Transcription of Linear Programming Lecture Notes
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Linear Programming Lecture Notes
Linear Programming : Penn State Math 484 Lecture NotesVersion Griffin 2009-2014 Licensed under a Creative Commons Attribution-Noncommercial-Share Alike United States LicenseWith Contributions By:Bob Pakzad-HursonGreg FerenceVeselka KafedzhievaMichael ClineAkinwale AkinbiyiEthan WrightRichard BenjaminDouglas MercerContentsList of FiguresvPrefaceixChapter 1. Introduction to Optimization11. A General Maximization Formulation22. Some Geometry for Optimization43. Gradients, Constraints and Optimization10 Chapter 2. Simple Linear Programming Problems131. Modeling Assumptions in Linear Programming142. Graphically Solving Linear Programs Problems with Two Variables (BoundedCase)163. Formalizing The Graphical Method174. Problems with Alternative Optimal Solutions185. Problems with No Solution206.
4.6 Convex Direction: Clearly every point in the convex set (shown in blue) can be the vertex for a ray with direction [1;0]T contained entirely in the convex set. Thus [1;0]T is a direction of this convex set.57 4.7 An Unbounded Polyhedral Set: This unbounded polyhedral set has many
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