A single-channel queuing system has an average service time of 10 minutes and an
average time between arrivals of 15 minutes. What is the arrival rate?
The sensitivity range for a(n) ________ coefficient is the range of values over which
the current optimal solution point (product mix) will remain optimal.
The ________ of sample information is the ratio of the expected value of sample
information to the expected value of perfect information.
________ is the amount of time an activity can be delayed without delaying the project.
You have been asked to select at least 3 out of 7 possible sites for oil exploration.
Designate each site as S1, S2, S3, S4, S5, S6, and S7. The restrictions are:
Restriction Evaluating sites S1and S3 will prevent you from exploring site S7.
Restriction Evaluating sites S2or S4 will prevent you from assessing site S5.
Restriction Of all the sites, at least 3 should be assessed.
Assuming that Si is a binary variable, write the constraint(s) for the second restriction.
________ is the Difference between the left- and right-hand sides of a greater than or
equal to constraint.
A situation in which a mechanic is responsible for repairing a pool of fleet vehicles
should be analyzed for a waiting line system with a ________ calling population.
Madlantic Devices designs and manufactures high-end medical devices. The facilities
in Madison and Atlanta serve as design and component manufacturing facilities.
Components are then shipped to warehouses in Philadelphia or Knoxville, where they
are held until final assembly is completed at either Dayton, Bloomington, or Albany.
Manufacturing capacity in Madison and Atlanta is 1000 units. Demand at Dayton,
Bloomington, and Albany is 450, 500, and 610, respectively.
The network representing the shipping routs is shown below.
The costs for shipping between each facility is shown below. A blank cell indicates that
shipping between two facilities is not permitted.
What is the constraint for Bloomington?
An answering service for a doctor’s office wants to evaluate the service by simulation
calls. They used past data to determine the distributions for the time between calls and
the time spent on the phone with patients.
Use the table below to manually simulate 8 calls. The time of the call and the service
time have already been determined.
Calculate the average waiting time per customer.
Calculate the utilization of the operator.
________ demand items are generally final products demanded by customers.
What are some different types of decision support systems?
A company produces item Y, and uses the basic EOQ model for managing its inventory.
Lead time to obtain item Y is two weeks. Demand is normally distributed with a mean
of 400 units per week and a standard deviation of 40 units per week. The desired
service level is 98.5%. The ordering cost is $20, and carrying cost is 20% of the items
cost, which is $10.Determine the total annual inventory cost for product Y. Include the
item cost in your calculations. (Assume 52 weeks of operation per year.)
Consider the following transportation tableau with the initial solution provided. Use the
stepping stone method to identify a better allocation.
Given the nonlinear programming model Max Z = 5x1 – 2x2
2
Subject to: x1 + 4x2 = 6
What is the Lagrangian function?
5x1 – 2x2
Consider the curve 7x2 – 14x + 28. What is the second derivative at x = 10?
Students are organizing a “Battle of the Bands” contest. They know that at least 100
people will attend. The rental fee for the hall is $150 and the winning band will receive
$500. In order to guarantee that they break even, how much should they charge for each
ticket?
A large book publisher has five manuscripts that must be edited as soon as possible.
Five editors are available for doing the work; however, their working times on the
various manuscripts will XOAXOAer based on their backgrounds and interests. The
publisher wants to use an assignment method to determine who does which manuscript.
Estimates of editing times (in hours) for each manuscript by each editor are:
How many variables are involved in this assignment method?
Assume X has the following probability distribution:
X 1 2 3 4
P(X) .1 .5 .2 .2
Compute the standard deviation of X.
________ is a risk analysis and forecasting program that uses Monte Carlo simulation.