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Bottleneck rate of a production line (rb) = the effective production rate of the workstation in the production line that has the highest utilization in

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Bottleneck rate of a production line (rb) = the effective production rate of the workstation in the production line that has the highest utilization in that production line the maximum number of parts that the workstation can process per unit time Problem 2. Consider a simple production line with 2 workstations with no internal stockpoints (i.e. there is one inbound stockpoint at the start of the production line and one outbound stockpoint at the end of the production line). Assume r 0.5?) Arrival rate of input parts per minute = r (i.e. r parts arriving at the inbound stockpoint of station 1 per minute) Station 1 Station 2 Effective production rate of station 1 = 1 part per minute Effective production rate of station 2 = 0.5 part per minute (a) Which station is the bottleneck of the production line? (b) Again, consider a simple 2-workstation production line: y Arrival rate of input parts per minute =r (i.e. r parts arriving at the inbound stockpoint of station 1 per minute) Station 1 Station 2 (1-y) Effective production rate of station 1 = 1 part per minute Effective production rate of station 2 = 0.5 part per minute For (b), the yield of Station 1 = y i.e. only y100% of the output parts from Station 1 are usable by Station 2; (1-y)100% of the output by Station 1 are discarded because of insufficient quality Which station is the bottleneck of this production line? Bottleneck rate of a production line (rb) = the effective production rate of the workstation in the production line that has the highest utilization in that production line the maximum number of parts that the workstation can process per unit time Problem 2. Consider a simple production line with 2 workstations with no internal stockpoints (i.e. there is one inbound stockpoint at the start of the production line and one outbound stockpoint at the end of the production line). Assume r 0.5?) Arrival rate of input parts per minute = r (i.e. r parts arriving at the inbound stockpoint of station 1 per minute) Station 1 Station 2 Effective production rate of station 1 = 1 part per minute Effective production rate of station 2 = 0.5 part per minute (a) Which station is the bottleneck of the production line? (b) Again, consider a simple 2-workstation production line: y Arrival rate of input parts per minute =r (i.e. r parts arriving at the inbound stockpoint of station 1 per minute) Station 1 Station 2 (1-y) Effective production rate of station 1 = 1 part per minute Effective production rate of station 2 = 0.5 part per minute For (b), the yield of Station 1 = y i.e. only y100% of the output parts from Station 1 are usable by Station 2; (1-y)100% of the output by Station 1 are discarded because of insufficient quality Which station is the bottleneck of this production line

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