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While the shoppers’ opinions vary on self checkout, self checkout does mitigate the curse of variability to some extent – which is it? Lower average processing times Less customer cursing Lower variability in processing times Pooling multiple queues into one Question 5 1 pts The two pictures below show us what happens when we pool servers & when we decrease the variability. Graph is based on a variability factor of 1 frandom arrivals & processes). Numbers on curves indicate number of pooled servers More pooled servers Avg. Inventory In queue (avg time in queue) N 0 02 0.3 0.4 0.8 0.9 0.5 0.6 0.7 Utilization Less variability 0.5 0.1 Avg. Inventory In queue (avg time in queue) 4 Graph assumes 1 server. Nurnbers on curves 2 Indicate the variability factor 0 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Utilization Let’s say that we are in a system with 10 un-pooled servers and a variability factor of 1 and we currently have an average inventory in the queue of 4 since we have a utilization of 80%. If we want to cut the average inventory in the queue in half, then what should we do? Cut the variability by a factor of 10 Pool all servers Create five sets of 2 pooled servers O Create 2 sets of 5 pooled servers
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