Consider the checkout process of a grocery store with ten identical cashiers performing the checkout process. First, assume that each cashier has her own separate checkout queue and that customers arrive at each case with an average arrival rate of 12 per hour. It takes 4.8 minutes on average to check a customer out. Assume that both the inter-arrival times and service times have a coefficient variation of 1. 1) How long on average does a customer wait from joining the queue in front of a cashier until her checkout is complete? 2) On average, how many customers are waiting in the queue in total? ( Including all queues)? 3) Now suppose the ten queues are pooled tog
Consider the checkout process of a grocery store with ten identical cashiers performing the checkout process. First, assume that each cashier has her own separate checkout queue and that customers arrive at each case with an average arrival rate of 12 per hour. It takes 4.8 minutes on average to check a customer out. Assume that both the inter-arrival times and service times have a coefficient variation of 1.
1) How long on average does a customer wait from joining the queue in front of a cashier until her checkout is complete?
2) On average, how many customers are waiting in the queue in total? ( Including all queues)?
3) Now suppose the ten queues are pooled together so that there is one common queue. Repeat your calculations for part a and b, compare the results, and explain the difference
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