when customers arrive at gilley’s ice cream shop, they take a number and wait to be called to purchase ice cream from one of the three counter serves. on summer days between 3-10pm, customers arrive at the rate 36 per hour – poisson distributed. it takes an average 4 minutes to serve a customer – exponential distributed. gilley’s want to make sure that customers, on average, wait no longer than 10 minutes. what is the proper queueing model for this problem?a. m/m/1 queueb. m/m/s queuec. m/m/1/c (finite capacity/finite queue)d. m/m/1/fp (finite population queue)2. what percentage of time gilley’s has no customer in the shop?a. 11.1%b. 5%c. 5.6%d. 3.5%3. what is the average number of customers waiting for the ice cream?a. 0.889 customersb. 4.933 customersc. 2.589 customersd. 1 customers4. on average, how long does it take for a customer from the moment he/she arrives until he/she gets hie/her ice cream?a. 11.59 minutesb. 5.43 minutesc. 5.78 minutesd. 8.32 minutes5. what percentage of customers who must wait for a counter server to become available?a. 42.87%b. 44.44%c. 64.72%d. 75.89%6. what is the maximum number of customers waiting in the room for the probability of 95%a. 3 customersb. 5c. 11d 18InputsTime UnitArrival Rate ( lambda )Service rate ( mu)Number of serversIntermediate calculationsAverage time between arrivalsAverage service time per serverCombined service rate ( s*mu)…
when customers arrive at gilley’s ice cream shop, they take a number and wait to be called to purchase ice cream from one of the three counter serves….
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