Transcription of Introduction to Operations Research
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Introduction to Operations Research
Introduction toOperations ResearchDeterministic ModelsJURAJSTACHOD epartment of Industrial Engineering and Operations ResearchContents1 Mathematical modeling by formulation..32 Linear a linear program.. and further tricks..83 Solving linear method.. Elimination (FME)..134 Simplex form.. method by example.. phase Simplex method.. cases..235 Linear Algebra of linear equations..316 Sensitivity the objective function.. the right-hand side value.. example.. a variable/activity.. a constraint.. the left-hand side of a constraint.. interpretation.. Theorems and Feasibility.. LPs.
absolute amount of Alloy i in the blend. That may lead to a non-linear program.) With that we can setup constraints and the objective function. Min 7.3x1 + 6.9x2 + 7.3x3 + 7.5x4 + 7.6x5 + 6.0x6 + 5.8x7 + 4.3x8 + 4.1x9 = z [Cost] s.t. x1 + x2 + x3 + x4 + x5 + x6 + x7 + x8 + x9 = 1 0.2x 1 + 0.5x2 + 0.3x3 + 0.3x 4 + 0.3x5 + 0.6x6 + 0.4x7 + 0.1x8 ...
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