Questions and Answers of Introduction To Management Science 13th

When applying the nonpreemptive priorities queueing model to the Dupit case study, what are the two priority classes?
What is the formula that relates W and Wq?
Compare the M/M/s and M/D/s models in terms of the amount of variability in the service times.
What are two ways of designing queueing systems with multiple servers and why might having single server parallel queues be better?
What is the common effect of combining separate single-server queueing systems into one multiple-server queueing system (without changing the utilization factor)?
Under Dupit’s current policy, what is the average waiting time of customers until service begins on their failed machines?
How would you characterize the amount of variability in the times given by the exponential distribution?
In the queueing system interpretation of this problem, what are the customers? The server?
For these models, which values of the utilization factor ρ enable the queueing system to reach a steady-state condition for all priority classes?
What is meant by a queueing system being in a steady-state condition?
How many one-person tech rep territories need to be combined into a larger territory being served by multiple tech reps in order to satisfy Dupit’s proposed new service standard?
What is social loafing in this context and why might it occur?
What does the Acme Machine Shop example demonstrate about the advisability of always maintaining a relatively high utilization factor for the servers in a queueing system?
For an M/G/1 queueing system, does cutting the variability (standard deviation) of service times in half provide most of the improvement that would be achieved by completely eliminating the
Which values of ρ correspond to the server in a single-server queueing system having a manageable utilization factor that allows the system to reach a steady-state condition?
What are transportation service systems? Also give a new example (not included in Table 13.4) of such a system, including identifying the customers and server. Data from Table 13.4Examples of
What is the shape of the exponential distribution?
What are the alternative approaches that have been suggested for dealing with the issue facing top management?
Except for using nonpreemptive priorities, the assumptions of the nonpreemptive priorities model are the same as for which basic queueing model?
What are the four basic measures of performance based on expected values? What are their symbols?
Are there any measures of performance that can be calculated for the M/M/1 model but not the M/M/s model?
What is server speedup and why might it occur?
What are internal service systems? Also give a new example (not included in Table 13.3) of such a system, including identifying the customers and server.Data from Table 13.3 Examples of Internal
When the waiting cost is proportional to the amount of waiting, what is an expression for the waiting cost?
What is the effect of decreasing the variability of service times (without any change in the mean) on the performance of a single-server queueing system?
For which measures of performance (both expected values and probabilities) are formulas available for the M/M/1 model?
What is the relationship between the mean arrival rate and the mean of the probability distribution of interarrival times?
What is the proposed new service standard?
Except for using preemptive priorities, the assumptions of the preemptive priorities model are the same as for which basic queueing model?
Which type of measure of performance tends to be more important for commercial service systems?
What is the analogy between behavioral queueing theory and behavioral economics?
What is the nature of the waiting cost when the customers for the queueing system are the company’s own employees?
What happens to the values of Lq and L for the M/M/1 model when ρ is increased well above 0.9?
What are the assumptions of the M/M/1 model?
What might the server of a queueing system be other than an individual person?
What is the issue currently facing top management?
What is the difference between nonpreemptive priorities and preemptive priorities?
Which type of measure of performance of queueing systems tends to be more important when the customers are internal to the organization?
For multiple-server queueing models, what is the formula for the utilization factor ρ? What is the interpretation of ρ in terms of how servers use their time?
What is the trade-off involved in choosing the number of servers for a queueing system?
Reconsider Problem 3.6. The admissions office now would like to predict the college GPA of the three applicants (a, b, and c). Apply the KNN algorithm with k = 7 to predict the college GPA for each
What is meant by perfect information regarding the states of nature?
What is the formula for calculating P(state and finding)?
What is the conclusion if the cost of obtaining more information is more than the expected value of perfect information?
Which state of nature does the maximum likelihood criterion focus on?
What is meant by the possible states of nature?
Given two hypothetical alternatives where one of them involves a probability p, what is meant by the point of indifference between these two alternatives?
When performing the analysis, where do you begin on the decision tree and in which direction do you move for dealing with the nodes?
What five kinds of probabilities are considered in a probability tree diagram?
What is the formula for calculating the expected value of perfect information?
What conclusion was drawn for the first Goferbroke Co. problem regarding how the decision should depend on the prior probability of oil?
What are some criticisms of the maximin criterion?
