Deck 13: Simulation Modeling
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Deck 13: Simulation Modeling
1
Simulation models are limited to using standard probability distributions such as Poisson, exponential, normal, etc.
False
2
If, for a simple queuing or waiting line problem, we compare the solution from an analytical model with that from a simulation, we will typically find them to be exactly the same.
False
3
Simulation models are useful for economic order quantity problems with probabilistic demand and lead time.
True
4
Simulation that is used with queuing models are probabilistic and do not have Poisson arrivals nor exponential service times.
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5
The wider the variation among results produced by using different sets of random numbers, the longer we need to run the simulation to obtain reliable results.
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6
Simulation models may contain both deterministic and probabilistic variables.
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7
A major advantage of using simulation techniques is to be able to study the interactive effect of individual components/variables.
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8
The probability of selecting any random number in a two-digit table is 1/100.
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9
The advantage of simulation over queuing or waiting line models is that simulation allows us to relax our assumptions regarding arrival and service distributions.
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10
The four disadvantages of simulation are cost, its trial-and-error nature, time compression, and uniqueness.
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11
One of the major advantages of simulation is "time compression," i.e., the ability to study in a relatively short period, activities that would, in reality, take place over a period of days, months, or even years.
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12
Simulation models are designed to generate optimal solutions, which can then be applied to real-world situations.
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13
Simulation is very flexible.Thus, its solutions and inferences are usually transferable to other problems.
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14
Simulation can use any probability distribution that the user defines; it does not require standard distributions.
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15
One disadvantage of simulation is that it does not allow for what-if types of questions.
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16
A flow diagram is helpful in the logical coding procedures for programming a simulation process.
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17
Simulation of a business or process is generally performed by building a mathematical model to represent the process or system.
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18
If we are using a Monte Carlo simulation model, we should expect the model to produce the same results for each set of random numbers used.
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19
The Monte Carlo simulation is used with variables that are probabilistic.
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20
If, in a simple queuing or waiting line problem, we wish to know the maximum likely waiting time, or the maximum likely length of the line, we must use a simulation model.
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21
Operational gaming refers to simulation involving two or more competing agents.
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22
When establishing a probability distribution based on historical outcomes, the relative frequency for each possible outcome of a variable is found by dividing the frequency of each outcome by the total number of observations.
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23
Many companies use computerized simulation models to decide when to shut down an entire plant for maintenance activities.
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24
Table 13-2
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, if the random number 96 were generated for a particular day, what would the simulated demand be for that day?
A)5
B)6
C)7
D)8
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, if the random number 96 were generated for a particular day, what would the simulated demand be for that day?
A)5
B)6
C)7
D)8
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25
Table 13-2
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, if the random number 40 were generated for a particular day, what would the simulated demand be for that day?
A)5
B)6
C)7
D)20
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, if the random number 40 were generated for a particular day, what would the simulated demand be for that day?
A)5
B)6
C)7
D)20
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26
One use of machine maintenance simulation is to test how frequently preventive maintenance should be performed or determine whether the plant should adopt a policy of simply fixing a machine when it breaks.
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27
Econometric models are typically huge simulations involving thousands of queuing equations tied together by economics factors.
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28
What is the probability of selecting any random number from a two-digit table?
A)0.001
B)0.01
C)0.10
D)0.02
A)0.001
B)0.01
C)0.10
D)0.02
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29
A simulation that tests the number of ticket takers needed to allow fans to enter a stadium within a set period of time is one example of operational gaming.
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30
Verification relates to building the right model.
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31
There are three categories of simulation models: Monte Carlo, operational gaming, and systems simulation.
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32
Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, if a random number of 00 is drawn, what would the simulated number of breakdowns be?
A)0
B)1
C)2
D)3
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, if a random number of 00 is drawn, what would the simulated number of breakdowns be?
A)0
B)1
C)2
D)3
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33
Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, what is the probability of at least one breakdown?
A)0.2
B)0.3
C)0.5
D)0.8
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, what is the probability of at least one breakdown?
A)0.2
B)0.3
C)0.5
D)0.8
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34
Validation relates to building the right model.
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35
The Monte Carlo simulation was developed by
A)John von Neumann.
B)Eric von Brock.
C)A.K.Erlang.
D)P.K.Poisson.
A)John von Neumann.
B)Eric von Brock.
C)A.K.Erlang.
D)P.K.Poisson.
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36
Table 13-1
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, what is the cumulative probability of 2 breakdowns?
A)0.35
B)0.50
C)0.85
D)0.15
The table below represents the probability distribution for machine breakdowns in a day of operation.

