Schedule: Please note that the topic schedule is a guide only, we may spend more or less time on a topic based on student backgrounds and class discussions. The test and final exam times will occur on the dates listed -- content of the tests may be altered based on the material covered prior to test date. Date September October November Topics Chapter/Section 9 Introduction to Linear Programming & Graphical Examples Problem Formulation 1.1-1.2; 3.1-3.3 3.4-3.12 16 LP Software & Spreadsheet Software Review: Solving Systems of Linear Equations, Rank, Inverse 4.9-4.10, 4.17 2.1-2.6 23 Converting to Standard Form & Basic Feasible Solutions Algebra of the Simplex Method & Tableau Method 4.1-4.2, 4.4, 4.14 4.5-4.6 30 Revised Simplex Algorithm Special Cases, Cycling & Degeneracy Big M Method & Two-Phase Method 10.1 4.3, 4.7-4.8, 4.11 4.12-4.13 7 Test 1 14 Interior Point Method (Karmarkar’s Method) Multiattribute Decision Making – Goal Programming 4.15, 10.6 4.16 21 Product Form of the Inverse Sensitivity Analysis 10.2 (5.1-5.4); 6.1-6.4 28 Dual Simplex Method / Duality / Sensitivity Analysis Duality / Complementary Slackness 6.5, 6.11 6.6-6.10 Duality / Data Envelopment Analysis Bounded Variables Simplex Algorithm 6.12 (10.5) 11 Transportation Problem / Transshipment Problem Assignment Problem (Project Report 1 Due) 7.1-7.4, 7.6 7.5 18 Test 2 Integer Programming Intro / Formulation & Models Branch & Bound – Pure & Mixed Integer Programs 9.1-9.2 9.3-9.4 Branch & Bound – Knapsack and Combinatorial Problems Cutting Planes – Pure & Mixed Integer Programs 9.5-9.6 9.8 4 25 Thanksgiving Recess – November 27 – December 1 December 2 Column Generation / Dantzig-Wolfe Decomposition (Project Report 2 Due) December 9 FINAL EXAM Period (Monday 7:15 - 9:15 PM) 10.3-10.4 1