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.
in a maximization problem with at least one jfor which z j c j = 0, indicates an in nite set of alternative optimal solutions.85 5.4 An optimization problem with a degenerate extreme point: The optimal solution to this problem is still (16;72), but this extreme point is degenerate, which will impact the behavior of the simplex algorithm.87
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