Homework:Module D Homework

Question 2, Problem D.4

Part 1 of 6

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Part 1

Dr. Tarun Gupta, a Michigan vet, is running a rabies vaccination clinic for dogs at the local grade school. Tarun can "shoot" a dog every

2

minutes. It is estimated that the dogs will arrive independently and randomly throughout the day at a rate of one dog every

5

minutes according to a Poisson distribution. Also assume that Tarun's shooting times are negative exponentially distributed.

Part 2

a) The probability that Tarun is idle =

The number of dogs served per hour

()

=

per hour

(Response should be rounded to nearest 2nd decimal place)

Part 4

The number of dogs arriving per hour

()

=

per hour

(Response should be rounded to nearest 2nd decimal place)

Part 5

For M/M/1 queuing model, the relationship for P0=1

The probability that Tarun is idle =

(Response should be rounded to nearest 2nd decimal place)

Part 6

For M/M/1 queuing model, the relationship for the Utilization Factor is:

The proportion of the time that Tarun is busy =

(Response should be rounded to nearest 2nd decimal place)

Part 7

For M/M/1 queuing model, the relationship for finding the Average Number in the System is:

The average number of dogs being vaccinated and waiting to be vaccinated =

dogs

(Response should be rounded to nearest 2nd decimal place)

Part 8

For M/M/1 queuing model, the relationship for finding the Average Number in the Queue is:

The average number of dogs waiting to be vaccinated =

dogs

(Response should be rounded to nearest 2nd decimal place)

Part 9

For M/M/1 queuing model, the relationship for finding the Average Time in the Queue is:

The average time a dog waits before getting vaccinated =

minutes

(Response should be rounded to nearest 2nd decimal place)

Part 10

For M/M/1 queuing model, the relationship for finding the Average Time in the System is:

Ws=1

The average amount of time a dog spends waiting in line and being vaccinated =

enter your response here

minutes