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The present paper deals with the system model having two non-identical units A and B arranged in parallel configuration. Initially both the units are operative. The unit A does not work in bad weather conditions and unit A takes some activation time before starting its operation after disappearance of bad weather conditions and repair. Unit A gets priority for repair and activation over unit B. A single repair facility is always available with the system to repair a failed unit and for activation. All the failure time distributions are taken to be negative exponential. All the repair time distributions are taken as arbitrary. Distribution of occurrence and disappearance of bad weather conditions and time required for activation are also taken as exponential.