Table 1 Inputs for application of the models of indicators of performances of the given trunk line/route 1)
Input variable | Notation/Unit | Value |
|---|---|---|
• Period of time | τ (years) | 1 |
• The TEU flows during given period of time 2) | Qij(τ) + Qji(τ) (TEU/year) | 2,433,543 |
• Container ship payload capacity, length, beam (width) 3) | PLij/ Lij/ Wij (TEU/ship) | 4000/294/32 |
18,000/399/59 | ||
• Collection and distribution rate and their use for the parcel of TEUs - the supplier (Hong Kong) and the consumer seaport (Rotterdam) | θi/ri- θj/rj (TEU/day)/(−) - (TEU/day)/(−) | 1100/1.0–1100/1.0 |
• Loading/unloading rate per crane, the number of cranes used, TEU-factor, the rate of crane use at the supplier seaport (Hong Kong) 4) | mi1/2/nci/kci/ρc/i/PLij (moves/h)/(−) (TEU/move)/ (−)/(TEU/ship) | 36/3/1.5/0.75/4000 36/6/1.5/0.75/18000 |
• Loading/unloading rate per crane, the number of cranes used, TEU- factor, the rate of crane use - the customer seaport (Rotterdam) 4) | mj1/2/ncj/kcj/ρc/j/PLij(moves/h)/(−) (TEU/move)/ (−)/(TEU/ship) | 42/3/1.5/0.75/4000 |
42/6/1.5/0.75/18000 | ||
• Time between collecting and loading at the supplier seaport (Hong Kong), and between unloading and distributing at the customer port (Rotterdam) - a TEU parcel | Δij- Δji (day(s)) -(day(s)) | 1.0–1.0 |
• Operating distance between the supplier and the customer seaport 5) | dij/dji (nm)/(nm) | 9748/9748 |
• Average operating speed of container ships 6) | vij (kts) | 20 (Slow steaming) |
15 (Super slow steaming) | ||
• Portion of the maintained average ship’s operating speed | sij/sji (−)/(−) | 1.0/1.0 |
• Proportion of realized transport services | βij/βji (−)/(−) | 1.0/1.0 |
• Average delay per realized transport service | Dij/Dji- Ddi/Daj- Ddj/Dai(days)/(h)/(h) | 0.0/0.0–0.0/0.0–0.0/0.0 |
• Container inventory costs - the supplier and the customer seaport 7) | αi, αj ($US/TEU-day) | 159; 159 |
• Container costs of time in transportation 8) | αij ($US/TEU-day) | 13.6 |
• Container handling costs at the supplier seaport (Hong Kong) and the customer seaport (Rotterdam) 9) | ci- cj ($US/TEU) -($US/TEU) | 234–200 |
• Container ship sea/operating costs 10) | cij/vij/PLij ($US/TEU-day)/(kts)/ (TEU/ship) | 14.5/20; 10.9/15;4000 |
12.1/20; 7.0/15;18,000 | ||
• Average fuel consumption of container ship at sea 11) | fc/ij/vij/PLij (ton/day)/(kts)/(TEU/ship) | 75.5/20; 32.1/15;4000 |
240.2/20; 106.5/15;18,000 | ||
• Average emissions of GHG (Green House Gases) by container ship 12) | eij/vij/PLij(tonCO2e/day)/ (kts)/(TEU/ship) | 239.3/20; 101.6/15;4000 |
761.4/20; 337.6/15;18,000 | ||
• Average price of CO2 emissions 13) | \( {C}_{CO_2} \) ($US/ton) | 32 |
• Average loading/unloading time of a ship-the supplier seaport (Hong Kong) 14) | τi1/μi/PLij (days)/(TEU/h)/ (TEU/ship) | 0.96/108/4000 |
2.06/216/18000 | ||
• Average loading/unloading time of a ship-the customer seaport (Rotterdam) 15) | τj1/μj/PLij(days)/(TEU/h)/ (TEU/ship) | 0.82/126/4000 |
1.71/252/18000 | ||
• Berth’s operational time and utilization 15) | nh/i/j/ndyr/i/j/ρb/i/j (h/day)/(days/yr)/(−) | 24/360/0.35 |
• Berth’s width 16) | Si/j (m) | 60 |
Dwell time, area occupied by container, number of stacks, utilization of available space, operating time of container terminals 17) | \( {\overline{t}}_{d/i/j} \)/ATEU/i/j/ncts/ij/ nct/dyr/i/j/ρct/i/j(days)/(m2/TEU)/(−)/ (−)/(days/yr) | 2/11.5/3/365/0.7 |
• Rate of container ship losses 18) | p (Number/TEU-mile) | 4.492·10−12 |