Fig. 1:

Fig. 2:

Fig. 3:

Fig. 4:

Fig. 5:

Fig. 6:

Fig. 7:

Productivity variation for CAT 345B excavator based on excavation depth_
| Productivity results (m3/h) and variations depending on the excavation depth | |||||||
|---|---|---|---|---|---|---|---|
| 3 m | 2 m | Percentage of variation | 4 m | Percentage of variation | 5 m | Percentage of variation | |
| Komatsu (2013) | 573.23 | 677.45 | 18.18% | 573.23 | 0.00% | 573.23 | 0.00% |
| Caterpillar (2016) | 523.06 | 550.59 | 5.26% | 498.15 | –4.76% | 475.51 | –9.09% |
| Liebherr (2003) | 540.02 | 540.02 | 0.00% | 540.02 | 0.00% | 540.02 | 0.00% |
| Volvo (2015) | 608.00 | 608.00 | 0.00% | 608.00 | 0.00% | 608.00 | 0.00% |
| Nunnally (2007) | 498.15 | 512.38 | 2.86% | 464.94 | –6.67% | 445.96 | –10.48% |
| Peurifoy and Schexnayder (2002) | 383.58 | 361.78 | –5.68% | 353.06 | –7.95% | 326.91 | –14.77% |
| BML (1983) and Hoffmann (2006) | 438.60 | 458.90 | 4.63% | 423.60 | –3.42% | 409.60 | –6.61% |
| Kühn (1984) | 311.40 | 325.82 | 4.63% | 300.76 | –3.42% | 290.81 | –6.61% |
| Hüster (2005) | 280.70 | 293.70 | 4.63% | 271.11 | –3.42% | 262.14 | –6.61% |
| Bauer (2007) | 444.08 | 464.64 | 4.63% | 428.90 | –3.42% | 414.72 | –6.61% |
| Girmscheidt (2010) | 335.53 | 351.06 | 4.63% | 324.06 | –3.42% | 313.34 | –6.61% |
| Garbotz (1966) and Kotte (1997) | 265.74 | 278.04 | 4.63% | 256.65 | –3.42% | 248.17 | –6.61% |
Comparative evaluation of CAT 345B excavation productivity_
| Equipment – model: | Excavator – Caterpillar 345B | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Soil type | Loose soil | |||||||||||
| Work method | Excavation and soil disposal on truck | |||||||||||
| Komatsu (2013) | Caterpillar (2016) | Liebherr (2003) | Volvo (2015) | Nunnally (2007) | Peurifoy and Schexnayder (2002) | BML (1983) and Hoffmann (2006) | Kühn (1984) | Hüster (2005) | Bauer (2007) | Girmscheidt (2010) | Garbotz (1966) and Kotte (1997) | |
| V(SAE/CECE)(m3) | 4 | 4 | 4 | 4 | 4 | 4 | 3.48 | 3.48 | 3.48 | 4 | 4 | 3.48 |
| texc (sec) | 20.50 | 20.00 | 23.00 | 19.50 | 24.00 | 24.00 | 22.00 | 22.00 | 22.00 | 22.00 | 22.00 | 22.00 |
| fs | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 | 1.23 |
| ffill | 1.15 | 1.05 | 1.10 | 1.05 | 1.00 | 1.05 | 1.20 | 1.20 | 1.20 | 1.20 | 1.20 | 1.20 |
| fdepth | 1.30 | × | × | × | × | × | 1.13 | 1.13 | 1.13 | 1.13 | 1.13 | 1.13 |
| fswing | × | × | × | × | × | × | 0.95 | 0.95 | 0.95 | 0.95 | 0.95 | 0.95 |
| fswing-depth | × | × | × | × | 1.05 | 0.88 | × | × | × | × | × | × |
| fdump | × | × | × | × | × | × | 0.90 | 0.90 | 0.90 | 0.90 | × | 0.90 |
| fskill | × | 0.75 | 0.85 | × | × | 0.75 | × | 0.71 | 0.80 | × | 0.80 | 0.80 |
| favail | × | × | × | 0.85 | × | × | × | × | 0.80 | × | 0.85 | 0.85 |
| fvol | × | × | × | × | × | × | 0.92 | 0.92 | 0.92 | 0.90 | 0.90 | 0.92 |
| fwear | × | × | × | × | × | × | × | × | × | 0.90 | 0.90 | 0.90 |
