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04231 Static and Dynamic Optimization
Danish title: Statisk og dynamisk optimering

Type: Å, Language: DDD
Credit points: 5 point
Previous course: C0404
Offered by: Department of Mathematical Modelling (IMM)
No credit points with: C0404
Prerequisite: 04030/C0403.04041/C0401
Recommended semester: 4th -7th semester
Scope and form: Lectures and excercises.
Examination: Assessment of report and approval of exercises. Delivering report. (13 point scale )
Contact person: Victor Vidal, IMM, Building 321, Tel. +45 4525 3379
Aim: To give - both in theory and in practice - a well-founded knowledge of static and dynamic optimization models. These models are used in connection with decision support systems where the students learn how to formulate problems and to select methods for problem solving within operations research and engineering.
Contents: Static optimization: Everett's Theory, Kuhn-Tucker Theory, Duality, Gradient Methods. Examples of applications: Production Planning, Process Control, Economic Models. Dynamic Optimization: Pontrijagin's Maximum Principle, Dynamic Programming, Bellmann's Optimality Principle. Examples of applications: Pipeline Problems, Production Planning, Economic models. Case Studies: Inventory Control, Stochastic Programming and Stochastic Control Theory.