According to Table 13-1, what is the cumulative probability of 2 breakdowns?
A)0.35
B)0.50
C)0.85
D)0.15
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37
Which of the following is not an advantage of simulation?
A)It allows for the study of what-if questions.
B)Each simulation model is unique.
C)It allows the study of interaction of components or variables to determine which are important.
D)It allows time compression.
A)It allows for the study of what-if questions.
B)Each simulation model is unique.
C)It allows the study of interaction of components or variables to determine which are important.
D)It allows time compression.
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38
Simulation of maintenance problems can help management analyze various staffing strategies based on machine downtime and labor cost.
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39
Econometric models are one class of systems simulations.
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40
In assigning random numbers in a Monte Carlo simulation
A)it is important to develop a cumulative probability distribution.
B)it is important to use a normal distribution for all variables simulated.
C)it is not important to assign probabilities to an exact range of random number intervals.
D)it is important to use prime numbers to seed the distribution.
A)it is important to develop a cumulative probability distribution.
B)it is important to use a normal distribution for all variables simulated.
C)it is not important to assign probabilities to an exact range of random number intervals.
D)it is important to use prime numbers to seed the distribution.
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41
Table 13-4
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.
The first random number generated for arrivals is used to tell when the first customer arrives after opening.
According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.If the store opens at 8:00 a.m., and random numbers are used to generate arrivals, what time would the first customer arrive if the first random number were 02?
A)8:01
B)8:02
C)8:03
D)8:04
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.

According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.If the store opens at 8:00 a.m., and random numbers are used to generate arrivals, what time would the first customer arrive if the first random number were 02?
A)8:01
B)8:02
C)8:03
D)8:04
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42
The use of simulations in competitive situations is called
A)Monte Carlo simulation.
B)systems simulation.
C)operational gaming.
D)virtual reality.
A)Monte Carlo simulation.
B)systems simulation.
C)operational gaming.
D)virtual reality.
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43
Table 13-3
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10, inclusive.Suppose the next three random numbers were 18, 89, and 67, and these were used to simulate arrivals in the next three 10-minute intervals.How many customers would have arrived during this 30-minute time period?
A)22
B)23
C)24
D)25
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10, inclusive.Suppose the next three random numbers were 18, 89, and 67, and these were used to simulate arrivals in the next three 10-minute intervals.How many customers would have arrived during this 30-minute time period?
A)22
B)23
C)24
D)25
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44
Table 13-2
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, what is the cumulative probability that demand is less than or equal to 7?
A)0.85
B)0.95
C)0.80
D)0.15
A new young mother has opened a cloth diaper service.She is interested in simulating the number of diapers required for a one-year-old.She hopes to use this data to show the cost effectiveness of cloth diapers.The table below shows the number of diapers demanded daily and the probabilities associated with each level of demand.

According to Table 13-2, what is the cumulative probability that demand is less than or equal to 7?
A)0.85
B)0.95
C)0.80
D)0.15
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45
Simulation models can be broken down into which of the following three categories?
A)Monte Carlo, queuing, and inventory
B)queuing, inventory, and maintenance policy
C)Monte Carlo, operational gaming, systems simulation
D)inventory, systems simulation, and operational gaming
A)Monte Carlo, queuing, and inventory
B)queuing, inventory, and maintenance policy
C)Monte Carlo, operational gaming, systems simulation
D)inventory, systems simulation, and operational gaming
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46
Which of the following represents the primary reason simulation cannot be used for the classic EOQ model?
A)too many parameters involved
B)too many decision variables
C)EOQ models are probabilistic.
D)EOQ models are deterministic.
A)too many parameters involved
B)too many decision variables
C)EOQ models are probabilistic.
D)EOQ models are deterministic.
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47
Table 13-4
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.
The first random number generated for arrivals is used to tell when the first customer arrives after opening.
According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first random number to generate an arrival is 39, while the first service time is generated by the random number 94.What time would the first customer finish transacting business?
A)8:03
B)8:04
C)8:05
D)8:06
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.

According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first random number to generate an arrival is 39, while the first service time is generated by the random number 94.What time would the first customer finish transacting business?
A)8:03
B)8:04
C)8:05
D)8:06
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48
Table 13-5

According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If random numbers between 01 and 100 are used to generate values, then a random draw of 72 would produce a variable value of
A)0.
B)1.
C)2.
D)3.


