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Comparative assessment of deterministic methodologies for estimating excavation productivity

Open Access
|Sep 2023

Figures & Tables

Fig. 1:

Comparative estimation of cycle time according to equipment’s engine power for equipment manufacturers’ manuals. (Source: Own study).
Comparative estimation of cycle time according to equipment’s engine power for equipment manufacturers’ manuals. (Source: Own study).

Fig. 2:

Values specification for productivity factors’ coefficients (Vtruck, truck volume; Vexc, excavator bucket volume; hexc, excavation depth; hmax, maximum excavation depth). (a) Swing angle coefficient. (b) Digging depth coefficient for different DIN 18300 categories (3&4: soft soil, 5&6: hard soil). (c) Excavator – truck volume match factor coefficient. (d) Swing – depth coefficient for different swing angles. (Source: Own study).
Values specification for productivity factors’ coefficients (Vtruck, truck volume; Vexc, excavator bucket volume; hexc, excavation depth; hmax, maximum excavation depth). (a) Swing angle coefficient. (b) Digging depth coefficient for different DIN 18300 categories (3&4: soft soil, 5&6: hard soil). (c) Excavator – truck volume match factor coefficient. (d) Swing – depth coefficient for different swing angles. (Source: Own study).

Fig. 3:

Variation of excavator productivity in relation to equipment type. (Source: Own study).
Variation of excavator productivity in relation to equipment type. (Source: Own study).

Fig. 4:

Productivity estimation results for combinatory operation of excavator and loader - truck system. (Source: Own study).
Productivity estimation results for combinatory operation of excavator and loader - truck system. (Source: Own study).

Fig. 5:

Productivity estimation results for combinatory operation of excavator and loader - truck system. (Source: Own study).
Productivity estimation results for combinatory operation of excavator and loader - truck system. (Source: Own study).

Fig. 6:

Graphical illustration of productivity variation for CAT 345B excavator based on swing angle. (Source: Own study).
Graphical illustration of productivity variation for CAT 345B excavator based on swing angle. (Source: Own study).

Fig. 7:

Graphical illustration of productivity variation for CAT 345B excavator based on excavation depth. (Source: Own study).
Graphical illustration of productivity variation for CAT 345B excavator based on excavation depth. (Source: Own study).

Productivity variation for CAT 345B excavator based on excavation depth_

Productivity results (m3/h) and variations depending on the excavation depth
3 m2 mPercentage of variation4 mPercentage of variation5 mPercentage of variation
Komatsu (2013)573.23677.4518.18%573.230.00%573.230.00%
Caterpillar (2016)523.06550.595.26%498.15–4.76%475.51–9.09%
Liebherr (2003)540.02540.020.00%540.020.00%540.020.00%
Volvo (2015)608.00608.000.00%608.000.00%608.000.00%
Nunnally (2007)498.15512.382.86%464.94–6.67%445.96–10.48%
Peurifoy and Schexnayder (2002)383.58361.78–5.68%353.06–7.95%326.91–14.77%
BML (1983) and Hoffmann (2006)438.60458.904.63%423.60–3.42%409.60–6.61%
Kühn (1984)311.40325.824.63%300.76–3.42%290.81–6.61%
Hüster (2005)280.70293.704.63%271.11–3.42%262.14–6.61%
Bauer (2007)444.08464.644.63%428.90–3.42%414.72–6.61%
Girmscheidt (2010)335.53351.064.63%324.06–3.42%313.34–6.61%
Garbotz (1966) and Kotte (1997)265.74278.044.63%256.65–3.42%248.17–6.61%

Comparative evaluation of CAT 345B excavation productivity_

Equipment – model:Excavator – Caterpillar 345B
Soil typeLoose soil
Work methodExcavation 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)4444443.483.483.48443.48
texc (sec)20.5020.0023.0019.5024.0024.0022.0022.0022.0022.0022.0022.00
fs1.231.231.231.231.231.231.231.231.231.231.231.23
ffill1.151.051.101.051.001.051.201.201.201.201.201.20
fdepth1.30×××××1.131.131.131.131.131.13
fswing××××××0.950.950.950.950.950.95
fswing-depth××××1.050.88××××××
fdump××××××0.900.900.900.90×0.90
fskill×0.750.85××0.75×0.710.80×0.800.80
favail×××0.85××××0.80×0.850.85
fvol××××××0.920.920.920.900.900.92
fwear×××××××××0.900.900.90
falt×××××××××××0.99
fE0.750.750.750.750.750.750.750.750.750.750.750.75
Q (m3/h)573.23523.06540.02608.00498.15383.58438.60311.40280.70444.08335.53265.74

