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TAMIL NADU OPEN UNIVERSITY MCA - II (SEM 4) JUN 2008 : Operation Research

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Wk 6 MCA 656 MCA-16 M.C.A. DEGREE EXAMINATION JUNE 2008. Second Year/Fourth Semester OPERATIONS RESEARCH Time : 3 hours Maximum marks : 75 Answer for 5 marks questions should not exceed 2 pages. Answer for 10/15 marks questions should not exceed 5 pages. PART A (5 5 = 25 marks) Answer any FIVE questions. 1. Explain nature of operations research and it s limitations. 2. Solve the L.P.P by graphical method : Max Z 3 x1 4x 2 Subject to 4x1 2x 2 80 2x1 5x 2 18 x1 , x 2 0 Wk 6 3. Write the standard form of L.P.P. 4. Write the mathematical Transportation problem. formulation of 5. Explain the advantages and disadvantages of maintaining inventory. 6. Explain the characteristics of Queueing problem. 7. Write simulation. the advantages and limitations of PART B (5 10 = 50 marks) Answer any FIVE questions. 8. Solve using simplex method : Max : Z 5 x1 Subject to x1 x2 5x1 2x 2 8x 2 2 10 3x1 3x 2 12 ( x1 , x 2 0) 2 MCA 656 Wk 6 9. Write dual of the L.P.P and solve : Max Z 4 x1 2x 2 Subject to x1 x2 3 x1 x2 2 ( x1 , x 2 0) . 10. Solve the transportation problem to minimise the total cost. Find optimum solution. Supply 7 9 3 2 16 4 4 3 5 14 6 4 5 8 20 Demand 11 9 22 8 11. Solve the travelling salesman problem. ABCDE A 3 6 2 3 B 3 5 2 3 C 6 5 6 4 D2 2 6 6 E 3 4 6 3 3 MCA 656 Wk 6 12. A Company uses 50,000 unit/year each costing Rs. 1.20. Order cost is Rs. 45 and inventory carrying costs are 15% of annual average inventory value (a) Find EOQ (b) If the company operates 250 days a year, the procurement time is 10 days and safety stock is 500 units, find re-order level, maximum and minimum inventory. 13. In a railway marshalling yard, goods trains arrive at a rate of 30 trains/day. Assuming inter arrival time follows an exponential distribution and the service time distribution is exponential with an average 36 minutes. calculate (a) (b) 14. Mean queue size The probability that queue size exceeds 10. Solve the following game : 1 5 7 7 6 2 3 4 0 4 5. 3 4 MCA 656

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Additional Info : Mca - II (sem 4) June 2008 Question Paper - Operation Research
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