MVCT/MBCT/MVCP 101- ADVANCE MATHEMATICS Theory: MVCT 101
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Unit-1
Introduction of operation-research, Mathematical Programming Techniques Linear programming (formulation, Graphical solution).Simplex method, BIG-M method. Duality theory in linear programming, Transportation & Assignment Problem.
Unit-2Network Methods: CPM, PERT, Dynamic Programming, Bellmon’s Principle of optimality, Non linear Programming. Fibonacci method.
Unit-3
Game theory, Queuing system, Genetic algorithm, ANN methods, Evolutionary algorithms.
Game theory, Queuing system, Genetic algorithm, ANN methods, Evolutionary algorithms.
Unit-4
Probability concepts, Additive and Multiplicative laws of Probability, Boye’s theorem, statistical frequency distribution, Binomial, Poisson, Normal Distribution, confidence intervals, Tests of Significance for small & large samples. Testing of Hypothesis, Linear and Non-linear regression.
Unit-5
Reliability Engineering: Basic concepts of Reliability, Design for Reliability constraints and consideration Reliability and Mathematics, Components Reliability and Hazard models, System Reliability models.
Reliability Engineering: Basic concepts of Reliability, Design for Reliability constraints and consideration Reliability and Mathematics, Components Reliability and Hazard models, System Reliability models.
Books & References Recommended:
1. Operation Research by Phillips & Ravindran
2. Operation Research by TAHA
3. Probability, Statistics & Decision in Civil Engineering by Benjamin & Cornell
4. optimization by S.S. Rao
1. Operation Research by Phillips & Ravindran
2. Operation Research by TAHA
3. Probability, Statistics & Decision in Civil Engineering by Benjamin & Cornell
4. optimization by S.S. Rao
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