Exam 14: Simulation

Develop the cumulative distribution table and the corresponding random numbers. Newspapers demanded per day Number of Days Probability Cumulative Probability 15 10 16 20 17 42 18 31 19 12 20 10 Total

The use of simulation to analyze airport operations, and fire or police department operations are known as

________ numbers are numbers derived from a mathematical process that appear to be random.

Manual simulation is limited because of the amount of real time required to simulate even one trial.

George Pourbabaee owns a gas station. The cars arrive at the gas station according to the following inter-arrival time distribution. The time to service a car is given by the following service time distribution. Interarrival time (in minutes) Random Numbers Service Time (in minutes) P() Random Numbers 4 .35 00-34 2 .30 00-29 7 .25 35-59 4 .40 30-69 10 .30 60-89 6 .20 70-89 20 .10 90-99 8 .10 90-99 Using the following random number sequence: 92, 44, 15, 97, 21, 80, 38, 64, 74, 08, estimate the average customer waiting time, average idle time of the assistant, and the average time a car spends in the system.

After plowing through contracts for a decade, the contract writer knew about how long it took to crank out the material necessary to satisfy a contract's requirements. The distribution could be modeled using the data provided in this table. Number of Weeks Random Number Range 2 0-5 3 6-15 4 16-35 5 36-80 6 81-99 -If the ten numbers generated are 87, 84, 99, 18, 81, 75, 32, 87, 46, and 35, what is the resultant expected average completion time?

________, ________, and ________ are common applications of simulation.

A long period of real time can be represented by a short period of simulated time.

Excel can only be used to simulate systems that can be represented by continuous random variables.

The number of cars arriving at Joe Kelly's oil change and tune-up place during the last 200 hours of operation is observed to be the following: Number of Cars Arriving Frequency 3 or less 0 4 10 11 30 6 70 7 50 8 40 9 or more 0 Based on the above frequencies, use two-digit random numbers, start with random number 00, and determine the random number ranges for the data set given above.

Two hundred simulation runs were completed using the probability of a machine breakdown from the table below. The average number of breakdowns from the simulation trials was 1.93 with a standard deviation of 0.20. No. of breakdowns per week Probability Cumulative probability 0 .10 .10 1 .25 .35 2 .36 .71 3 .22 .93 4 .07 1.00 -What is the probability of 2 or fewer breakdowns?

Simulation models must be ________ to make sure they are accurately replicating the system being simulated.

If f(x) = 2x, what is the equation for generating x, given the random number r?

Consider the following manual simulation of machine breakdowns and repair. Breakdowns Time between breakdowns, (weeks) Repair time, (days) Cost (, ) 1 4 1 \ 2000 2 5.7 2 \ 4000 3 5.5 2 \ 4000 4 2.5 1 \ 2000 5 5.2 2 \ 4000 6 5.8 2 \ 4000 7 1.6 1 \ 2000 8 2.3 2 \ 4000 9 1.2 2 \ 4000 10 3.3 2 \ 4000 What operating charactistics can be obtained from this simulation?

For the following frequency distribution of demand, the random number 0.23 would be interpreted as a demand of: Demand Frequency 0 32 1 26 2 24 3 18

In computer mathematical simulation, a system is replicated with a mathematical model that is analyzed with the computer.

Simulation applies mathematical models to determine optimal solutions to business problems.

A long period of real time is represented by a short period of ________.

Unlike optimization models, simulation provides

Random numbers generated by a mathematical process instead of a physical process are pseudorandom numbers.