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Go-Fast Travel Agency (GFT) has a phone reservation system with 5 lines answered

ID: 444403 • Letter: G

Question

Go-Fast Travel Agency (GFT) has a phone reservation system with 5 lines answered by one travel agent. That means 4 customers can be placed on hold while one is being served. If all 5 lines are in use, a new caller will get a busy signal. Potential customers call GFT on average every 15 minutes (exponential distribution). An average phone call lasts 12 minutes (exponential distribution). Answers are in bold but I need step by step on how to get the answers.

12. What is the queueing model for this problem?

a. M/M/1 queue

b. M/M/s queue

c. ***M/M/1/C (finite capacity/finite queue)

d. M/M/1/FP (finite population queue)

13. What percentage of phone calls receives a busy signal?

a. 1.9200%

b. 1.5873%

c. 3.2626%

d. ***8.8819%

14. What is the average number of phone lines in use?

a. 1.2063 lines

b. 0.9048 lines

c. 1.2984 lines

d. ***1.8683 lines

15. On average per hour, how many customers cannot get through to the travel agent?

a. ***0.3553 customers per hour

b. 0.0978 customers per hour

c. 0.0576customers per hour

d. 0.0476 customers per hour

16. On average, how long must a customer wait before his/her call is answered?

a. ***18.76 minute

b. 14.47 minutes

c. 8.39 minutes

d. 12.94 minutes

Explanation / Answer

Go-Fast Travel Agency (GFT) has a phone reservation system with 5 lines answered

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