1. What do you understand by a random number.
Discuss properties of good random
number sequence.
2. Discuss 5 methods of generating random numbers.
3. What do you understand by testing a random number sequence? Discuss any methods for
it.
4. Write short notes on: Real time simulation, Hybrid Simulation, Cobweb Model,
Distributed Lag models, Exponential Decay Models, Exponential Growth models.
5. What do you understand by Monte Carlo technique? Discuss detailed application of it.
6. Describe simulation technique for CPM and PERT methods.
7. Differentiate between CPM and PERT.
8. Differentiate between validation and verification of models.
9. Differentiate between Static testing versus dynamic testing.
10. Discuss validation and verification techniques in detail.
11. What do you understand by system dynamics? What is stock and flow diagram? Discuss
feedback and casual loop diagram with examples.
12. Discuss components of time series analysis.
13. Discuss the techniques to draw trend line for chronological data. Also indicate merits and
limitations of each method.
14. What is difference between exponential decay and growth models? Form an exponential
t
growth model, if a person takes ‘A’ milligrams of a drug at time zero, then y= A (0 .7 )
gives the concentration left in the bloodstream after t hours. If the initial dose is 125mg.,
what is the concentration of the drug in the bloodstream after 3 hours?
15. Discuss Critical Path technique in detail and hence give flow charts for forward pass
method and backward pass method.
16. Define Cobweb model with four possible outcomes.
17. Describe Monte Carlo simulation technique and its applications.
18. What is system dynamics? How many types of loops are associated with system
dynamics study? A system study is given for population growth. Constant birth and death
rates are given. Draw loop diagram and convert it to system dynamic diagram.
19. A company is considering the question of marketing a new product. The fixed cost
required in the project is Rs. 4,000. Three factors are uncertain; selling price, variable
cost and the annual sales volume. The product has a life of only one year. The
management has the data on these three factors as under:
Selling Probability Variable Probability Sales Volume Probability
Price(Rs.) cost(Rs.) (Rs.)
3 0.2 1 0.3 2,000 0.3
4 0.5 2 0.6 3,000 0.3
5 0.3 3 0.1 5,000 0.4
Considering the following sequence of thirty random
numbers:81,32,60,04,46,31,67,25,24,10,40,02,39,68,08,59,66,90,12,64,79,31,86,68,82,89,25,11,
98,16. Using the sequence(first three random numbers for the first trial) simulate the average
profit for the above project on the basis of 10 trials.
20. A sample of 48 tools produced by a machine shows the following sequence of good (G)
and defective (D) tools: G G G G G G D D G G G G G G G G G G D D D D G G G G G
G D G G G G G G G G G D D G G G G G D G G. Test the randomness of the sequence
at the 0.05 significance level.
