3. The ideal cycle time of an assembly machine is 4 sec. The parts feeder at one of the workstations has a feed rate of 90 components/min and the probability that the components will pass through the selector is 25%. The active length of the feed track (where the high-level sensor is located) is 400 mm. The low-level sensor on the feed track is located 100 mm from the station work head. The components have a length of 10 mm 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? (c) What are the time proportions that the feeder-selector device is turned on and turned off?

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3. The ideal cycle time of an assembly machine is 4 sec. The parts feeder at one of the
workstations has a feed rate of 90 components/min and the probability that the components will
pass through the selector is 25%. The active length of the feed track (where the high-level sensor
is located) is 400 mm. The low-level sensor on the feed track is located 100 mm from the station
work head. The components have a length of 10 mm 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? (c) What are the time proportions that
the feeder-selector device is turned on and turned off?
PToff = Tde/T
= 1.667min/15min
= 0.11
Transcribed Image Text:3. The ideal cycle time of an assembly machine is 4 sec. The parts feeder at one of the workstations has a feed rate of 90 components/min and the probability that the components will pass through the selector is 25%. The active length of the feed track (where the high-level sensor is located) is 400 mm. The low-level sensor on the feed track is located 100 mm from the station work head. The components have a length of 10 mm 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? (c) What are the time proportions that the feeder-selector device is turned on and turned off? PToff = Tde/T = 1.667min/15min = 0.11
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