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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.. slackness..488 Other Simplex Simplex Method.. Simplex.. bounds.. Simplex with Upper Bounds.. Programming..579 Transportation Simplex Method..6010 Network Shortest Path Problem.. Minimum Spanning Tree.. Maximum Flow problem.. Minimum-cost Flow problem.

We call this a program. It is a linear program, because the objective is a linear function of the decision variables, and the constraints are linear inequalities (in the decision variables). Blending A companywants to producea certain alloy containing 30% lead, 30% zinc, and 40% tin. …

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