| falt | × | × | × | × | × | × | × | × | × | × | × | 0.99 |
| fE | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 | 0.75 |
| Q (m3/h) | 573.23 | 523.06 | 540.02 | 608.00 | 498.15 | 383.58 | 438.60 | 311.40 | 280.70 | 444.08 | 335.53 | 265.74 |
Equipment deployment combinations and productivity results_
| Working scenarios – operational combinations | ||||||||||
| Available equipment | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | |
| Four trucks – CAT 725C | ||||||||||
| One excavator – CAT 345B | 3 | 2 | 2 | 1 | 1 | 1 | 1 | 1 | 1 | |
| One excavator – CAT 330 | - | - | 1 | 2 | 1 | - | 1 | - | - | |
| One excavator – O&K RH16 | - | - | - | - | 1 | 2 | - | 1 | - | |
| One loader – CAT 966H | 1 | 2 | 1 | 1 | 1 | 1 | 2 | 2 | 3 | |
| Work type | Transportation of loose soil | |||||||||
| Working scenarios | Komatsu (2013) | Caterpillar (2016) | Liebherr (2003) | Volvo (2015) | Nunnally (2007) | Peurifoy and Schexnayder (2002) | BML (1983), Bauer (2007), Garbotz (1966) and Hoffmann (2006) | Kühn (1984) | Hüster (2005) | Girmscheidt (2010) |
| 1 | 116.21 | 107.22 | 111.78 | 111.82 | 102.42 | 107.98 | 114.76 | 111.12 | 112.30 | 127.17 |
| 2 | 112.65 | 106.47 | 111.09 | 111.66 | 100.79 | 107.57 | 119.23 | 115.47 | 116.46 | 127.51 |
| 3 | 115.57 | 110.13 | 111.15 | 114.90 | 104.78 | 111.41 | 114.30 | 110.70 | 111.67 | 126.63 |
| 4 | 114.93 | 113.03 | 110.53 | 117.97 | 107.14 | 114.84 | 113.83 | 110.28 | 111.03 | 126.09 |
| 5 | 115.68 | 110.26 | 111.14 | 115.08 | 108.43 | 111.80 | 114.46 | 110.89 | 111.59 | 126.82 |
| 6 | 116.42 | 107.49 | 111.76 | 112.19 | 109.72 | 108.76 | 115.09 | 111.49 | 112.15 | 127.55 |
| 7 | 112.01 | 109.38 | 110.47 | 114.73 | 103.15 | 111.00 | 118.77 | 115.05 | 115.83 | 126.97 |
| 8 | 112.75 | 106.61 | 111.08 | 111.84 | 104.44 | 107.96 | 119.40 | 115.66 | 116.38 | 127.70 |
| 9 | 109.09 | 105.72 | 110.41 | 111.49 | 99.17 | 107.15 | 123.71 | 119.82 | 120.62 | 127.84 |
Productivity factors’ values specification and comparative analysis_
| Productivity estimation methodology | |||
|---|---|---|---|
| Productivity factor | Group A | Group B | |
| Equipment manufacturers | Textbook methodologies | ||
| Bucket fill factor (ffill) | Values based on the DIN 18300:2012 standard within the range 0.72–1.40 | Indicative values within the range 0.60–1.20 | |
| Job efficiency factor (fE) | Same approach for all methodologies: fE = (60–∑[Delays in min])/60 | ||
| Operator skill factor (fskill) | Values according to operator’s skill and experience | Implicit effect included in cycle time estimation | |
| Equipment availability factor (favail) | Values according to equipment’s working hours within the range 0.65–1.00 (i.e. <1,000 hr favaill = 1; 3,500–5,000 hr favail= 0.65) | No specific values’ range, but empirically defined as a percentage with probable value ~80% | - |
| Swing angle factor (fswing) | See Figure 2a | Implicit effect included in the cycle time estimation | |
