Two MSOM online homework

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waiting_line_problems1.docx

Waiting Line Problems

Problem 1. M/M/1

a. .90 = E6

b. 1.5 = E7

c. 18 minutes = average time a customer waits = .30 * 60 = 18 = E8

d. 30 minutes = average time a customer spends in the shop = .50 * 60 = 30 = E9

e. 60% = E5

Problem 2. M/M/1

Problem 3. M/M/1

Arrival Rate = 60/6 = 10 Service Rate = 60/4 = 15

Problem 4. M/M/1

Problem 5. M/M/1

Problem 6. M/D/1

Service Rate = 60/4 = 15

Problem 7. M/M/1

Service Rate = 60/15 = 4

Remaining problems M/M/1.