Friday, April 20, 2018

CSM Quizzes

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CSM Assignment No.4

Computer Simulation and Modeling 

CSM Assignment No. 4

ASSIGNMENT NO. 4
  1. Describe the steps involved in the development of a model of input data.
  2. Explain selecting input models without data.
  3. Records pertaining to the monthly number of job-related injuries at an underground coal mine were being studied by a federal agency. The values for the past 100 months were as follows:
Injuries per month
Frequency of Occurance
0
35
1
40
2
13
3
6
4
4
5
1
6
1
Apply Chi-Square test to test these data to test the hypothesis that the underlying distribution is Poisson. (use a level of significance α = 0.05 ,  X20.05,2  = 5.99).
  1. What do you understand by “Goodness of fit test”? Write the procedure for the same.
  2. Write a note on “Verification & Validation of Simulation models”.
  3. Explain in detail the 3 – step approach of Naylor and Finger in the validation process.
  4. Explain how input-output transformations are validated?
  5. Explain types of simulations with respect to output analysis.
  6. Write a note on “Simulation of Manufacturing and Material-Handling Systems”.
  7. Write a note on “Processor and Memory Simulation”.

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Thursday, March 15, 2018

CSM Assignment No.3

Computer Simulation and Modeling 

CSM Assignment No.3


ASSIGNMENT NO. 3


  1. Test the following random numbers for independence by run test. Take α=0.5 and critical value Z0.025 =1.96.                                        { 37, 59, 63, 07, 92, 48, 12, 86 }

  2. The sequence of numbers 0.54, 0.73, 0.98, 0.11 and 0.68 has been generated. Use the Kolmogorov-Smirnov test with α=0.05 to learn whether the hypothesis that the numbers are uniformly distributed on the interval [0,1] can be rejected. Use D0.05, 5 = 0.565.

  3. What are the methods used to generate random numbers? State the properties of random numbers.

  4. Consider the following sequences of random numbers. How would you test it for independence?


0.12     0.01     0.23     0.28     0.89     0.31     0.64     0.28     0.33     0.93    


0.39     0.15     0.33     0.35     0.91     0.41     0.60     0.25     0.55     0.88

5. Explain inverse transform techniques.

6. Explain Convolution method.

7. Write a note on “Acceptance – Rejection Technique”.

 

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CSM Assignment No. 2

Computer Simulation and Modeling

CSM Assignment No.2


1.      The probability of a computer chip failure is 0.05. Everyday a random sample of size 14 is taken. What is the probability that 1) at most 3 will fail 2) at least 3 will fail
2.      The number of accidents in a year to taxi driver follows poisson distribution with mean equal to 3. Out of 100 taxi drivers, find approximately the number of drivers with 1) no accidents in a year 2) more than 3 accidents in a year.
3.      Explain Poisson processes with properties.
4.      Explain discrete distributions.
5.      At service station an automatic carwash facility operates with only one car bay. Cars arriving according to a position distribution, with mean of 12 cars per hour. Car may wait in the facilities parking lawn if service station is busy. Service time has distribution with average 4 min with a standard deviation of 4/3 minutes. Compute the steady state parameters of the system.
6.      The inter arrival time as well as service time at government hospital is known to be distributed exponentially. Currently only 1 emergency case can be handle at time .The arrival rate of patient is 4 per hour and service rate 6 per hour. Compute the steady state parameter and probability for 0, 1, 2, 3, 4 or more patients in the hospital.
7.      A CNG station has 2 filling machine. The service time follows exponential distribution with the mean of 5 min and autorikshaws arrives for service in a poisson fashion at a rate of 15 per hour. Compute steady state parameters of the system.
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