Isikhungo se-logistics sochungechunge olubandayo Imodeli ephilayo

Uqhuba idokhi nesitolo esibandayo sesikhungo sokusabalalisa impahla ezwela izinga lokushisa njengemigomo. Isicabha ngasinye esivuliwe sivumela umoya ofudumele ukungena, ilori ngalinye emugqeni liyimpahla elindile, futhi umkhiqizo kufanele uhlale phakathi kuka-2 °C no-8 °C.

Okuzofunda

Isilingisi

Isikhathi 0 min
Izinga lokushisa lomkhiqizo 5.0 °C · Amalori alindile 0 · Isikhathi sokulinda kwelori 0 min❄ 5.0 °C · 📦 5.0 °C · ⚡ 0.0 kW···✕✕✕🚚 0 · ⏱ 0 min
  • Isicabha asisebenzi
  • Iyehlisa (isicabha sivuliwe)
  • Ilori lilindile
  • I-reefer ehlulekile

Izilawuli

Isicabha ngasinye esinabasebenzi sehlisa ilori elilodwa ngesikhathi — futhi sivumela umoya ofudumele ukungena ngenkathi sivulekile.

Ngaphakathi kwebhande lika-2–8 °C. Eliphansi linikeza isivikelo esengeziwe kodwa lisebenzisa amandla amaningi.

Ama-compressor amabili, ngalinye lipholisa i-40 kW.

Anciphisa ukungena komoya ofudumele ngezicabha ezivuliwe; amafeni asebenzisa amandla athile.

Ihambisa ilori elinegatsha lokubanda elehlulekile ekuqaleni komugqa.

Izikhombisi

Izinga lokushisa lomkhiqizo
5.0°C
kuvamile
Isikhathi sokulinda kwelori
0min
kuvamile
Ukwehla kwezinga lokushisa
0.00°C·h
kuvamile
Impahla ye-reefer ehlulekile
4.0°C
kuvamile
Umoya wegumbi elibandayo5.0 °C
Isikhathi sabasebenzi (amahora-sicabha anabasebenzi)0.5 h
Amalori alindile0
Ukusetshenziswa kwedokhi0 %
Amandla okupholisa0.0 kW

Isitayela

Izinga lokushisa lomkhiqizo: — °C14.00.0

Izimo eziphuthumayo

Izinga 1 · Ukwehluleka kwe-compressor ngosuku olushisayo

33 °C ngaphandle, amalori efika ngokungaguquki, izicabha ezine zivuliwe zokwehlisa. Elilodwa lama-compressor amabili seliqala ukuhluleka. Gcina imigomo ngaphakathi kuka-2–8 °C.

  • Umkhiqizo akukaze udlule 8 °C
  • Umoya wegumbi elibandayo awukaze weqe isixwayiso sangaphambili esingu-7 °C (isilungiselelo sendawo — okuthathelwa)
  • Ukulinda okumaphakathi kwelori ≤ 60 min

Izinga 2 · Ukuphakama kwamaholidi

Emahoreni amane osuku lokusebenza lwamahora angu-14, kuqala ukuphakama kwamaholidi: amahora ayisikhombisa, kufika amalori angu-7 ngehora ngezikhathi ezibhukiwe — ngaphezu kokuphindwe kabili kwangu-3 ojwayelekile — futhi izicabha ezintathu kuphela ezinabasebenzi. Abashayeli ababhukile banezikhathi ezibekiwe, ngakho ukulinda okumaphakathi kufanele kuhlale kungu-20 imizuzu noma ngaphansi. Amaqembu engeziwe edokhi alindile ukubizwa, kodwa isabelomali sesikhathi esengeziwe sikhokhela amahora-sicabha anabasebenzi angu-68 osukwini. Vula izicabha ezanele ngesikhathi — ngaphandle kokupheka igumbi elibandayo intambama engu-33 °C.

  • Ukulinda okumaphakathi kwelori ≤ 20 min kusukela ekuphakameni kuqhubeke (izikhathi ezibhukiwe — umkhawulo oqinile)
  • Umkhiqizo akukaze udlule 8 °C
  • Amandla okupholisa amaphakathi ≤ 55 kW
  • Isikhathi sabasebenzi ≤ amahora-sicabha angu-68 (isabelomali sesikhathi esengeziwe — okuthathelwa)

Izinga 3 · Ukwehluleka kwe-reefer egcekeni

Amalori ayishumi nambili asevele alindile futhi izicabha ezimbili kuphela ezinabasebenzi. Ngemva kwalokho iyunithi yokupholisa yelori elisemuva emugqeni iyafa — ekushiseni okungu-35 °C.

