512
Table 2. The shortest (to), the most probable (td) and the
longest (tp) times (in seconds) for each operation comprising
the unloading and loading of one container at the terminal
(Authors).
_______________________________________________
Equipment Operation to td tp
_______________________________________________
Unloading
_______________________________________________
STS A. Load hooking 3 3 3
B. Load lifting
a
4 4 4
C. Winch trolley driving and load 34 48 60
lowering
D. Load unhooking 10 10 10
E. Spreader lifting and winch 16 25 33
trolley driving
F. Spreader lowering
a
12 12 12
_______________________________________________
IMV Transfer to the storage yard 37 74 131
_______________________________________________
RTG A. Load hooking 3 3 3
B. Load lifting
b
26 26 26
C. Crane bridge driving 0 36 66
D. Winch trolley driving 5 14 20
E. Load lowering and unhooking 28 38 49
F. Spreader lifting 7 12 17
G. Crane bridge and winch trolley 5 36 66
driving
H. Spreader lowering
b
20 20 20
_______________________________________________
Loading
_______________________________________________
STS A. Load hooking 3 3 3
B. Load lifting
a
17 25 32
C. Winch trolley driving and load 15 20 25
lowering
D. Load unhooking 5 5 5
E. Spreader lifting and winch 12 18 23
trolley driving
F. Spreader lowering
a
12 15 18
_______________________________________________
IMV Transfer to the storage yard 37 74 131
_______________________________________________
RTG A. Load hooking 3 3 3
B. Load lifting
b
8 19 29
C. Crane bridge driving 0 36 66
D. Winch trolley driving 5 14 20
E. Load lowering and unhooking 46 46 46
F. Spreader lifting 15 15 15
G. Crane bridge and winch trolley 5 36 66
Driving
H. Spreader lowering
b
12 17 22
_______________________________________________
a - all containers are unloaded from the ship’s deck, so the
container is always lifted, and the empty spreader is always
lowered at 3 m; b - the RTG lifts each container at 15 m, the
empty spreader is lowered from this height.
Then, using the PERT method, we estimated the
duration of individual reloading activities at the
described terminal (Table 3).
Table 3. Times (in seconds) of individual reloading
operations for one container handled at the analysed
terminal (Authors).
_______________________________________________
Equipment Operation Unloading Loading
_______________________________________________
STS Reloading a container 101.5±5.18 85.7±3.66
from the ship to the
IMV and vice versa
IMV Transfer to and from 77.3±12.60 77.3±12.60
the storage yard
RTG Reloading a container 183.5±15.67 184.2±15.67
from the IMV to the
storage yard and
vice versa
_______________________________________________
The average working time of the STS unloading a
container from a ship is approx. 102 seconds, and of
the STS loading a container, approx. 86 seconds. The
transport of a container by the IMV through the
terminal to or from the storage yard takes less than 78
seconds, while the transfer of a container by the RTG
takes an average of 184 seconds. Finally, to check for
the robustness of our results, we used the cumulative
distribution function of the standard Normal
distribution and performed the sensitivity analysis.
First, we indicated the directive term with 30 and 60
percent probability (Table 4). Then, we depicted
distributions for four described stages where the
dashed lines correspond to the deadlines for
completion in the schedules of both 30 percent and 60
percent probability scenarios (Figure 1).
Table 4. Times (in seconds) of individual reloading
operations for one container handled at the analysed
terminal (Authors).
_______________________________________________
Stage Schedule
30 percent 60 percent
probability probability
_______________________________________________
STS unloading 98.78 102.81
RTG unloading 175.28 187.47
STS loading 84.1 86.48
RTG loading 175.98 188.17
_______________________________________________
Figure 1. Cumulative standard Normal distribution for each
of the PERT models (Authors).
For the STS unloading, the directive term of the
container unloading may vary from 98.78 to 102.81
seconds. Shortening this time below the left end of the
range carries too high a risk of failure. On the other
hand, extending the time limit above the right limit
would unnecessarily extend this stage and inevitably
increase costs related to, inter alia, a longer stay of the
ship at the quay.
The expected values of directive terms are given
on the horizontal axis, and the cumulative
probabilities are on the vertical axis. In this way, we
may determine the chance of the implementation of a
given process for various scenarios, from those with
almost zero to those with almost 100 percent
probability.