Reference no: EM132221778
(Quick Lube) Quick Lube operates a fast lube and oil change garage with three stations. One station serves customers in a mean of 1/4 hours with a standard deviation of 1/4 hours. On a typical day, customers arrive in a mean of 1/3 hours with a standard deviation of 1/3 hours.
1. (Quick Lube) Use the queueing template posted on Blackboard to calculate the average flow times (W) of two options for operating the three stations. (One pooled queue) 3 stations operating as 1 queue with an arrival rate of 3 Let: mean arrival time = 1/3, standard deviation of arrival time = 1/3, mean service time = 1/4, standard deviation of service time = 1/4, and the number of servers = 3. The average flow time of one pooled queue is ___. [Answer format: three decimal places] (Three separate queues) 3 stations operating as 3 queues with an arrival rate of 1 In this case, each station operates separately as one queue. It suffices to find the average flow time for one of the three queues. Since the arrival rate of one queue is 1, let: mean arrival time = 1, standard deviation of arrival time = 1, mean service time = 1/4, standard deviation of service time = 1/4, and the number of servers = 1. The average flow time of three separate queues is ___. [Answer format: three decimal places] Write your answer(s) as 1.234, 5.678
2. (Quick Lube) Compare one pooled queue and three separate queues. ___ is(are) better in terms of average flow time and ___ is(are) better in terms of customer's psychological perceptions (e.g., fairness). A) one pooled queue, one pooled queue B) one pooled queue, three separate queues C) three separate queues, one pooled queue D) three separate queues, three separate queues.