According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If random numbers between 01 and 100 are used to generate values, then a random draw of 72 would produce a variable value of
A)0.
B)1.
C)2.
D)3.
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49
The process of determining that the computer model is internally consistent and following the logic of the conceptual model is called
A)validation.
B)verification.
C)simulation.
D)experimentation.
A)validation.
B)verification.
C)simulation.
D)experimentation.
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50
Table 13-3
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10, inclusive.Suppose the next three random numbers were 20, 50, and 79, and these were used to simulate arrivals in the next three 10-minute intervals.How many customers would have arrived during this 30-minute time period?
A)18
B)19
C)20
D)21
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10, inclusive.Suppose the next three random numbers were 20, 50, and 79, and these were used to simulate arrivals in the next three 10-minute intervals.How many customers would have arrived during this 30-minute time period?
A)18
B)19
C)20
D)21
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51
Table 13-4
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.
The first random number generated for arrivals is used to tell when the first customer arrives after opening.
According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first two random numbers for arrivals are 95 and 08.The first two random numbers for service times are 92 and 18.At what time does the second customer finish transacting business?
A)8:07
B)8:08
C)8:09
D)8:10
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.

According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first two random numbers for arrivals are 95 and 08.The first two random numbers for service times are 92 and 18.At what time does the second customer finish transacting business?
A)8:07
B)8:08
C)8:09
D)8:10
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52
The logic in a simulation model is presented graphically through which of the following?
A)scatterplot
B)flowchart
C)blueprint
D)decision tree
A)scatterplot
B)flowchart
C)blueprint
D)decision tree
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53
Table 13-3
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10 inclusive.Suppose the next 3 random numbers were 02, 81, and 18.These numbers are used to simulate arrivals into the pharmacy.What would the average number of arrivals per 10-minute period be based on this set of occurrences?
A)6
B)7
C)8
D)9
A pharmacy is considering hiring another pharmacist to better serve customers.To help analyze this situation, records are kept to determine how many customers will arrive in any 10-minute interval.Based on 100 ten-minute intervals, the following probability distribution has been developed and random numbers assigned to each event.

According to Table 13-3, the number of arrivals in any 10-minute period is between 6 and 10 inclusive.Suppose the next 3 random numbers were 02, 81, and 18.These numbers are used to simulate arrivals into the pharmacy.What would the average number of arrivals per 10-minute period be based on this set of occurrences?
A)6
B)7
C)8
D)9
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54
Which of the following is not considered one of the 5 steps of Monte Carlo Simulation?
A)establishing probability distributions for important input variables
B)generating random number
C)building a cumulative probability distribution for each input variable
D)establishing an objective function
A)establishing probability distributions for important input variables
B)generating random number
C)building a cumulative probability distribution for each input variable
D)establishing an objective function
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55
Table 13-4
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.
The first random number generated for arrivals is used to tell when the first customer arrives after opening.
According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first 3 random numbers to generate arrivals are 09, 89, and 26.What time does the third customer arrive?
A)8:07
B)8:08
C)8:09
D)8:10
A pawn shop in Arlington, Texas, has a drive-through window to better serve customers.The following tables provide information about the time between arrivals and the service times required at the window on a particularly busy day of the week.All times are in minutes.

According to Table 13-4, the time between successive arrivals is 1, 2, 3, or 4 minutes.The store opens at 8:00 a.m., and random numbers are used to generate arrivals and service times.The first 3 random numbers to generate arrivals are 09, 89, and 26.What time does the third customer arrive?
A)8:07
B)8:08
C)8:09
D)8:10
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56
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

Use the information in Table 13-6 to determine the range of random numbers corresponding to demand for 22 orders per day.
A)11-25
B)10-25
C)10-24
D)11-24
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


Use the information in Table 13-6 to determine the range of random numbers corresponding to demand for 22 orders per day.
A)11-25
B)10-25
C)10-24
D)11-24
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57
The process of comparing a model to the real system that it represents to make sure it is accurate is called
A)validation.
B)verification.
C)simulation.
D)experimentation.
A)validation.
B)verification.
C)simulation.
D)experimentation.
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58
Table 13-5

According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If this variable represents the number of machine breakdowns during a day, what is the probability that the number of breakdowns is 2 or fewer?
A)0.23
B)0.31
C)0.32
D)0.63


