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services, a Safety Index (SI) was developed. The SI is 
used to further analyze navigators’ behavior and 
decisions in different maritime traffic scenarios that 
are conducted within the EMSN. For the assessment 
of navigators’ behavior in encounter situations 
between ships, it is required to develop an approach 
that accounts for the full complexity of the task. While 
most assessment methods conventionally used 
depend to a large degree on expert opinions, this 
study aims for a more objective and quantitative 
approach. 
The most widely used approach for the assessment 
of ship handling simulation is rating by expert 
opinion. An obvious disadvantage of this 
methodology is the high influence of subjective 
judgement. This means that the same simulation 
results can receive totally divergent ratings when 
being assessed by different experts. To compensate 
this drawback, an alternative approach will be used 
for analyzing and evaluating the impact of the 
available services at the time of the simulations in the 
STM concept on ship traffic. 
Within the STM Validation project, the level of 
safety of different traffic situations will be measured 
based on a fuzzy logic approach, cf. (Bai & Wang, 
2006),  (Kozlowska, 2012),  (Mamdani & Assilion, 
1975), (Perera, et al., 2011) and (Zadeh, 1965). The SI 
may be used within the Formal Safety Assessment 
(FSA) to assess the potential risk reduction by the 
implementation of the STM and its various 
operational services.   
Overall, the safety index consists of a collision 
index, a grounding index and an environmental 
index, which parameters are presented in Figure 3. 
 
Figure  1. Structure of the safety index for the 
evaluation of the EMSN runs. 
Following the definition of the input variables, the 
membership functions for the fuzzy models 
estimating a collision index are created based on the 
results of pre-conducted instructor surveys and/or a 
comprehensive literature research. In the following a 
maritime traffic situation is given by one own ship 
(OS) and one or multiple target ships (TS) 
encountering in different situations: head-on, crossing 
or overtaking. 
The maneuverability of a ship is determined by the 
block coefficient of length and breadth and the type of 
ship transmitted via AIS. If the block coefficient is 
small, then there is no good ability to maneuver, the 
larger it becomes, the better the ability to maneuver 
the ship (American Bureau of Shipping, 2006). A poor 
maneuverability causes a deterioration of the Safety 
Index.  The maneuverability of a vessel strongly 
depends on its maneuvering devices. This includes 
the rudder, fixed lateral areas, transverse thrusters, 
propeller (with fixed pitch or controllable pitch, Voith 
Schneider propeller or azimuth thruster). In addition, 
the engine has an influence on the maneuverability of 
the vessel (two or four stroke engine or electrically 
driven). Since AIS does not include this type of 
information the maneuverability of a ship has to be 
estimated. Thus, the maneuverability is according to 
the AIS data a function of the following variables. 
( )
[ ]
 , , ,  , f Vesseltype L B good poor none=
  (1) 
The main idea is to give every ship type a 
classification of the maneuverability. For passenger 
ships, cargo ships, tanker and tugs an additional 
factor will be considered. The ratio length to breadth 
will change maneuverability index of the actual ship. 
The larger the ratio, the slender the ship. This is good 
for speed and course keeping, but rather bad for 
maneuvering. For this ship types good L/B ratios will 
be estimated. If a ship has a greater L/B ratio then the 
estimated one, the estimated maneuverability will be 
improved one level and vice versa. 
The grounding index is determined by specifying 
the squat of each vessel, which represents the 
decrease of a ship’s under keel clearance due to 
vessel’s movement in shallow waters. A small squat 
has a small grounding probability.  Given the block 
coefficient c
B and the actual speed through water v of 
a ship, the squat is given by (Serban & Panaitescu, 
2016) 
  (2) 
To determine the environmental conditions, two 
fuzzy systems will be used: within a first one, the drift 
of a ship given the current, wind and sea state will be 
developed. The drift will be used to estimate the 
maneuverability later on. The output of the linguistic 
variable visibility will be directly used to define the 
EI. The drift of a vessel is determined by the 
environmental parameters current, wind and sea 
state. 
For more details on the mathematical backgrounds 
of the indices, it is referred to (Olindersson, et al., 
2017). 
3.4  EMSN Safety Assessment 
To  evaluate  the effects of STM services, the safety 
indices of runs without STM equipment ("base runs") 
and runs with equipment ("STM runs") are 
determined. For this purpose, each combination of 
owned and foreign ships was considered and the 
corresponding safety index was determined for each 
point in time. 
The histograms in Figure 4 and Figure 5 depict the 
safety indices for baseline and STM runs. The results 
indicate that no significant effect of these combined 
STM services on  maritime traffic safety  could be 
observed. If all SI of the runs are compared, it is 
verified that both the runs without STM and those 
with STM equipment are in a similar range.