## 4 Results  
The experts who took part in the study rated the links between the various forms of network coordination and then the network coordination mechanisms by weight. A heatmap showing the number of occurrences of each rating for each rated element is presented in Figure 7.  
The elements of logistics coordination that the experts indicated most often as elements to the right of the heatmap are presented in Figure 3, and at the same time the elements that most often had a strong advantage over the elements compared, were the management of network participants' resources from the logistics operator level and the forecasting of flows in the network. The latter element showed a deeper embeddedness with a greater impact on the other elements. Therefore, it can be concluded that these elements are the elements most often indicated by experts as those with the greatest advantage over the others in the coordination of omni-channels from the position of the logistics operator. Demand forecasting by the operator can bring a number of benefits, such as the fact that operator-generated forecasts can support the demand plans of producers in distribution networks [13] but also increase flexibility in response to fluctuations in demand that would be signalled by a well-structured forecasting system. Resources management in the network from an operator's perspective is also an important element, which is a well-constructed system of resources management of the individual links in the network and will enable a reduction in the overall stock level, as well as a better availability of products from stock. On the other hand, the most frequently selected element that had the least importance in logistical coordination is the one related to the organisation of transport and extraordinary transport. Thus, the experts indicated that, according to past experience, extraordinary transport is not a mechanism commonly used in the coordination of flows in omni-channel systems. Among the mechanisms characteristic of the market, hierarchical and social forms, price, organisational integration, and trust are the most important. Tables 4-8 show the arithmetic averages and medians obtained from the given assessment. The given numerical values were presented as x(y), where x is the value corresponding to the mean of the results obtained; and y is the value corresponding to the median of the results obtained. Results were presented rounded to two decimal places. Based on the averaged expert responses (Table 5), logistics coordination is deemed more important than other forms of network coordination. Given the survey's focus on the logistics operator's role, this result is expected. Experts recognize the significant role of logistics functions and services in distribution networks. Interestingly, experts prefer the hierarchical form over the social and market forms, with the social form slightly edging out the market form. Based on the averaged expert responses (Table 6), the importance of various elements in logistics coordination is ranked as follows: network flow forecasting, resource management at the operator level, demand management, logistical information management at the operator level, human resources and network infrastructure management, and the organisation of transport and extraordinary transport. The experts also determined the importance of the different elements related to market coordination mechanisms (Table 7), ranking them as follows: price, formal relationships, and bilateral collateral. Based on the experts' averaged assessment (Table 9), it can be concluded that the hierarchy of importance of the different hierarchical coordination mechanisms is as follows: organisational integration, structures and control systems resulting from management style, and the bureaucratic allocation of resources.