question archive An aircraft manufacturing plant uses a large number of rivets called fasteners when assembling the fuselage of a plane
An aircraft manufacturing plant uses a large number of rivets called fasteners when assembling the fuselage of a plane
Subject:MathPrice: Bought3
An aircraft manufacturing plant uses a large number of rivets called fasteners when assembling the fuselage of a plane. Many small teams of workers operate on different areas of the aircraft in parallel. Each team gets the fasteners it needs from its inventory holding cart. Each team's inventory holding cart uses a two-bin system: each bin contains 250 units when full, and workers initially take any needed fasteners from the first bin. Immediately after the first bin is emptied, a replenishment order for a new (full) bin is placed and the workers begin taking rivets from the second bin until emptied, etc. It takes exactly 3 hours for a replenishment order to arrive from the plant's central supply room. Assume the following: • Workers only work on one aircraft fuselage at a time • Demand of fasteners in different hours are independent from each other Q2.1 - If a team's hourly demand during fuselage assembly is normally distributed with an average of 60 fasteners per hour and a standard deviation of 30 fasteners per hour, what is the probability of a fastener stock-out for that team during any replenishment / bin replacement cycle? Q2.2 - Under the same demand assumptions as in Q2.1, what is the minimum number of fasteners that a full bin should contain in order to keep the probability of a stockout during any replenishment / bin replacement cycle below 1%?
