Reliability function, R(t), is defined as the probability that the system will not fail during the stated\r\nperiod of time under a given operating conditions. In production process, attaining reliability as a\r\nfunction of time is a common task but in multi-stage services, it is not straightforward due to intricacy\r\nof gathering data. Through the present work, we have addressed a systematic method for measuring\r\nmulti-stage service reliability function using failure rate analysis beside a systematic six sigma\r\napproach to improve total system reliability. The proposed methodology furthermore could help\r\npractitioners to integrate six sigma metrics with the reliability function and the way to measure existing\r\nreliability situation based on sigma level. The proposed method is applied in a given multi-stage central\r\nrepairing shop for an automobile producer which promotes 86% in total system reliability beside 58%\r\nimprovement in the sigma level.
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