Problem 17.3:  the ideal cycle time of an assembly machine is 5 sec.  the parts feeder at one of the workstations has a feed rate of 75 components/min and the probability that the components will pass through the selector is 18%.   The active length of the feed track (where the high-level sensor is located) is 350mm.  the low-level sensor on the feed track is located 100mm from the station work head.  The components have a length of 12.5mm in the feed track direction, and there is no overlapping of parts.  (a) How long will it take for the supply of parts to be depleted from the high-level sensor to the low-level sensor once the feeder-selector device is turned off? (b) How long will it take for the parts to be resupplied from the low-level sensor to the high-level sensor, on average, after the feeder-selector device is turned on and turned off?

Question

Problem 17.3:  the ideal cycle time of an assembly machine is 5 sec.  the parts feeder at one of the workstations has a feed rate of 75 components/min and the probability that the components will pass through the selector is 18%.   The active length of the feed track (where the high-level sensor is located) is 350mm.  the low-level sensor on the feed track is located 100mm from the station work head.  The components have a length of 12.5mm in the feed track direction, and there is no overlapping of parts.  (a) How long will it take for the supply of parts to be depleted from the high-level sensor to the low-level sensor once the feeder-selector device is turned off? (b) How long will it take for the parts to be resupplied from the low-level sensor to the high-level sensor, on average, after the feeder-selector device is turned on and turned off? 

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