Management Science (Operations Research)
Content
- Management Science 1 (Operations Research 1):
- Introduction to Operations Research: planning models and methods.
- Networks, graphs, and their applications: Paths in graphs, networks, flows in graphs, transportation problem
- Linear Optimization: basic model structures, Simplex algorithm, special LP structures, different phases of Simplex, variables with lower and upper bounds, post-optimality analysis (sensitivity analysis), parametric optimization, applications and modeling, duality.
- Integer linear optimization: Examples and case studies, Branch & Bound, Cutting Planes.
- Stochastic Processes: Queueing theory, simulation of stochastic processes.
- Management Science 2 (Operations Research 2):
- Nonlinear Optimization: Unconstrained and constrained nonlinear problems and models, Convex optimization, Karush-Kuhn-Tucker-conditions, lagrangian method, Quadratic optimization (Wolfe’s Algorithm), approximation methods (Golden Section, Gradient Method), Barrier methods, Penalty methods.
- Heuristics: problem search methods (A*-algorithm), local search methods, Simulated Annealing, Genetic Algorithms.
