Assignment Problem: Operations Research
Problem 1:
a) Meaning of operations research.
b) Methodology of operation research.
c) Phases of operation research.
Problem 2:
a) Meaning of Linear programming problem and explanation of graphical method of solving Linear programming problem.
b) A paper mill produces two grades of paper viz., X and Y. Because of raw material restrictions, it cannot produce more than 400 tons of grade X paper and 300 tons of grade Y paper in a week. There are 160 production hours in a week. It requires 0.20 and 0.40 hours to produce a ton of grade X and Y papers. The mill earns a profit of Rs. 200 and Rs. 500 per ton of grade X and Y paper respectively. Formulate this as a Linear Programming Problem.
c) Formulation of LPP (Objective function & Constraints).
Problem 3:
a) Degeneracy in transportation problem?
b) Procedure of MODI method?
Problem 4:
a) Explain the steps involved in Hungarian method of solving Assignment problems.
Problem 5:
a) Explanation of Monte Carlo simulation
b) A Company produces 150 cars. But the production rate varies with the distribution.
|
Production rate
|
147
|
148
|
149
|
150
|
151
|
152
|
153
|
|
Probability
|
0.05
|
0.1
|
0.15
|
0.2
|
0.3
|
0.15
|
0.05
|
At present the track will hold 150 cars. Using the following random numbers determine the average number of cars waiting for shipment in the company and average number of empty spaces in the truck. Random Numbers 82, 54, 50, 96, 85, 34, 30, 02, 64, 47.
Problem 6:
a) Dominance principle in game theory.
b) Constituents of a queuing system.
c) Differences between PERT and CPM.
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