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Tram transport is a type of rail transport used within the urban public transport. At present, trams are usually equipped with the electric drive and electric current is drawn from the trolley line using the trolley booms. Unlike rail transport, tram transport is often built within the roads, carries only the passengers and has shorter distances among stops, lighter and shorter vehicles, and shorter transport intervals, etc. In some countries, it is common that tram and rail subsystems are interconnected. Tramways also include the fast trams which are operated in a slightly different way. For example, they are always conducted beside the roads to avoid the congestions, and are also used as a backbone transport mode. Fast tram is most common in the United States of America that were pioneer of a revolution in transport. This revolution represented a fundamental impulse for the globalization initiation in the world. This paper deals with the practical solution and proposals in context of optimizing the timetables within tram subsystem. At the beginning of the paper, individual advantages and disadvantages of tram subsystem from the global conception are presented. The following chapter outlines the theoretical basis regarding the quality evaluation of tram system. The most important part of the paper presents a specific model example to optimize using the heuristic algorithm to coordinate the tram subsystem lines. Undoubtedly, tram system may help to achieve better managing the growth in the transportation demands and impact of the globalization in passenger transport.