## 4 Verification of the Method
### Determining the Quality of Operations and Messages  
The data were collected in a random manner, not in real-time, and each operation underwent a separate analysis. Depending on the type of activity, the time the operation was performed was measured, or it was determined on the basis of historical data from the IT system. Based on these findings, the times of timely execution of the given operations were set. In the case of the analysis of the quality of the received messages, interviews were conducted with the recipients of the messages, that is, road dispatchers, railway dispatchers, machine operators, checkers and drivers. The results of the research were processed using the Statistica 13.0 program as well as the Expert Fit tool within the Flexim software. Based on the process map (Appendix D), activities within which operations are performed and messages that must be delivered so that the operations can be performed have been distinguished. The cargo handling process at the container terminal consists of 2 sub-processes, 5 activities, 5 operations and 5 messages. In the \(a_{1}\) sub-process, three activities were distinguished (\(d_{1}\), \(d_{2}\), \(d_{3}\)), and in sub-process \(a_{2}\), two successive activities were distinguished (\(d_{4}\), \(d_{5}\)). In summary, the cargo handling process consists of two data completion operations within the system (\(b_{1}\), \(b_{2}\)), the operation of accepting the train at the terminal (\(b_{3}\)), the translocation of cargo (\(b_{4}\)) and the operation of delivering the cargo to the customer (\(b_{5}\)). The assumption, in this case, is that the trucks are ready to perform the transportation order at the terminal, exactly as it is in the real-life system. Depending on the type of operation, numerous steps occur. In the analyzed process of cargo handling, the following 5 messages were distinguished: a list with an order from the customer (\(I_{1}\)), an advice note list (\(I_{2}\)), a cargo list on a mobile device (\(I_{3}\)), a list of containers for reloading (\(I_{4}\)) and a transportation order for the haulage of cargo (\(I_{5}\)). Each message contains a specific amount of data, including data necessary to perform the operation. Based on the above, the structure of the G cargo handling process is as follows:  
\(G=\{a_{1},a_{2}\}\)--a set of sub-processes;  
\(D=\{d_{1},d_{2},d_{3},d_{4},d_{5}\}\)--a set of activities;  
\(B=\{b_{1},b_{2},b_{3},b_{4},b_{5}\}\)--a set of operations;  
\(b_{1}=\{e_{(1,1)},e_{(1,2)}\}\), \(b_{2}=\{e_{(2,1)},e_{(2,2)}\}\), \(b_{3}=\{e_{(3,1)},e_{(3,2)},e_{(3,3)}\}\), \(b_{4}=\{e_{(4,1)}\}\), \(b_{5}=\{e_{(5,1)},e_{(5,2)}\}\),--a set of individual activities of the individual operations;  
\(I=\{I_{1},I_{2},I_{3},I_{4},I_{5}\}\)--a set of messages;  
\(I_{1}=\{i_{(1,1)},\ldots,i_{(1,34)}\}\), \(I_{2}=\{i_{(2,1)},\ldots,i_{(2,39)}\}\), \(I_{3}=\{i_{(3,1)},\ldots,i_{(3,10)}\}\), \(I_{4}=\{i_{(4,1)},\ldots,i_{(4,13)}\}\), \(I_{5}=\{i_{(5,1)},\ldots,i_{(5,27)}\}\)--a set of data in individual messages;  
\(Y=\{y_{a_{1}d_{1}},\ y_{a_{1}d_{2}},y_{a_{1}d_{3}},\ y_{a_{2}d_{4}},y_{a_{2}d_{ 5}},y_{a_{1}b_{1}},\ y_{a_{1}b_{2}},\ y_{a_{1}b_{3}},\ y_{a_{2}b_{4}}y_{a_{2}b_{ 5}},\ y_{a_{1}1_{1}},\ y_{a_{1}b_{2}},y_{a_{1}b_{3}},\ y_{a_{2}1_{4}},\ y_{a_{2}b_{ 5}}\}\)--a set of process relationships. For the analysis of operation \(b_{1}\), the time taken to perform actions as part of the operation is taken into consideration. The first \(I_{1}\) message sent to the terminal is the list that includes the customer's order and, more specifically, from the ship's owner. The road dispatcher receives such a message by electronic means and completes the data in the IT system, which is available to all employees of the terminal. Therefore, operation \(b_{1}\) is a set of activities:  
\[b_{1}=\left\{e_{(1,1)},e_{(1,2)}\right\} \tag{14}\]  
The time of the operation execution, however \(t_{b_{1}}\):  
\[t_{b_{1}}=\sum_{v=1}^{2}t_{e_{(1,v)}} \tag{15}\]  
Table 3 presents the basic statistics for 255 measurements made from the sample.