The classes P and NP. Advanced topics may vary from term to term. Learning Objectives Be able to: model decision making problems using linear optimization with possibly integer-valued variables, understand the geometry of linear problems and derivation of fundamental theorems related to linear programming, solve linear optimization problems using specialized algorithms such as the simplex method and its variants including the network simplex algorithm, solve mixed integer linear programs using specialized software and design customized algorithms, understand different classes of problems and be able to deduce hardness results for new problems.
Write the dual LP of any given LP and understand the economic interpretation ofthe dual. Define a vertex, extreme point, basic feasible solution, convex hull, convex cone, polyhedron, norm-ball, ellipsoid, extreme ray, local optimal solution, global optimal solution.
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Prove the representation theorems for bounded and pointed polyhedra, the fundamental theorem of LP, the separating hyperplane theorem, Farkas lemma, and weak and strong duality theorems. Apply the simplex algorithm and its variants revised simplex, dual simplex, network simplex, and etc.
Define a node, edge, graph, tree, path, network and formulate network flow theorems. Find the shortest path and minimum spanning tree of a network. Find a maximum flow and a minimum cut of a given network. Solve integer programs using branch-and-bound and branch-and-cut. Define NP-hardness and be familiar with basic results and reductions.
Engineering Optimization: Theory and Practice
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RF cavity design exploiting a new derivative-free trust region optimization approach
This program is designed to enable an engineering graduate to develop specific capabilities in design, synthesis and analysis of a wide variety of mechanical engineering systems. The program focuses on developing design methodologies which involve high degree of research orientation supplemented with practical insights. The students are periodically assessed by the teachers who are experts in chosen areas of Engineering Design, to ensure quality of education.
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On the whole, the Masters Program is committed to produce design engineers with excellent creative capabilities and calibre to solve real life problems curtailing to industry requirements, in tune with the objectives envisioned by the Amrita Vishwa Vidyapeetham. Skip to main content.
Toggle navigation. Admissions B. Postgraduate PG M. Academics This program is designed to enable an engineering graduate to develop specific capabilities in design, synthesis and analysis of a wide variety of mechanical engineering systems. Duration : Two years. Highlights of the Specialisation The program focuses on developing design methodologies and problem solving techniques which involve high degree of research orientation supplemented with practical insights.
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It facilitates design engineers to have creative capabilities and caliber to solve real life problems. The curriculum and course syllabus are revised every two years with the help of senior academicians from India and abroad and Industry professionals. Internships helps the students to strengthen the skills and research experience by involving in the real time projects.
Based on merit, students also get a chance to carry out their final year project work at European Universities under Indo- European initiative.