  • Impahla ye-reefer ehlulekile akukaze idlule 8 °C
  • Umkhiqizo wesitolo akukaze udlule 8 °C
  • Ukulinda okumaphakathi kwelori ≤ 90 min

Isisekelo — imodeli engemuva kwezinombolo

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

Ibhalansi yokushisa yegumbi elibandayo: izindonga nezicabha ezivuliwe zingenisa ukushisa, ukupholisa kukukhipha.
C · dT/dt = UA·(T_out − T) + Q_door − Q_refrig[3][2]Okuthathelwa: isisindo sokushisa, ukuqhutshwa kodonga nesicabha, usayizi we-compressor nesikhathi sokusebenzela yizinani zesibonelo.
Ukungena komoya ngezicabha kukhula ngenani lezicabha ezivuliwe nomehluko wezinga lokushisa; amakhethini omoya awancishisa.
Q_door = n_open · 0.6 · 1.2 kW/K · (T_out − T) · (1 − 0.7·curtain)[2]Okuthathelwa: isisindo sokushisa, ukuqhutshwa kodonga nesicabha, usayizi we-compressor nesikhathi sokusebenzela yizinani zesibonelo.
Ukusebenza kokupholisa njengengxenye yomkhawulo we-Carnot.
COP = 0.45 · T_evap / (T_cond − T_evap) [K][4]
Izinga lokushisa lesisu somkhiqizo lilandela umoya ngokubambezeleka kwamahora amabili.
T_product(t+Δt) = T_room + (T_product − T_room)·e^(−Δt/2h)[3]
Ukwehla: amadigri-amahora ngaphandle kwebanga lokugcina lika-2–8 °C (kufudumele kakhulu noma kuyaqandisa).
excursion = Σ max(0, T − 8, 2 − T) · Δt [°C·h][1]
Ezinye izinto ezihlala zingashintshi zokusebenza ezisetshenziswa imodeli.
cold room 60 MJ/K, walls 0.6 kW/K · door open 60 % of unloading · air curtain −70 % infiltration, +3 kW fan per busy door · 2 × 40 kW compressors, −1 %/K above 32 °C · 4 kW per busy door (levellers, lights) · failed reefer τ = 3 h · scenario site settings: cold-room pre-alarm 7 °C, overtime budget 68 door-hours per 14 h day · booked trucks miss 5 % of slots · unloading Erlang-2Okuthathelwa: isisindo sokushisa, ukuqhutshwa kodonga nesicabha, usayizi we-compressor nesikhathi sokusebenzela yizinani zesibonelo.
Amalori angabhukile afika ngokungahleliwe, amalori abhukile afika ngezikhathi zawo ezibekiwe (ambalwa aphuthelwa yizo), futhi izicabha ziwasebenzela ngokufanayo. Isikhathi sokulinda silandela umthetho kaLittle: umugqa uhlukaniswa ngamalori athululwe ngempela ngehora phakathi nehora eledlule, ngakho umugqa ongashintshile awugxumi lapho izinga lokufika lishintsha.
arrivals ~ Poisson(λΔt) + booked slots (5 % no-show), service ~ Erlang-2 (mean 45 min), c staffed doors; X = n_busy / 45 min (smoothed, τ = 1 h); W_q = L_q / X[6][5]
Isikhathi sabasebenzi: sonke isicabha esinabasebenzi siyakhokhelwa, noma kunelori kuso noma kungekho.
crew time = Σ c_staffed · Δt [door-hours]

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

Imithombo

  1. PAHO — Cold chain: vaccines are stored and transported between +2 °C and +8 °C — Pan American Health Organization
  2. ASHRAE Handbook — Refrigeration, ch. 24 Refrigerated-Facility Loads (door infiltration, Gosney–Olama model; air curtains) — ASHRAE, 2022
  3. F. P. Incropera et al. — Fundamentals of Heat and Mass Transfer: lumped capacitance — Wiley, 2011
  4. Y. A. Çengel, M. A. Boles — Thermodynamics: Carnot COP of refrigerators — McGraw-Hill, 2019
  5. J. D. C. Little — A Proof for the Queuing Formula L = λW — Operations Research 9(3), 1961
  6. D. Gross, C. M. Harris — Fundamentals of Queueing Theory (M/M/c) — Wiley, 2008

Obani abenza lokhu ukuze baziphilise

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