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LPR281[Active]
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General
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Glossary of Linear Programming Terms
Overview
Formula sheet
Textbooks - O'REILLY
Study Guide
Assessments
Assignment 1
Assignment 2
Assignment 3
Mock Tests
Mock Test 1
Problems
PROBLEM 001: Blibs & Blobs
PROBLEM 005: Santa’s Workshop
PROBLEM 006: Farmer Brown (Acres)
PROBLEM 007: Farmer Brown (Bushels)
PROBLEM 008: Korean Auto
PROBLEM 009: ACME Chemicals
PROBLEM 010: Accessories Inc
PROBLEM 011: Limpopo Furniture
PROBLEM 012: Blacksmiths of Rohan
PROBLEM 013: Elves of Rivendell
PROBLEM 015: Freshman Diet
PROBLEM 021: PromotionsInc Advertising Agency
PROBLEM 022: Highland Appliance
PROBLEM 023: Apricot Computer Company
PROBLEM 024: Random Products
Books
Combinatory and Algorithmic Mathematics (Additional Book 1)
Programming and Resource Allocation Modelling (Additional Book 2)
Operations Research (Additional Book 3)
01. Formulation & Graphical Solutions
LO1 Graphical Solving
EXERCISES: Graphical Solutions
WORKED EXAMPLE 005: Santa’s Workshop-Problem Formulation
WORKED EXAMPLE 011: Limpopo Furniture-Problem Formulation
WORKED EXAMPLE 015: Freshman Diet-Problem Formulation
Working with Units
02. Primal Simplex Algorithm
LO1 Primal Simplex Algorithm
EXERCISES: Primal Simplex Algorithms
WORKED EXAMPLE 011: Limpopo Furniture-Primal Simplex
PROBLEM 005: Santa's Primal Simplex (DG Version)
Solutions: : Graphical and Primal Simplex
Simplex method - primal
Binding & Non-binding constraints
03. Two-Phase Simplex Algorithm
LO1 Two-Phase Simplex Algorithm
04. Goal Programming
LO2 Goal Programming
Exercises: Goal Programming
Solutions: Goal Programming
05. Dual Simplex Algorithm
LO3 Dual Simplex Algorithm
LO3 Simplex Algorithms special cases
WORKED EXAMPLE 006: Farmer Brown (Acres) - Dual Simplex Method
WORKED EXAMPLE 015: Freshman Diet-Dual Simplex
Exercises: Dual Simplex Algorithm
Solutions: Dual Simplex Algorithm
06. Graphical Sensitivity Analysis
LO4 Graphical Sensitivity Analysis
Exercises: Graphical Sensitivity Analysis
Solutions: Graphical Sensitivity Analysis
WORKED EXAMPLE 005: Santa’s Workshop - Graphical Sensitivity Analysis
WORKED EXAMPLE 008: Korean Auto - Graphical Sensitivity Analysis
Graphical sensitivity analysis on objective function coefficient
Graphical sensitivity analysis on a RHS constraint value
07. Mathematical Preliminaries
LO5 Mathematical Preliminaries
Exercises: Mathematical Preliminaries
Solutions: Mathematical Preliminaries
Matrix Decomposition of Tableaus
Reformulating matrix representation
WORKED EXAMPLE 015: Freshman Diet-Mathematical Formulation
08. Mathematical Sensitivity Analysis
LO6 Coefficients of Non-basic variables
LO7 Coefficients Basic variables
LO8 Non-basic variable columns
LO10 Constraint RHS columns
LO11 Adding Activities
LO12 Adding constraints
Exercises: Mathematical Sensitivity Analysis
Solutions: Mathematical Sensitivity Analysis
1. Changes to objective function NBV coefficients
2. Changes to objective function BV coefficients
3. Changes to constraint NBV coefficients
4. Changes to constraint RHS values
5. Adding Activities or Products
6. Adding Constraints
Summary of sensitivity analysis rules
WORKED EXAMPLE 015: Freshman Diet-Sensitivity Analysis
09. Duality & the Dual Theorem
LO13 Duality and The Dual Theorem
Exercises: Duality and The Dual Theorem
Solutions: Duality and The Dual Theorem
Duality and the Dual Theorem
10. Shadow Prices & Premium Shadow Prices
LO14 Shadow Prices & Premium Prices
Exercises: Shadow Prices & Premium Prices
Solutions: Shadow Prices & Premium Prices
11. Complementary Slackness
LO15 Complementary slackness
Exercises: Complementary slackness
Solutions: Complementary slackness
12. Data Envelopment Analysis
LO16 Data Envelopment Analysis
Exercises: Data Envelopment Analysis
Solutions: Data Envelopment Analysis
1. Data Envelopment Analysis (DEA)
WORKED EXAMPLE: Comparing Hospitals Using DEA
Lecturer Resources
Superceded
Extra Outcomes
Product Form
Revised Primal Simplex Algorithm
Revised Dual Simplex Algorithm
Revised Two-phase simplex algorithm
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LPR281[Active]
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Beginner