Electric power systems have been changing from the conventional and traditional electric units to the efficient, economical, less-polluting and reliable ones. Building cooling, heating and power (BCHP) systems can yield these goals and save energy as well as improve the reliability of the system. However, for significant integration and the use of large amount of BCHP generation in electric power systems, some approaches should be followed in order to study the reliability of the BCHP systems. In this study, we focused on the reliability aspects of power systems incorporating BCHP systems in the local distribution systems. The Markov method based on the state-space analysis is used to investigate the impacts of implementation of BCHP systems on the power systems' reliability. The Markov method is well suited to analyze the reliability of systems based on a continuous stochastic process. The Roy Billinton test system and the IEEE reliability test system are used to illustrate the results. Case studies show the effects of BCHP systems on general adequacy of electric power systems. Various case results demonstrate the efficiency and effectiveness of the proposed method. (C) 2015 Elsevier B.V. All rights reserved.