## 5 Conclusions  
The paper presents the graph model that enables dividing cargo handling time into waiting time and actual operation time on inland container terminals. The authors presented assumptions associated with data acquisition and data interpretation. The practical section compares cargo handling time depending on the adopted strategy of container distribution within the terminal. The difference is a consequence of different operation time components, which mostly refers to the freight unit waiting time. While it does not matter much in the case of less occupied facilities, in terminals with a higher (approx. 50% occupancy) share of occupied positions, the selected strategy impacts the waiting time, and then the average total operation time. Analyzing the time of operations and the number of unproductive movements on container terminals is crucial for several reasons. Firstly, it helps to identify bottlenecks and inefficiencies in the terminal's workflow, which can then be addressed to increase productivity and reduce costs. This, in turn, can lead to better customer satisfaction and improved profitability for terminal operators. Secondly, understanding the time required for different operations and the number of unproductive movements can help to optimize the terminal layout and equipment deployment. By analyzing the data, terminal operators can determine the most efficient way to store and handle containers, reducing unnecessary movements and improving the flow of goods. Lastly, the analysis of time and unproductive movements can be useful in the planning of resources, including labor and equipment. By understanding the amount of time required for operations and the number of unproductive movements, terminal operators can better allocate resources to ensure optimal efficiency and avoid unnecessary downtime. While the paper presents a useful tool, it also has some limitations that are mostly related to the fact that FIFO handling strategies were adopted in the calculations. Further work is needed to bring the adapted strategies closer to real conditions. First of all, attention to prioritizing certain operations in time intervals is needed. It is also worth paying attention to other strategies related to the arrangement of containers (e.g., leveling, block strategy, \begin{table}
\begin{tabular}{c c c c c c c c c c c} \hline \hline  & \multicolumn{10}{c}{**Rate of Repeated Operations**} \\ \hline
**Occu.** & **0\%** & **5\%** & **10\%** & **15\%** & **20\%** & **25\%** & **30\%** & **35\%** & **40\%** & **45\%** & **50\%** \\ \hline
35\% & 1.45 & 1.48 & 1.51 & 1.55 & 1.58 & 1.62 & 1.66 & 1.71 & 1.75 & 1.8 & 1.86 \\ \hline
40\% & 1.55 & 1.58 & 1.62 & 1.66 & 1.71 & 1.76 & 1.81 & 1.86 & 1.92 & 1.99 & 2.05 \\ \hline
45\% & 1.65 & 1.69 & 1.74 & 1.79 & 1.85 & 1.9 & 1.97 & 2.03 & 2.11 & 2.19 & 2.27 \\ \hline
50\% & 1.87 & 1.93 & 2 & 2.07 & 2.15 & 2.24 & 2.33 & 2.43 & 2.55 & 2.67 & 2.81 \\ \hline
55\% & 2.19 & 2.28 & 2.39 & 2.5 & 2.62 & 2.76 & 2.91 & 3.08 & 3.27 & 3.49 & 3.74 \\ \hline
60\% & 2.57 & 2.7 & 2.86 & 3.03 & 3.22 & 3.43 & 3.68 & 3.97 & 4.31 & 4.71 & 5.19 \\ \hline
65\% & 3.12 & 3.34 & 3.58 & 3.86 & 4.19 & 4.58 & 5.05 & 5.62 & 6.34 & 7.27 & 8.53 \\ \hline
70\% & 3.34 & 3.59 & 3.87 & 4.21 & 4.61 & 5.09 & 5.67 & 6.42 & 7.38 & 8.68 & 10.54 \\ \hline
75\% & 3.57 & 3.86 & 4.2 & 4.6 & 5.08 & 5.68 & 6.43 & 7.4 & 8.73 & 10.62 & 13.56 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Average freight unit handling time according to position occupancy level and operation repetition rate. or mixed strategies). The model is developed considering these limiting constraints. A solution based on the probability density functions of individual operations is presented. Conceptualization, M.Z. ; methodology, M.Z. ; validation, M.Z. and T.R. ; investigation, M.Z. and T.R. ; resources, M.Z. ; writing--original draft preparation, T.R. and I.B. ; writing--review and editing, T.R. and I.B. All authors have read and agreed to the published version of the manuscript. This research has no external funding. Not applicable.