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.
2 CHAPTER 1. MATHEMATICAL MODELING BY EXAMPLE Constraints: •producing x1 toy soldiers and x2 toy trains requires (a) 1x1 +1x2 hours in the carpentry shop; there are 80 hours available (b) 2x 1 +1x2 hours in the finishing shop; there are 100 hours available •the number x1 of toy soldiers produced should be at most 40 Variable domains: the numbers x 1, x2 of toy …
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