Equipment deployment combinations and productivity results_

Working scenarios – operational combinations
Available equipment123456789
Four trucks – CAT 725C
One excavator – CAT 345B322111111
One excavator – CAT 330--121-1--
One excavator – O&K RH16----12-1-
One loader – CAT 966H121111223
Work typeTransportation of loose soil
Working scenariosKomatsu (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)
1116.21107.22111.78111.82102.42107.98114.76111.12112.30127.17
2112.65106.47111.09111.66100.79107.57119.23115.47116.46127.51
3115.57110.13111.15114.90104.78111.41114.30110.70111.67126.63
4114.93113.03110.53117.97107.14114.84113.83110.28111.03126.09
5115.68110.26111.14115.08108.43111.80114.46110.89111.59126.82
6116.42107.49111.76112.19109.72108.76115.09111.49112.15127.55
7112.01109.38110.47114.73103.15111.00118.77115.05115.83126.97
8112.75106.61111.08111.84104.44107.96119.40115.66116.38127.70
9109.09105.72110.41111.49  99.17107.15123.71119.82120.62127.84

Productivity factors’ values specification and comparative analysis_

Productivity estimation methodology
Productivity factorGroup AGroup B
Equipment manufacturersTextbook methodologies
Bucket fill factor (ffill)Values based on the DIN 18300:2012 standard within the range 0.72–1.40Indicative 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 experienceImplicit 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 2aImplicit effect included in the cycle time estimation
Excavation depth factor (fdepth)See Figure 2bSame 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 altitudefalt < 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 variation90°Percentage of variation180°Percentage of variation
Komatsu (2013)573.23671.5017.14%618.497.89%534.15–6.82%
Caterpillar (2016)523.06581.1811.11%550.595.26%475.51–9.09%
Liebherr (2003)540.02621.0315.00%591.459.52%496.82–8.00%
Volvo (2015)608.00658.678.33%634.014.28%564.57–7.14%
Nunnally (2007)498.15583.5517.14%536.107.62%441.22–11.43%
Peurifoy and Schexnayder (2002)383.58505.6231.82%435.8813.64%309.48–19.32%
BML (1983) and Hoffmann (2006)438.60484.7610.53%461.685.26%406.28–7.37%
Kühn (1984)311.40344.1810.53%327.795.26%288.46–7.37%
Hüster (2005)280.70310.2510.53%295.485.26%260.02–7.37%
Bauer (2007)444.08490.8210.53%467.455.26%411.36–7.37%
Girmscheidt (2010)335.53370.8410.53%353.195.26%310.80–7.37%
Garbotz (1966) and Kotte (1997)265.74293.7110.53%279.725.26%246.16–7.37%

Comparative evaluation of productivity estimation methodologies’ factors_

No.Estimation methodologyProductivity factors
1Bauer (2007)fs, ffill, fswing, fdepth, fvol, fwear, fE
2BML (1983)fs, ffill, fswing, fdepth, fdump, fvol, fE
3Caterpillar (2016)fs, ffill, f skill, fE
4Volvo (2015)fs, ffill, f availl, fE
5Garbotz (1966)fs, ffill, fswing, fdepth, fvol, fwear, falt, favail, fskill, fE
6Girmscheidt (2010)fs, ffill, fswing, fdepth, fvol, fwear, favail, fskill, fE
7Hoffmann (2006)fs, ffill, fswing, fdepth, fdump, fvol, fE
8Hüster (2005)fs, ffill, fswing, fdepth, fE
9Komatsu (2013)fs, ffill, fdepth, fE
10Kotte (1997)fs, ffill, fswing, fdepth, fdump, fvol, fwear, falt, favail, fskill, fE
11Kühn (1984)fs, ffill, fswing, fdepth, fdump, fvol, fskill, fE
12Liebherr (2003)fs, ffill, fskill, fE
13Nunnally (2007)fs, ffill, fswing-depth, fE
14Peurifoy and Schexnayder (2002)fs, ffill, fswing-depth, fskill, fE
DOI: https://doi.org/10.2478/otmcj-2023-0007 | Journal eISSN: 1847-6228 | Journal ISSN: 1847-5450
Language: English
Page range: 63 - 78
Submitted on: Aug 31, 2022
Accepted on: Jan 29, 2023
Published on: Sep 11, 2023
Published by: University of Zagreb
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Antonios Panas, John-Paris Pantouvakis, Maria Kalogiannaki, published by University of Zagreb
This work is licensed under the Creative Commons Attribution 4.0 License.