This paper is to propose tolerance intervals for expected time at the given reliability and confidence level for continuous and discrete reliability model. We consider guaranteed - coverage tolerance intervals, that is, reliability - confidence level tolerance intervals. These proposed methodologies can be applied to any industrial application where the customer's operating specification require a high level of reliability.

This paper considers automated storage and retrieval systems with double shuttle. We develop the travel time model based on the first come first service rule. We evaluate the performance of the double shuttle system working on the four command cycle.