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(15%) In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson

  1. (15%) In a waiting line situation, arrivals occur at a rate of 2 per minute, and the service times average 18 seconds. Assume the Poisson and exponential distributions, only one server.
    1. What is ?
    2. What is ?
    3. Find probability of no units in the system.
    4. Find average number of units in the system.
    5. Find average time in the waiting line.
    6. Find average time in the system.
    7. Find probability that there is one person waiting.
    8. Find probability an arrival will have to wait.

SOLVE THE PROBLEM, SHOW YOUR CALCULATIONS USING EXCEL if you

show me numerical results only I will assume you got it from somewhere else.

  1. Given the costs below, draw a network representation for this problem.

Repair Shops

Used Car Lots

S1

S2

L1

L2

L3

Auction 1

550

500

S1

250

300

500

Auction

2

600

450

S2

350

650

450

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