| Excavation depth factor (fdepth) | See Figure 2b | Same as fswing | |
| Combined swing angle and digging depth factor (fswing-depth) | - | - | See Figure 2d |
| Bucket dump factor (fdump) | fdump < 1 for targeted dump | - | - |
| Excavator-truck volumes match factor (fvol) | See Figure 2c | - | - |
| Bucket teeth wear factor (fwear) | fwear < 1 for worn teeth | - | - |
| Altitude factor (falt) | falt < 1 for > 300 m altitude | falt < 1 for > 760 m altitude | - |
Productivity variation for CAT 345B excavator based on swing angle_
| Productivity results (m3/h) and variations depending on the swing angle | |||||||
|---|---|---|---|---|---|---|---|
| 120° | 60° | Percentage of variation | 90° | Percentage of variation | 180° | Percentage of variation | |
| Komatsu (2013) | 573.23 | 671.50 | 17.14% | 618.49 | 7.89% | 534.15 | –6.82% |
| Caterpillar (2016) | 523.06 | 581.18 | 11.11% | 550.59 | 5.26% | 475.51 | –9.09% |
| Liebherr (2003) | 540.02 | 621.03 | 15.00% | 591.45 | 9.52% | 496.82 | –8.00% |
| Volvo (2015) | 608.00 | 658.67 | 8.33% | 634.01 | 4.28% | 564.57 | –7.14% |
| Nunnally (2007) | 498.15 | 583.55 | 17.14% | 536.10 | 7.62% | 441.22 | –11.43% |
| Peurifoy and Schexnayder (2002) | 383.58 | 505.62 | 31.82% | 435.88 | 13.64% | 309.48 | –19.32% |
| BML (1983) and Hoffmann (2006) | 438.60 | 484.76 | 10.53% | 461.68 | 5.26% | 406.28 | –7.37% |
| Kühn (1984) | 311.40 | 344.18 | 10.53% | 327.79 | 5.26% | 288.46 | –7.37% |
| Hüster (2005) | 280.70 | 310.25 | 10.53% | 295.48 | 5.26% | 260.02 | –7.37% |
| Bauer (2007) | 444.08 | 490.82 | 10.53% | 467.45 | 5.26% | 411.36 | –7.37% |
| Girmscheidt (2010) | 335.53 | 370.84 | 10.53% | 353.19 | 5.26% | 310.80 | –7.37% |
| Garbotz (1966) and Kotte (1997) | 265.74 | 293.71 | 10.53% | 279.72 | 5.26% | 246.16 | –7.37% |
Comparative evaluation of productivity estimation methodologies’ factors_
| No. | Estimation methodology | Productivity factors |
|---|---|---|
| 1 | Bauer (2007) | fs, ffill, fswing, fdepth, fvol, fwear, fE |
| 2 | BML (1983) | fs, ffill, fswing, fdepth, fdump, fvol, fE |
| 3 | Caterpillar (2016) | fs, ffill, f skill, fE |
| 4 | Volvo (2015) | fs, ffill, f availl, fE |
| 5 | Garbotz (1966) | fs, ffill, fswing, fdepth, fvol, fwear, falt, favail, fskill, fE |
| 6 | Girmscheidt (2010) | fs, ffill, fswing, fdepth, fvol, fwear, favail, fskill, fE |
| 7 | Hoffmann (2006) | fs, ffill, fswing, fdepth, fdump, fvol, fE |
| 8 | Hüster (2005) | fs, ffill, fswing, fdepth, fE |
| 9 | Komatsu (2013) | fs, ffill, fdepth, fE |
| 10 | Kotte (1997) | fs, ffill, fswing, fdepth, fdump, fvol, fwear, falt, favail, fskill, fE |
| 11 | Kühn (1984) | fs, ffill, fswing, fdepth, fdump, fvol, fskill, fE |
| 12 | Liebherr (2003) | fs, ffill, fskill, fE |
| 13 | Nunnally (2007) | fs, ffill, fswing-depth, fE |
| 14 | Peurifoy and Schexnayder (2002) | fs, ffill, fswing-depth, fskill, fE |