What option is available for obtaining more information about the chances of oil?
Where can a manager go for expert help in applying decision analysis if a qualified analyst is not available on staff?
What is the lottery when using the equivalent lottery method?
What kinds of numbers need to be inserted into a decision tree before beginning the analysis?
What probabilities need to be estimated in addition to prior probabilities in order to begin calculating posterior probabilities?
How should a decision tree be constructed to obtain the expected payoff with perfect information by solving the tree?
What is shown by a data table when it is used to perform sensitivity analysis?
Performing sensitivity analysis on a certain piece of data should require changing its value in how many places on the spreadsheet?
What is happening at a decision node?
What are posterior probabilities of the states of nature?
Why might it be helpful to use sensitivity analysis with Bayes’ decision rule?
You are given the following payoff table (in units of thousands of dollars) for a decision analysis problem without probabilities a. Which alternative should be chosen under the maximax
How does the maximax criterion select a decision alternative? What kind of person might find this criterion appealing?
What are the decision alternatives being considered by Max?
How does the Goferbroke Co. problem compare with typical applications of decision analysis?
What are utilities intended to reflect?
When preparing to perform sensitivity analysis, how should one begin organizing the spreadsheet that contains the decision tree
What does a decision tree display?
What can be done to give the Nonlinear Solver a better chance of obtaining an optimal solution (or at least a very good solution) for a maximization problem with multiple local maxima?
When it is given a starting solution, how does the Nonlinear Solver then proceed to attempt to solve a maximization problem with multiple local maxima?
What are the types of nonlinear programming models that are relatively easy to solve?
What is a common assumption about the form of the formula for the profit of an activity when applying a curve fitting method?
What could cause the profit graph of an activity to be piecewise linear with decreasing marginal returns?
If the intended model type is linear (linear programming) but Solver gives an error message indicating that the model is not linear, what report in Analytic Solver can be useful to pinpoint where the
For problems where the activities have profit graphs with shapes similar to the one shown in Figure 11.17, what are some advantages of using the kind of approximation displayed in this figure to
What are three disadvantages of Evolutionary Solver compared to the Nonlinear Solver?
When an activity has decreasing marginal returns, how does the slope of its profit graph behave?
If Analytic Solver analyzes the model and determines it is NSP (nonsmooth), which solving method should be used?
What are two advantages that Evolutionary Solver has over the Nonlinear Solver for solving difficult nonlinear programming problems?
For these same problems, what is an advantage of instead using a nonlinear programming model that directly employs the formulas for the profit graphs?
What is the proportionality assumption of linear programming that is violated by nonlinear programming problems?
If Analytic Solver analyzes the model and determines it is NLP Convex, which solving method should be used?
How does mutation help Evolutionary Solver?
In what three major ways does the application of nonlinear programming models differ from that of linear programming models?
If Analytic Solver analyzes the model and determines it is QP Convex, which solving method should be used?
What criterion does Evolutionary Solver use to choose which members of a generation are fit and which are unfit?
What is a method for attempting to solve problems with multiple locally optimal solutions?
What kind of mathematical model is eventually formulated when applying the separable programming technique?
When applying nonlinear programming to portfolio selection, a trade-off is being sought between which two factors?
For this simple type of nonlinear programming problem, how does the graphical display for a two-variable problem differ from that for a two-variable linear programming problem?
How does the appearance of a nonlinear programming model differ from that of a linear programming model?
When considering the portfolio model presented in this section, why does it qualify to be a quadratic programming problem?
What are commercial service systems? Also give a new example (not included in Table 13.2) of such a system, including identifying the customers and server.Data from Table 13.2.Examples of Commercial
When Excel functions like IF, MAX, ABS, or ROUND are used, the resulting model tends to be of what type?
The Nonlinear Solver has difficulty solving nonlinear programming problems with certain properties. List three of these properties.
Reconsider Problem 3.6. The data for GPA and SAT score have each now been binned into five categories (Low, Medium Low, Medium, Medium High, and High) on the Binned Data worksheet tab. Apply naïve
Reconsider the example illustrating the use of chance constraints that was presented in Section 8.8. Suppose that after a more careful consideration of the hours required per door and window in Plant
For each activity that violates the proportionality assumption, what must be the shape of its profit graph (or at least an approximation of the profit graph) in order to apply separable programming?

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