Transcription of Optimisation and Operations Research
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Optimisation and Operations Research
Optimisation and Operations ResearchLecture 3: Linear ProgrammingMatthew of Mathematical Sciences,University of AdelaideJuly 12, 2017 Section 1 Linear ProgrammingMatthew Roughan (School of Mathematical Sciences, University of Adelaide)OORIIJuly 12, 20172 / 36 Linear equations and inequalitiesWe will need some tools to understand the shape of a region defined bylinear inequalitiesWe havenvariablesxi, sox RnWe haveminequalities defining the shape of thefeasibleregionAx b,whereIAis anm nmatrixIbis a lengthmcolumn vectorAlso we havennon-negativity constraintsx 0 Let s see what we can say/do about this that when we use or for vectors in this course, we mean, foreach element of the Roughan (School of Mathematical Sciences, University of Adelaide)OORIIJuly 12, 20173 / 36 The Feasible RegionThere are four possibilities.
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