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Aspects of OR - Integer Programming (Part 1)
From LP to IP: why integrality matters, the combinatorial explosion, LP relaxations, and why rounding fails.
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Aspects of OR - Integer Programming (Part 2)
Branch and bound: the workhorse algorithm for integer programming, explained with a complete example showing all three pruning types.- Published on
Aspects of OR - Integer Programming (Part 3)
Cutting planes: tightening LP relaxations by slicing off fractional solutions, with Gomory cuts and cover inequalities.- Published on
Aspects of OR - Integer Programming (Part 4)
Branch-and-cut and how modern IP solvers work: combining branch and bound with cutting planes, presolve, heuristics, and parallelism.- Published on
Aspects of OR - Linear Programming (Part 1)
An introduction to linear programming: definitions, standard form, geometric intuition, and practical examples.- Published on
Aspects of OR - Linear Programming (Part 2)
The simplex method explained: slack variables, tableaux, pivoting, degeneracy, and a complete worked example.- Published on
Aspects of OR - Linear Programming (Part 3)
Duality in linear programming: the dual problem, strong duality, complementary slackness, shadow prices, and sensitivity analysis.- Published on
Aspects of OR - Traveling Salesperson Problem - Heuristics (Part 2)
Construction and improvement heuristics for the TSP: nearest neighbor, greedy, 2-opt, 3-opt, and Or-opt.- Published on
Aspects of OR - Traveling Salesperson Problem - Metaheuristics (Part 3)
Metaheuristics for the TSP: simulated annealing, genetic algorithms, and ant colony optimization.- Published on
Aspects of OR - Traveling Salesperson Problem (TSP)
A brief introduction to the Traveling Salesperson Problem (TSP)