SCHOOL OF ENGINEERING & TECHNOLOGY MECHANICAL ENGINEERING M Tech 1 st Year 1 Course number MECxxx 2 Course Title OPERATIONS RESEARCH 3 Credits 4 4 Contact Hours (L- T-P) 4-0-0 5 Course Objective The objective of this course is to provide a scientific basis to the managers of an organisation for solving problems … CosmoLearning is not endorsed by IIT Madras, and we are not affiliated This course covers modeling and solving optimization problems under uncertainty. Any questions, claims or concerns In this course, Prof. G. Srinivasan gives 35 video lectures on Advanced Operations Research. A normal course load involves taking 120 units during the first two years, including core Operations Research courses and a minor area of concentration. MATH4202 will no longer be offered after 2021. The notes were meant to provide a succint summary of the material, most of which was loosely based on the book Winston-Venkataramanan: Introduction to Mathematical Programming (4th ed. To that extent a lot of graded problems have been covered in the videos. Travelling Salesman problem and extensions 5. research. Introduction and Linear Programming – Revised Simplex Algorithm-Simplex Method for Bounded Variables – One Dimensional Cutting Stock Problem – Dantzig – Wolfe Decomposition Algorithm – Primal -Dual Algorithm – Goal Programming – Formulations – Goal Programming Solutions Complexity of Simplex Algorithm – Complexity of Simplex Algorithm(Contd) Integer Programming – Integer Programming -Formulations – Solving Zero – One Problems(Contd) – Branch And Bond Algorithm For Integer Programming, Cutting Plane Algorithm – All Integer Primal Algorithm – All Integer Dual Algorithm – Network Models – Shortest Path Problem – Successive Shortest Path Problem – Minimum Cost Flow Problem – Traveling Salesman Problem(TSP) – Branch and Bound Algorithms for TSP – Heuristics for TSP – Chinese Postman Problem – Vehicle Routeing Problem – Queueing Models – Single Server Queueing Models – Multiple Server Queueing Models – Game Theory – Critical Path Method – Quadratic Programming, Advanced Operations Research-Lec1-Introduction and Linear Programming, Advanced Operations Research-Lec2-Revised Simplex Algorithm, Advanced Operations Research-Lec3-Simplex Method for Bounded Variables, Advanced Operations Research-Lec4-One Dimensional Cutting Stock Problem, Advanced Operations Research-Lec5-One Dimensional Cutting Stock Problem (Contd), Advanced Operations Research-Lec6-Dantzig-Wolfe Decomposition Algorithm, Advanced Operations Research-Lec7-Dantzig-Wolfe Decomposition Algorithm Primal-Dual Algorithm, Advanced Operations Research-Lec8-Primal-Dual Algorithm, Advanced Operations Research-Lec9-Goal Programming-Formulations, Advanced Operations Research-Lec10-Goal Programming Solutions Complexity of Simplex Algorithm, Advanced Operations Research-Lec11-Complexity of Simplex Algorithm (Contd) Integer Programming, Advanced Operations Research-Lec12-Integer Programming-Formulations, Advanced Operations Research-Lec13-Solving Zero-One Problems, Advanced Operations Research-Lec14-Solving Zero-One Problems (Contd), Advanced Operations Research-Lec15-Branch And Bond Algorithm For Integer Programming, Advanced Operations Research-Lec16-Cutting Plane Algorithm, Advanced Operations Research-Lec17-All Integer Primal Algorithm, Advanced Operations Research-Lec18-All Integer Dual Algorithm, Advanced Operations Research-Lec19-Network Models, Advanced Operations Research-Lec20-Shortest Path Problem, Advanced Operations Research-Lec21-Successive Shortest Path Problem, Advanced Operations Research-Lec22-Maximum Flow Problem, Advanced Operations Research-Lec23-Minimum Cost Flow Problem, Advanced Operations Research-Lec24-Traveling Salesman Problem (TSP), Advanced Operations Research-Lec25-Branch and Bound Algorithms for TSP, Advanced Operations Research-Lec26-Heuristics for TSP, Advanced Operations Research-Lec27-Heuristics for TSP (Contd), Advanced Operations Research-Lec28-Chinese Postman Problem, Advanced Operations Research-Lec29-Vehicle Routeing Problem, Advanced Operations Research-Lec30-Queueing Models, Advanced Operations Research-Lec31-Single Server Queueing Models, Advanced Operations Research-Lec32-Multiple Server Queueing Models, Advanced Operations Research-Lec33-Game Theory, Advanced Operations Research-Lec34-Critical Path Method, Advanced Operations Research-Lec35-Quadratic Programming, Advanced Operations Research-Lec36-Integer Programming(continued), Advanced Operations Research-Lec37-All Integer Dual Algorithm, Advanced Operations Research-Lec38-Mixed Integer Linear Programming, Advanced Operations Research-Lec39-Benders Partitioning Algorithm. 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