NATIONAL OPEN UNIVERSITY OF NIGERIA

UNIVERSITY VILLAGE, PLOT 91, CASDASTRAL ZONE, NNAMDI AZIKIWE EXPRESS WAY, JABI, ABUJA.
FACULTY OF SCIENCES
JANUARY/FEBRUARY 2013 EXAMINATION

COURSE CODE:        CIT 412

COURSE TITLE:        MODELLING AND SIMULATION

CREDIT UNIT:          3 CREDIT UNITS

TIME:                         3HOURS

INSTRUCTION:        ANSWER ANY FOUR QUESTIONS IN ALL

1a.        Discuss Poisson Process.                                                                       [7¹/₂  marks]

1b.        Enumerate seven (7) Application areas of Monte Carlo Methods.  [10 marks]

2a.       Explain Queuing theory with practical examples.                             [10 marks]

2b.       List six (6) factors of evaluating a model.                                          [7¹/₂  marks]

3a.       Highlight three (3) Advantages of using Model.                               [10¹/₂   marks]

3b.       Using Mixed Congruential formula, suppose m = 8, a = 5, c = 7 and X₀ (seed) = 4, generate a random sequence of integer numbers in a tabular form.       [7 marks]

4a        Explain in detail the queuing disciplines and its four (4) methods/disciplines.[10 marks]

4b.       Briefly explain what is meant by a Model.                                       [7¹/₂ marks]

5a.       Differentiate between Physical and Mathematical Models.                        [10 marks]

5b.       What is a Random Number?                                                             [7¹/₂ marks]

6a.       Enumerate any five (5) properties of a good Random number generator.[7¹/₂   marks]

6b.       Write six (6) purpose of simulation language?                                  [10 marks]