According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If this variable represents the number of machine breakdowns during a day, what is the probability that the number of breakdowns is 2 or fewer?
A)0.23
B)0.31
C)0.32
D)0.63
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59
Which of the following variables are probabilistic in an inventory model that requires simulation?
A)demand only
B)lead time only
C)holding cost only
D)both A and B
A)demand only
B)lead time only
C)holding cost only
D)both A and B
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60
Table 13-5

According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If this variable represents the number of machine breakdowns during a day, what is the probability that the number of breakdowns is more than 4?
A)0
B)0.08
C)0.09
D)1.00


According to Table 13-5, which presents a summary of the Monte Carlo output from a simulation of 200 runs, there are 5 possible values for the variable of concern.If this variable represents the number of machine breakdowns during a day, what is the probability that the number of breakdowns is more than 4?
A)0
B)0.08
C)0.09
D)1.00
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61
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

Paul decides to order butter every four days and decides to maintain a level of inventory that is the sum of the four highest consecutive days' demand plus 10%.Based on this two-week simulation, what should his stocking level be for the scenario shown in Table 13-6?
A)340 sticks
B)251 sticks
C)319 sticks
D)125 sticks
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


Paul decides to order butter every four days and decides to maintain a level of inventory that is the sum of the four highest consecutive days' demand plus 10%.Based on this two-week simulation, what should his stocking level be for the scenario shown in Table 13-6?
A)340 sticks
B)251 sticks
C)319 sticks
D)125 sticks
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62
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

At what level of nightly order for etouffee does the cumulative probability reach 50% for the scenario shown in Table 13-6?
A)22 orders
B)24 orders
C)26 orders
D)28 orders
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


At what level of nightly order for etouffee does the cumulative probability reach 50% for the scenario shown in Table 13-6?
A)22 orders
B)24 orders
C)26 orders
D)28 orders
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63
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

What is the demand for etouffee on day 6 dictated by the random number shown in Table 13-6?
A)20
B)22
C)24
D)26
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


What is the demand for etouffee on day 6 dictated by the random number shown in Table 13-6?
A)20
B)22
C)24
D)26
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64
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
What is the duration of questions asked during week 5 according to the information contained in Table 13-7?
A)2
B)3
C)4
D)5
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

What is the duration of questions asked during week 5 according to the information contained in Table 13-7?
A)2
B)3
C)4
D)5
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65
A certain grocery store has created the following tables of intervals of random numbers with regard to the number of people who arrive at its three checkout stands ready to check out, and the time it takes to check out the individuals.Simulate the utilization rate of the three checkout stands over four minutes using the following random numbers for arrivals: 07, 60, 49, and 95.Use the following random numbers for service: 77, 76, 51, and 16.Describe the results at the end of the four-minute period.


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66
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
Use the information in Table 13-7 to determine the range of random numbers that corresponds to 10 students showing up for office hours.
A)21 to 25
B)20 to 24
C)20 to 25
D)21 to 24
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

Use the information in Table 13-7 to determine the range of random numbers that corresponds to 10 students showing up for office hours.
A)21 to 25
B)20 to 24
C)20 to 25
D)21 to 24
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67
The number of machine breakdowns in a day is 0, 1, or 2, with probabilities 0.6, 0.3, and 0.1, respectively.The following random numbers have been generated: 13, 10, 02, 18, 31, 19, 32, 85, 31, 94.Use these numbers to generate the number of breakdowns for 10 consecutive days.What proportion of these days had at least one breakdown?
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68
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

What is the demand for etouffee on day 13 dictated by the random number shown in Table 13-6?
A)20
B)24
C)26
D)30
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


What is the demand for etouffee on day 13 dictated by the random number shown in Table 13-6?
A)20
B)24
C)26
D)30
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69
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
What is the highest total time spent answering questions of all the weeks shown in Table 13-7?
A)150
B)154
C)158
D)162
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

What is the highest total time spent answering questions of all the weeks shown in Table 13-7?
A)150
B)154
C)158
D)162
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70
Customer arrivals adhere to the following probability distribution:
Create an appropriate table of interval of random numbers.

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71
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
What is the number of students that show up in a six-hour period during week 3 according to the information contained in Table 13-7?
A)9
B)10
C)11
D)12
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

What is the number of students that show up in a six-hour period during week 3 according to the information contained in Table 13-7?
A)9
B)10
C)11
D)12
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72
The number of cars arriving at a self-service gasoline station during the last 50 hours of operation are as follows:
Create an appropriate table of intervals of random numbers.

