwayelekile kuthatha izinsuku ezine, futhi isabelomali sezokuthutha sikhokhela ukuthunyelwa okubalulekile okubili. Letha amahora ngaphandle kokonakalisa ukulungela, ukuqongelela ama-oda asalele noma ukuminyanisa inethiwekhi yomsakazo.

  • Okungenani amahora angu-790 okusebenza esithuthi ngesikhathi sokukhuphuka
  • Ukutholakala kokusebenza okumaphakathi ≥ 86 % kusukela ehoreni 30
  • Ama-oda asalele amaphakathi ≤ 2 phakathi nosuku lokugcina
  • Ukuthunyelwa okubalulekile okungeqi ku-2 (isabelomali sezokuthutha)
  • Ukuvalwa okubalulekile okumaphakathi ≤ 2 %
  • Ukuvalwa okuvamile okumaphakathi ≤ 35 %

Izinga 2 · Indlela yokuphakela ivaliwe

Isikhukhula sivala umgwaqo owodwa oya enqolobaneni amahora angu-60. Amakhonvoyi ayaqoqana ngemuva kwawo. Yenza isitoko sihlale ngaphandle kokuvumela ukuhlanganisa ukuqapha kuwe.

  • Inqolobane ayikaze ize (umkhawulo oqinile)
  • Ukuhlanganisa ukuqapha okumaphakathi ≥ 89 %
  • Okungenani amahora okusebenza emishini angu-60 ngaphambi kokuba umgwaqo unqanyulwe
  • Okungenani amahora angu-440 okusebenza esithuthi isiyonke
  • Okungenani amahora okusebenza angu-255 ngemva kokuba umgwaqo uvulwe kabusha

Izinga 3 · Ukuphazamiseka komsakazo namaphutha ezenzi

Ukuphazamiseka kucima isigamu samashaneli omsakazo. Ngemva kwamahora ayishumi nambili izindawo zezenzi ezimbili ziyahluleka. Gcina ithrafikhi ebalulekile ihamba futhi ubuyise ukuhlanganisa.

  • Ukuvalwa okubalulekile okumaphakathi ≤ 3 %
  • Ukuhlanganisa okumaphakathi ≥ 88 % ngemva kwephutha lesenzi
  • Ukuvalwa okuvamile okumaphakathi ≤ 40 % (ungayivali ngokuphelele ithrafikhi evamile)
  • Ukutholakala kokusebenza okumaphakathi ≥ 80 %

Isisekelo — imodeli engemuva kwezinombolo

Wonke ubudlelwano isilingisi esibusebenzisayo, nomthombo wabo. Izinto ezihlala zingashintshi ezimakwe njengokuthathelwa yizilinganiso zesibonelo.

