Calls arrive at Lynn Ann Fish's hotel switchboard at a rate of 2 per minute. The average time to handle each is 20 seconds. There is only one switchboard operator at the current time. The Poisson and negative exponential distributions appear to be relevant in this situation.

What is the average number of calls waiting to be answered?

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of $\lambda=$ 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or $\mu=90$ per hour (according to a negative exponential distribution). Compute the following:

The percentage of time that the machine is used.

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of $\lambda=$ 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or $\mu=90$ per hour (according to a negative exponential distribution). Compute the following:

The average number of students in the system.

There is only one copying machine in the student lounge of the business school. Students arrive at the rate of $\lambda=$ 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds, or $\mu=90$ per hour (according to a negative exponential distribution). Compute the following:

The average time in the system.

The most that a person should pay for perfect information is:

a) the EVPI.

b) the maximum EMV minus the minimum EMV.

c) the minimum EMV.

d) the maximum EMV.

When applying LP to diet problems, the objective function is usually designed to:

a) maximize profits from blends of nutrients.

b) maximize ingredient blends.

c) minimize production losses.

d) maximize the number of products to be produced.

e) minimize the costs of nutrient blends.

Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed.

What is the average time a car is in the queue?

What are the sources of energy the foodservice industry uses?

The pharmacist at Arnold Palmer Hospital, Wende Huehn-Brown, receives 12 requests for prescriptions each hour, Poisson distributed. It takes her a mean time of 4 minutes to fill each, following a negative exponential distribution. Use the waitingline table, Table D.5, and $W_q=L_q / \lambda$, to answer these questions.

How long will the average prescription spend in the queue?

Show how the average time a customer must wait for a teller depends on the number of servers.

A route sheet:

a) lists the operations necessary to produce a component.

b) is an instruction to make a given quantity of a particular item.

c) is a schematic showing how a product is assembled.

d) is a document showing the flow of product components.

e) all of the above.

Automobiles arrive at the drive-through window at the downtown Baton Rouge, Louisiana, post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriate for the arrival rate and service times are negative exponentially distributed.

What percentage of the time is the postal clerk busy?

Do doctors' offices generally have random arrival rates for patients? Are service times random? Under what circumstances might service times be constant?

Provide examples of four situations in which there is a limited, or finite, waiting line.