Summary. The paper deals with the impact the charging railway infrastructure access has on the competitiveness of railway transport in the selected European countries. It researched into the development of indicators that indicate the competition in the railways transport market, such as volume of transport, traffic performances, and number of trains of private railway operators compared with national operators. It used the new approach for research of the share of railway transport in the transport market. The research was based on a comparative analysis of models of charging railway infrastructure, subsidies to rail infrastructure, and development of transport performances of all rail operators. The results of research are presented in terms of freight and passenger railway transport.

Currently, passengers have access to a lot of information when planning their trip by public transport. They can use a lot of applications, which are not compatible with each other. Sometimes it can be even quite difficult to collect all relevant information. The creation of one application (Travel Companion), which contains all relevant data needed for optimal planning of a trip can make travelling by public transport more attractive. This paper identifies and describes conditions for a large market uptake of the Travel Companion approach by the end-users: the travellers. The paper deals with research of the passenger's preferences and requirements for the travel companion. Research consists of four steps based on analyses of interaction points, interviews, and workshops. Every step of methodology brings interesting feedback on the design and functionality of the travel companion. The paper is based on particular results of the H2020 project -730842 Governance of the Interoperability Framework for Rail and Intermodal Mobility (GoF4R).

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Abstract-The subject of queuing theory is a mathematical analysis system (equipment), which are providing queuing. Queuing system (equipment) are providing the service with a specific type. This system can consist of one or more service points. A typical example of queuing theory in rail transport is a sale of travel ticket for passengers in railway stations. The input flow of passengers in the system is stochastic and the intensity of the input current is different during a day. During peak hours, the input flow of customers is so high that for each service line are forming the queues. The waiting time in each service line is different of depend on the services which is providing for passengers. If at railway station are located several offices (equipment) passengers can choose treasures relatively shortest queues, but this does not guarantee it for the shortest time operation.The paper deals quantification of the percentage of the production lines service (personal cash) in the railway using simulation tools.

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