Question: According to the master distribution, 6 pieces (arrival rate) arrive at a source station on the production line, the station can process 8 (service rate) pieces per minute. Since the pieces are large sheet metal (metal pieces), the waiting kanban shelf can only take 3 pieces. In other words, a total of 4 pieces can be found in the station (3 waiting + 1 operand). a) Average number of pieces in the station b) The utilization rate of the station c) What is the cycle time of the station?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 1C
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Question: According to the master distribution, 6 pieces (arrival rate) arrive at a source station on the production line, the station can process 8 (service rate) pieces per minute. Since the pieces are large sheet metal (metal pieces), the waiting kanban shelf can only take 3 pieces. In other words, a total of 4 pieces can be found in the station (3 waiting + 1 operand).

a) Average number of pieces in the station
b) The utilization rate of the station
c) What is the cycle time of the station?

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