Exam 22: Supplement E Simulation

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How can random numbers be generated?

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Random numbers can be generated by a computer, looking them up in a collection, or generation by some mechanical means. A package like Excel can generate random numbers using the RAND() function, which generates uniformly distributed random numbers within the interval [0,1]. In the absence of a computer, random numbers can be looked up in published tables of random numbers. Finally, the modeler can observe some physical phenomenon as a source of random numbers, such as flipping a coin.

A number that has the same probability of being selected as any other number is a(n) ________.

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random number

What is the difference between a waiting line model as described in Supplement B and a simulation model of a waiting line problem?

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The waiting line model describes the operating characteristics of interest with known equations. The simulation model actually mimics the arrival of customers and their service, empirically calculating the operating characteristics.

What are the differences between decision variables and uncontrolled variables? Describe the differences and provide an example from a simulation model.

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SimQuick can be used to simulate all of the following except:

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The manager of a branch bank wants to build a simulation model of the lobby operation to reduce the waiting time of her customers. The number of customers waiting in line at any point of time is an example of a(n):

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Random variables are under the control of the decision maker.

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Steady state occurs when the simulation is repeated over enough time that the average results for performance measures remain constant.

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Refer to the bank process model. The bank's process improvement group has developed a number of process and technology changes that will improve the Teller's process rate per customer from a mean of 3.0 minutes to 2.5 minutes (standard deviation remains at 0.5 minutes). The Bank Manager wants to determine if the improved process rate, along with the special promotion for new customers, will allow the "arrive and immediately leave" rate and average customer wait time in line achieved to still be met (12% balk rate, 9.95 minutes in line). If so, the manager will implement the process and technology changes and allow the special promotion to proceed. Using SimQuick, estimate the new arrive and immediately leave rate and average time in line. What decision should the manager make?

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Scenario E.1 SimQuick is being used to simulate the following bank process: Scenario E.1 SimQuick is being used to simulate the following bank process:     Customer arrivals at the Entrance Door of the bank with an average time between arrivals of 2.5 minutes. The Line Buffer holds 6 customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of 3.0 minutes and a standard deviation of 0.5 minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A 2-hour period was simulated. The SimQuick simulation is run, and the results are as follows:    -Use the information in Scenario E.1. On average, approximately how many customers were waiting in line during the 2-hour simulation period? Customer arrivals at the Entrance Door of the bank with an average time between arrivals of 2.5 minutes. The Line Buffer holds 6 customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of 3.0 minutes and a standard deviation of 0.5 minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A 2-hour period was simulated. The SimQuick simulation is run, and the results are as follows: Scenario E.1 SimQuick is being used to simulate the following bank process:     Customer arrivals at the Entrance Door of the bank with an average time between arrivals of 2.5 minutes. The Line Buffer holds 6 customers. If a customer arrives and the buffer line is filled, the customer leaves. The Work Station Teller's processing time per customer is normally distributed, with a mean of 3.0 minutes and a standard deviation of 0.5 minutes. The Served Customer Buffer in the flow chart is used to count the number of customers processed during the period simulated. A 2-hour period was simulated. The SimQuick simulation is run, and the results are as follows:    -Use the information in Scenario E.1. On average, approximately how many customers were waiting in line during the 2-hour simulation period? -Use the information in Scenario E.1. On average, approximately how many customers were waiting in line during the 2-hour simulation period?

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In Excel, the RAND() function generates either a 0 or a 1, purely at random.

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________ is the act of reproducing the behavior of a system using a model that describes the processes of the system.

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Simulation models are:

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When using Excel for simulation, it is important to freeze the random numbers used in order to compare the effectiveness of different policies. To do this, you must select the cells holding the random numbers with the mouse, click Edit/Copy at the top of the spreadsheet, and:

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This table shows the distribution of grades in an operations management class. This table shows the distribution of grades in an operations management class.   Add a column to the table that shows the cumulative probability and indicate what letter grade is obtained when the RAND() function is equal to 0.7406. Add a column to the table that shows the cumulative probability and indicate what letter grade is obtained when the RAND() function is equal to 0.7406.

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What is steady state in a simulation model? Why is it important to achieve steady state?

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A simulation model:

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If the data needed to set up a simulation are available in company records, the technique used to obtain them is called ________.

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Why would data need to be collected prior to conducting a simulation?

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This table shows the distribution of grades in an operations management class. This table shows the distribution of grades in an operations management class.   Add a column to the table that shows the cumulative probability and indicate what letter grade is obtained when the RAND() function is equal to 0.982245. Add a column to the table that shows the cumulative probability and indicate what letter grade is obtained when the RAND() function is equal to 0.982245.

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