Probability of zero ferries in the ship yard

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1. A ship yard with 3 Dry Docks to repair ferry ships, one phase repair, any ferry ship can come in. One Queue. Arrival rate of ferries: Poisson distribution, mean= 9 and STD= 1 Service rate: Negative exponential distribution, mean = 3.2 and STD= 0.6 First come first serve rule. Find the following: Probability of 0 ferries in the ship yard.

a) Average number of ferries in the system (waiting and being served).

b) Average time a ferry spends in the system (waiting time plus service time).

c) Average number of the ferries waiting in the queue.

d) Average time a ferry spends waiting in the queue.

2. New employees in bureaucratic organizations usually have ___________ into the basic operating rules and procedures for getting things done.

a. limited group consensus b. much impact c. strong feedback d. limited input e. consistent control

3. A ship yard with 1 Dry Dock to repair ferry ships, one phase repair, any ferry ship can come in. One Queue Arrival rate of ferries: Poisson distribution, mean= 9 and STD = 1 Service rate: Constant, 10 First come first serve rule. Find the following:

a- Average number of ferries in the system (waiting and being served).

b- Average time a ferry spends in the system (waiting time plus service time).

c- Average number of the ferries waiting in the queue.

d- Average time a ferry spends waiting in the queue.

Reference no: EM132182811

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