McNeese is determining the staffing level for their credit union located within the university, and has...
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McNeese is determining the staffing level for their credit union located within the university, and has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller E [7] = 10 minutes to successfully open an account (equivalent to a = 6 per hour) and the average arrival rate has been A = 6 per hour. As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times. After meeting with McNeese's upper- administration, the manager of the credit union is considering two possible scenarios for the service layout: . Scenario 1: two M/M/1 (dedicated) queues that each serve A/2 arrivals . Scenario 2: one M/M/2 (pooled) queue that serves all à arrivals A queuing analysis was conducted on each scenario, and the results are as follows: Scenario 1 Scenario 2 Utilization factor P=0.50 P=0.50 Mean number in the queue E[L]=0.50 customers E[L]=0.37 customers For Scenario 1, what is the average time in line (minutes) for a customer, E [W]? (Hint: remember to use the correct arrival rate detailed in the first bullet point above.) Using your answer to the above question, what is the average number in the queue E [L] for 8 = 3? O a. 1.02 customers O b. 2.03 customers Oc. 0.85 customers O d. 0.07 customers Using your answer to the above question, determine the total cost f(s) for s= 3. H $158 + $11E [L] O a. $54.35 O b. $45.77 OC $56.22 Od. $67.33 McNeese is determining the staffing level for their credit union located within the university, and has recently hired two tellers (servers). The beginning of the fall semester is their busiest time, with incoming freshmen and transfer students opening accounts. On average, it takes a teller E [7] = 10 minutes to successfully open an account (equivalent to a = 6 per hour) and the average arrival rate has been A = 6 per hour. As always, we use the exponential distribution as a reasonable approximation for both the interarrival and service times. After meeting with McNeese's upper- administration, the manager of the credit union is considering two possible scenarios for the service layout: . Scenario 1: two M/M/1 (dedicated) queues that each serve A/2 arrivals . Scenario 2: one M/M/2 (pooled) queue that serves all à arrivals A queuing analysis was conducted on each scenario, and the results are as follows: Scenario 1 Scenario 2 Utilization factor P=0.50 P=0.50 Mean number in the queue E[L]=0.50 customers E[L]=0.37 customers For Scenario 1, what is the average time in line (minutes) for a customer, E [W]? (Hint: remember to use the correct arrival rate detailed in the first bullet point above.) Using your answer to the above question, what is the average number in the queue E [L] for 8 = 3? O a. 1.02 customers O b. 2.03 customers Oc. 0.85 customers O d. 0.07 customers Using your answer to the above question, determine the total cost f(s) for s= 3. H $158 + $11E [L] O a. $54.35 O b. $45.77 OC $56.22 Od. $67.33
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Part 1 007 Part 2 4577 Ans Expected Here 1 11 so number of customers queue S L... View the full answer
Related Book For
Operations Management Processes and Supply Chains
ISBN: 978-0133872132
11th edition
Authors: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
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