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Operations Research
Part â A (45 Marks)
Attempt any Three Question
1- âOperations Research is inter-disciplinary in nature and requires a team approach for the solution of a problem.â How far is this statement correct?
2- âThere are two basic planning and controlling techniques used in the Network Scheduling â PERT and CPM.â Explain briefly.
3- Give Johnsonâs procedure for determining an optimal sequence for processing in items on two machines. Give justification of the rule used in procedure.
4- Explain the Hungarian method to solve an assignment problem.
5- What is the difference between decision making under risk and decision making under uncertainty? Explain the difference between expected opportunity loss and expected value of perfect information.
Part â B (35 Marks)
Attempt any five Question
1- solve the following LPP :
Minimize Z = 12x + 3y
Subject to 4x + 6y > 24,000
X + y > 5,000
8x + 2y > 16,000
And x> 0, y> 0
2- What is an Assignment Problem â? Is it true to say that it is a special case of the transportation problem? Explain with example
3- Explain the concepts of degeneracy in simplex method.
4- What are the basic characteristics of a âQueue Systemâ? Explain in brief, the important assumptions of a Queue Model.
5- Describe the fundamental components of a queuing process and give suitable examples.
6- Write a lucid note on replacement problem.
Part â C (20 Marks)
Attempt any two Question
1- What is Game Theory? State the assumptions underlying it.
2- Characteristics of M/M/l queue model.
3- Discuss the scope of Operations Research.
4- âDual of a dual is itâs primal.â Explain.
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