Download JNTUH MCA 2nd Sem R09 2018 January F3204 Operations Research Question Paper

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Code No: F3204

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R09

JAWAHARLAL NEHRU TECHNOLOGICAL UNIVERSITY HYDERABAD

MCA 1I Semester Examinations, January - 2018

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OPERATIONS RESEARCH

Time: 3hrs Max.Marks:60

Answer any five questions

All questions carry equal marks

1. Explain models and limitations of operations research. [12]

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2. Solve by using big-M method, the following linear programming problem: [12]
   Max. Z=-2 X1 —X2
   Subjectto 3 x1+x=3
   4x1+3x>6
   x1+2x<4
   

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   and x1, x,>0
3. Explain with an example, the North-West corner rule and the least cost method for obtaining an initial basic feasible solution of a transportation problem. [12]
4. A car hire company has one car at each of five depots a, b, c, d and e. A customer requires a car in each town namely A, B, C, D and E. Distance (in kms) between depots (origins) and towns (destinations) are given in the following distance matrix.
   
   
   

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   	a	b	C	d	e
   A	160	130	175	190	200
   B	135	120	130	160	175
   C	140	110	155	170	185
   D	50	50	80	80	110
   E	55	35	70	80	105

   How should cars be answer to customer so as to minimize the distance travelled? [12]
5. Find the sequence that minimizes the total elapsed time repaired to complete the following tasks. Each job is processed in the order ACB. [12]
   

   Jobs	1	2	3	4
   A	11	13	15	17
   B	4	6	2	3
   C	5	7	9	11

   Machines
6. Explain the characteristics of dynamic programming. Illustrate its application to an assumed problem. [12]
7. Give a good presentation on ‘Game theory’ by functioning upon various relevant concepts and destinations. [12]

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8. Explain various kinds of inventory models and related issues/concepts. [12]

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