eng Science and Education Publishing American Journal of Applied Mathematics and Statistics 2328-7292 2018-06-22 6 3 109 114 10.12691/ajams-6-3-4 AJAMS2018634 article Narender Singh shiviswarhansunandu.1988@email 1 Dalip Singh 1 Meenaxi 1 Department of mathematics, M.D. University, Rohtak, India This paper express reliability measures of a cold standby system which have two units. In cold standby system one unit operative and other unit kept as a spare. In the system both the unit kept as non-identical. The each operative unit fails due to snowstorm with different failure rate. The system completely failed when the both two units are failed. The failed unit cannot be operative directly by the repairman. The failed unit under the snow, first digging out from the snow then hospitalize (repair) the unit after that the unit becomes operative. Some properties of reliability system such as mean time to system failure, availability and profit have been computed. At last particular cases have been taken to explain the model. http://pubs.sciepub.com/ajams/6/3/4/ajams-6-3-4.pdf non-identical units snowstorms digging out