Questions from Management Science

Q: An extremely important concept in queueing models is the difference between rates

An extremely important concept in queueing models is the difference between rates and times. If  represents a rate (customers per hour, say), then argue why 1/ is a time and vice versa.

Q: The Decision Sciences Department is trying to determine whether to rent a

The Decision Sciences Department is trying to determine whether to rent a slow or a fast copier. The department believes that an employee’s time is worth $15 per hour. The slow copier rents for $4 per...

Q: The MM1 Template.xlsx file is now set up so that

The MM1 Template.xlsx file is now set up so that you can enter any integer in cell E11 and the corresponding probability of that many in the system appears in cell F11. Change this setup so that colum...

Q: The MM1 Template.xlsx file is now set up so that

The MM1 Template.xlsx file is now set up so that when you enter any time value in cell H11, the formula in cell I11 gives the probability that the wait in queue will be greater than this amount of tim...

Q: For a telephone survey, a marketing research group needs to contact

For a telephone survey, a marketing research group needs to contact at least 600 wives, 480 husbands, 400 single adult males, and 440 single adult females. It costs $3 to make a daytime call and (beca...

Q: Expand the MM1 Template.xlsx file so that the steady-

Expand the MM1 Template.xlsx file so that the steady-state probability distribution of the number in the system is shown in tabular form and graphically. That is, enter values 0, 1, and so on (up to s...

Q: For an M/M/1 queueing system, L =

For an M/M/1 queueing system, L =  /(µ - ). Suppose that l and µ are both doubled. How does L change? How does W change? How does WQ change? How does LQ change?

Q: Suppose that you observe a sequence of interarrival times, such as

Suppose that you observe a sequence of interarrival times, such as 1.2, 3.7, 4.2, 0.5, 8.2, 3.1, 1.7, 4.2, 0.7, 0.3, and 2.0. For example, 4.2 is the time between the arrivals of customers 2 and 3. If...

Q: In the M/M/s model, where µ is

In the M/M/s model, where µ is the service rate per server, explain why  , µ is not the appropriate condition for steady state, but  , sµ is.

Q: Expand the MMs Template.xlsm file so that the steady state

Expand the MMs Template.xlsm file so that the steady state probability distribution of the number in the system is shown in tabular form and graphically. That is, enter values 0, 1, and so on (up to s...