The new emerging energy market structures allow for a high competition between utilities. The reliability is of a major interest for specialists with a view to improve the quality of supply and to optimize the corresponding economical indices. Unfortunately, in the new restructured electrical power systems many reliability aspects are neglected and the consequences are and could be severe. In some countries there are national or regional bodies, like NERC in USA, involved in global quality and reliability analysis. The paper is dedicated to the review of most important customer and load oriented reliability indices focusing on the importance of a more detailed and refined approach in considering the primary reliability parameters in Romania compared to the actual standards and prescriptions. A study case based on a real network is finally presented revealing the different reliability indices and some influence due to network components reliability, network structure, human errors and adverse weather.