One of the most important characteristics of transport systems is the reliability of their performance. Significant global efforts are being made in this direction, both by the relevant government structures, and individual transport operators. These efforts are justified because improvements in the sphere of safety and reliability entail considerable benefits to transport users (reducing the waiting time of passengers, improving the quality of service in general, increasing supply chains reliability level, etc.) and for operators offering such a service (higher level of competitiveness, more revenues, etc.). This article examines the nature, existing problems and opportunities for improvement of approaches and methods of analysis, evaluation and management of exploitation reliability (and respectively transport service quality) of transport systems.