The author, in this paper, has considered a refrigeration plant for analysis of its some important performance measures. This refrigeration plant has a single compressor with multi-evaporators. Boolean function technique has been used to formulate and solve the mathematical model. Reliability of the system has been obtained in two cases: (i) when failure rates follow exponential time distribution, and (ii) when failure rates follow Weibull time distribution. Mean time to failure of the system has also been given at the end. One numerical example together with the graphical illustration has been appended at the end to highlight the important results of the study.