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       Subject Code: MC306

              MCA III Semester [R06] Regular/Supplementary Examinations, January 2010

                                      COMPUTER COMMUNICATION
        Time: 3 Hours                                                                   Max Marks: 60




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                      Answer any FIVE questions All questions carry EQUAL marks



          1. Describe ISO-OSI 7-layermodel with a neat sketch. Explain the goals and functions of
             each layer.                                                                [12]

          2. Explain various types of guided transmission media with neat diagrams.              [12]

          3. a) Explain the channel allocation problem.                                          [6]
             b) What is blue tooth? Explain.                                                     [6]

          4. a) What is congestion control? Discuss about any one algorithm.                     [4]
             b) What is routing? Discuss about any two routing algorithms.                       [4+4]

          5. Discuss about the elements of transport protocol in detail.                         [12]

          6. Write a short notes on                                                              [4+4+4]
                                      a) World Wide Web
                                      b) DNS
                                      c) Multimedia




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          7. Discuss about RSA algorithm with a suitable example.                                [12]

          8. What is Email Security? Explain how PGP offers security to email.                   [12]




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       Subject Code: MCA32

                   MCA III Semester [NR] Supplementary Examinations, January 2010

                                         OPERATIONS RESEARCH
       Time: 3 Hours                                                                      Max Marks: 60




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                      Answer any FIVE questions All questions carry EQUAL marks



       1. Maximize Z=2x1+4x2-3x3
       Subject to the constraints
                       x1+x2+x3•8
                       x1-x2•1
                       3 x1, x2, x3•0
                       x1+4x2+x3”40
                       x1, x2, x3•0
       Using Simplex method.

       2. Solve the following LPP with help of Duality.
       Minimize Z=2x1+2x2
       Subject to      2x1+4x2 •1
                       x1+2x2•1
                       2x1+x2•1
                       x1, x2•0

       3. Find the initial basic feasible solution to the following transportation problem by




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       a)Least cost method b)VAM
       State which of the methods is better
                                                       TO                      Supply

               From             6           7           4             5
               Demand           4           3           1             12
                                1           4           7             5
                                6           10          15            31

       4.(a)    Define the following terms:
                 (i)Saddle Point                 (ii) Value of Game         (iii)Minimax Principle.




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       Subject Code: MCA32
       (b)Solve the game whose payoff matrix to the player A is given in the table:
                                      B

                  A
                                     X         Y           Z
                          U          18        24          18




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                          V          8         13          17
                          W          10        15          19

       5. A computer contains 20000 resistors. When any resistor fails, it is replaced. The cost of
       replacing a resistor individually is Rs.1.If all the resistors are replaced at the same time the cost
       per resistor is reduced to Rs.0.4. The percentage survivals at the end of the month ’t’ and the
       probability of failure during the month ‘t’ are given below. What is the optimum plan?
       Percent surviving at the end of                 0            1      2      3       4       5      6
                                                       100         96     90     65       35     20       0
       Probability of failure during the month          ---       0.04 0.06 0.25         0.3     0.15    0.2


       6. An item used by a company may be purchased from a supplier for Rs.32 per unit or
       manufactured in its plant at a rate of 10000 units per annum, for Rs.30 per unit. If the item is
       purchased, the ordering cost is Rs.12 per order while if it is produced internally the set up cost
       per production run is Rs.60.The annual demand for the production is 2500 units-a uniform 10
       units per day. The holding cost is 12% of the inventory value. Should the item be purchased from
       outside or produced internally?




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       7. Find the sequence that minimizes total machining time to complete the following data:
       Tasks                  A      B      C      D      E       F
       Time on Machine I 4           9      8      5      10      9
       Time on Machine II 5          4      3      6      2       5
       Time on Machine III 7         8      6      12     6       7

       8. The following table lists the jobs of a network their estimates.

       Activity                 Time                        Activity                  Time
       1-2                      4                           5-6                       4
       1-3                      1                           5-7                       8
       2-4                      1                           6-8                       1
       3-4                      1                           7-8                       2
       3-5                      6                           8-10                      5
       4-9                      5                           9-10                      7

       (i)Construct the network (ii) Compute TE and TL for each event and (iii) Find critical path




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