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.. 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.. Network Simplex Algorithm.. Network Simplex Algorithm with capacitites.. Complete example.
These lecture notes were written during the Fall/Spring 2013/14 semesters to accompany lectures of the course IEOR 4004: Introduction to Operations Research - Deterministic Models. The notes were meant to provide a succint summary of the material, most of which was loosely based on the book Winston-Venkataramanan: Introduction to
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