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Posted By: kishore Member Level: Gold Posted Date: 24 May 2008
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2007 Jawaharlal Nehru Technological University M.C.A Computer Aplications OPERATIONS RESEARCH Question paper
1.a) Discuss the Operations Research models. b) Explain the graphical solution with an example. 2. Discuss briefly the various methods for obtaining an initial basic feasible solution to a transportation problem. 3. Discuss in detail the optimal solution for processing each of n-jobs through three machines. 4. The cost of a machine is Rs.6,100 and its Scrap value is only Rs.100. The maintenance costs are found from experience to be: Year: 1 2 3 4 5 6 7 8 Maintenance cost in rupees: 100 250 400 600 900 1250 1600 2000 When should machine be replaced? 5. Customers arrive at the first class ticket counter of a theater at a rate of 12 per hour. There is one clerk serving the customer at the rate of 30 per hour. (a) What is the probability that there is no customer in counter? (b) What is the probability that there are more than 2 customers in the counter? (c) What is the probability that there is no customer waiting to be served? 6.a) Explain the steps to develop an Inventory model. b) Describe the basic characteristics of an inventory system. 7.a) Explain Maxi-Min and Mini-Max principle used in game theory. b) Discuss the rectangular games without saddle points. 8. Write short notes on any THREE of the following: (a) Billman’s principle of optimality (b) Linear programming formulation (c) Group replacements (d) Poisson arrivals.
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