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73
Average daily sales of a product are 8 units.The actual number of sales each day is either 7, 8, or 9, with probabilities 0.3, 0.4, and 0.3, respectively.The lead time for delivery of this averages 4 days, although the time may be 3, 4, or 5 days, with probabilities 0.2, 0.6, and 0.2.The company plans to place an order when the inventory level drops to 32 units (based on the average demand and average lead time).The following random numbers have been generated: 60, 87, 46, 63 (set 1)and 52, 78, 13, 06, 99, 98, 80, 09, 67, 89, 45 (set 2).Use set 1 of these to generate lead times and use set 2 to simulate daily demand.Simulate 2 ordering periods with this and determine how often the company runs out of stock before the shipment arrives.Assume 32 units on-hand and an order was just placed.
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74
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
Use the information in Table 13-7 to determine the range of random numbers that corresponds to a seven-minute question.
A)40 to 45
B)41 to 45
C)40 to 44
D)41 to 44
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

Use the information in Table 13-7 to determine the range of random numbers that corresponds to a seven-minute question.
A)40 to 45
B)41 to 45
C)40 to 44
D)41 to 44
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75
Table 13-7
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.
The duration of time to answer questions varies independently from the actual demand.Question duration is reflected in this table.
Entries in the student demand and question duration tables that reflect a range in demand, i.e., 3-9 students per six hours or 4-9 minutes should be treated as collapsed entries in the table.Thus, a question duration of 4 minutes has a 0.05 probability, a question duration of 5 minutes also has a 0.05 probability, and so on up through 9 minutes and a 0.05 probability.
This table contains random numbers for the number of students and duration of question for a 16-week period.
Use the question duration figure as the time required to answer questions for each student that week, so if three students arrive in week seven and the average duration is ten minutes, the total time spent answering questions that week is thirty minutes.
What is the total duration of questions asked during week 3 according to the information contained in Table 13-7?
A)120
B)132
C)144
D)156
A professor dutifully holds six office hours per week as dictated by an archaic policy.Demand for office hours varies wildly as reflected in this historical data.


This table contains random numbers for the number of students and duration of question for a 16-week period.

What is the total duration of questions asked during week 3 according to the information contained in Table 13-7?
A)120
B)132
C)144
D)156
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76
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

What is the total demand for butter during the first week for the scenario shown in Table 13-6?
A)340 sticks
B)265 sticks
C)405 sticks
D)384 sticks
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


What is the total demand for butter during the first week for the scenario shown in Table 13-6?
A)340 sticks
B)265 sticks
C)405 sticks
D)384 sticks
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77
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

What is the total demand for butter during the second week for the scenario shown in Table 13-6?
A)340 sticks
B)265 sticks
C)405 sticks
D)384 sticks
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


What is the total demand for butter during the second week for the scenario shown in Table 13-6?
A)340 sticks
B)265 sticks
C)405 sticks
D)384 sticks
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78
Consider the interval of random numbers presented below.The following random numbers have been generated: 99, 98, 26, 09, 49, 52, 33, 89, 21, 37.Simulate 10 hours of arrivals at this gas station.What is the average number of arrivals during this period?


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79
Table 13-6
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:
Each recipe of crawfish etouffee calls for two sticks of butter which the prep chef must buy down the block at a local grocery store.Paul would like to put in a special butter refrigerator and needs to estimate the capacity he would need if he orders twice a week from his butter supplier.He decides to simulate two weeks of this process using the historical distribution mapped to random numbers ranging from 01-00 and the random number table below.

Use the information in Table 13-6 to determine the range of random numbers corresponding to demand for 30 orders per day.
A)90-99
B)91-00
C)90-100
D)91-100
Paul prepares a variety of Creole and Cajun dishes to the delight of his diners at his restaurant in the French Quarter.Demand for crawfish etouffee follows this historical distribution:


Use the information in Table 13-6 to determine the range of random numbers corresponding to demand for 30 orders per day.
A)90-99
B)91-00
C)90-100
D)91-100
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80
A certain grocery store has noted the following figures with regard to the number of people who arrive at its three checkout stands ready to check out, and the time it takes to check out the individuals.
Create an appropriate table of interval of random numbers for both variables.

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