Question

The failure rate for each component of a 2-component series system is assumed to be one failure per 1,000 hours of operation, and the switch reliability of replacing a failed component with a spare one is 1.0. Given that there is a spare component, a. Calculate the reliability of the system for a period of 1,000 hours assuming no other failure is possible. b. Determine the approximate MTBF of the system. c. What is the system MTBF without the spare component

Answer 1

a. The reliability of the system for a period of 1,000 hours, assuming no other failure is possible is:

= 99.9%.

b. The approximate MTBF (Mean Time Between Failures) without the spare component is:

1,000 hours.

Step-by-step explanation:

a) Data and Calculations;

Failure rate of each component of a 2-component series system = 1/1,000 = 0.001

Therefore, the reliability rate = 1 - 0.001 = 0.999 = 99.9%

The switch reliability of replacing a failed component with a spare one = 1.0

The system's reliability = Mean Time Between Failure (MTBF) minus the Mean Time to Repair (MTTR)

= 1,000 - 1.0 = 999 hours out of 1,000

b)The equipment's Mean time between failures (MTBF) is the average time it takes the equipment or system to suffer a breakdown. Engineers, vendors, and system analysts use the MTBF metric to measure an equipment's performance, safety, and design reliability.