Arrival rate in a single-channel queuing system

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Reference no: EM133891214

Questions

QUME 507 M4A

1. Exercises What is the most important difference between PERT and CPM?

2. What is the problem of the waiting line? What are the components of a waiting line system?

3. Why should the service rate be higher than the arrival rate in a single-channel queuing system?

4. Give an example of a situation where the cost of wait time is based on the wait time in the queue. Give an example of a situation in which the cost of the timeout is based on the timeout in the system.

5. Cars arrive at the service window at a post office at a rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is adequate for the arrival rate and service times are distributed exponentially.

a. What is the average time a car is in the system?

b. What is the average number of cars in the system?

c. What is the average time cars spend waiting for service?

d. What is the average number of cars that are in the line behind the customer who is receiving the service?

e. What is the probability that there are no cars at the window?

f. What is the percentage of time that the postal employee remains occupied?

g. What is the probability that there are exactly two cars in the system?

Reference no: EM133891214

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