Ukutholakala kokusebenza: ingxenye yesikhathi isistimu ilungile, kuhlanganise nokubambezeleka kwe-logistics.
Ao = uptime / (uptime + downtime) ≈ MTBF / (MTBF + MTTR + MLDT)[1][2]
Amapulatifomu ahluleka ngokungahleliwe ngesikhathi esiya ekwehluleni se-exponential ngenkathi esebenza.
P(fail during h operating hours) = 1 − e^(−h/MTBF), MTBF = 40 h[2]Okuthathelwa: i-MTBF, ithuba lengxenye, amazinga okushisa nethrafikhi yizinombolo zokuhlela ezijwayelekile, hhayi idatha yanoma iyiphi isistimu yangempela.
Umbono wePalm: ngokuphakela kwesisodwa-ngesisodwa, izingxenye epayipini zilandela ukusabalalisa kwe-Poisson.
pipeline ~ Poisson(mean = demand rate × lead time); backorders = (pipeline − S)⁺[4][3]
Ukulungiswa kulinda emgqeni osetshenzwa inani elimisiwe lamaqembu.
c teams serve the maintenance queue (M/M/c); site teams + fleet teams = 8[9]Okuthathelwa: i-MTBF, ithuba lengxenye, amazinga okushisa nethrafikhi yizinombolo zokuhlela ezijwayelekile, hhayi idatha yanoma iyiphi isistimu yangempela.
Izinsuku zokuphakela: ukuthi inqolobane ihlala isikhathi esingakanani ngokusetshenziswa kwanamuhla.
DOS = stock / daily consumption[10]Izinsuku zokuphakela ukulinganisa kokuhlela okusetshenziswa kumfundiso yokugcina; isilinganiso uqobo luwumbalo olula.
Ukuvalwa kwe-Erlang B, nokwandiswa kwayo okuqondile uma amashaneli egodliwe ithrafikhi ebalulekile.
B(0)=1, B(k) = A·B(k−1) / (k + A·B(k−1)); with reservation r: exact birth–death chain[5][6]
Ukulingana kwebanga lerada: ibanga lokutholwa likhula ngempande yesine yamandla adluliswayo.
R ∝ P^(1/4) ⇒ πR² ∝ √P[7]
Ezinye izinto ezihlala zingashintshi zokuhlela ezisetshenziswa imodeli.
MTBF 40 operating h · part needed 40 % · repair Exp(6 h) · sites MTBF 300 h, repair Exp(8 h) · convoy 200 u · burn 1 u per operating h + 0.5 u/h per site at full power · relay +4 channels after 3 h · priority shipment: ≤ 4 open orders, lands within 24 h, one in flight at a time · ≥2 channels always open to routine trafficOkuthathelwa: i-MTBF, ithuba lengxenye, amazinga okushisa nethrafikhi yizinombolo zokuhlela ezijwayelekile, hhayi idatha yanoma iyiphi isistimu yangempela.
Imodeli yokuhlanganisa ye-Boolean: ithuba lokuthi iphoyinti libonwe okungenani yisenzi esisodwa kwezimbalwa.
coverage = 1 − exp(−Σ πR_i² / A)[8]Okuthathelwa: i-MTBF, ithuba lengxenye, amazinga okushisa nethrafikhi yizinombolo zokuhlela ezijwayelekile, hhayi idatha yanoma iyiphi isistimu yangempela.

Ukungahleliwe: i-generator ye-mulberry32 enembewu; ukusabalalisa okusetshenzisiwe — uniform, exponential (inverse CDF), normal (Box–Muller), Poisson (Knuth). Imbewu iyabonisa futhi ingabelwana.

Imithombo

  1. DoD Reliability, Availability, Maintainability, and Cost Rationale Report Manual (operational availability Ao) — U.S. Office of the Secretary of Defense, 2009
  2. MIL-HDBK-338B Electronic Reliability Design Handbook (exponential failure model, availability) — U.S. DoD, 1998
  3. C. C. Sherbrooke — METRIC: A Multi-Echelon Technique for Recoverable Item Control (Palm’s theorem, expected backorders) — Operations Research 16(1), 1968
  4. C. Palm — Analysis of the Erlang traffic formulae for busy-signal arrangements (Palm’s theorem on (S−1,S) pipelines) — Ericsson Technics No. 4, pp. 39–58, 1938
  5. ITU-D Study Group 2 — Teletraffic Engineering Handbook: Erlang B recursion E_x = A·E_(x−1)/(x + A·E_(x−1)); Erlang C — ITU, 2002
  6. F. P. Kelly — Loss Networks (trunk reservation) — Annals of Applied Probability 1(3), 1991
  7. MIT Lincoln Laboratory — Introduction to Radar Systems, Lecture 2: radar range equation S/N = P_t G² λ² σ / ((4π)³ R⁴ k T_s B_n L) — MIT Lincoln Laboratory
  8. P. Hall — Introduction to the Theory of Coverage Processes (Boolean model: vacancy = e^(−λ·E|disc|)) — Wiley, 1988
  9. D. Gross, C. M. Harris — Fundamentals of Queueing Theory (M/M/c, machine-repair models) — Wiley, 2008
  10. U.S. Army FM 4-0 Sustainment Operations — sustainment planning concepts (days of supply as a planning measure) — Headquarters, Department of the Army, 2026

Obani abenza lokhu ukuze baziphilise

Imodeli yemfundo — hhayi yezinqumo zokusebenza. Izindawo zangempela zilinganisa yonke into ehlala ingashintshi kumishini nedatha yazo.