A typical problem requiring us to select a subset from a set of objects that meets some criteria...

MiniZinc allows us to directly describe and solve discrete optimization problems. MiniZinc is a modeling language, you can...

Scheduling is one of the most fascinating areas of Discrete Optimization. They are beautiful scientifically meanwhile there is...

Mixed Integer Program is a big field. Essentially a mixed integer program is a linear program with m...

Invented byย George Dantzig in 1947, Linear Programming is one of the most fundamental tools in combinatorial optimization. You...

Previously we talked about constraint programming, which actually works with partial assignments, we try to extend them, and...

Constraint Programming is one of the main paradigms to actually tackle optimization problems. The idea is to look...

Filling a knapsack is an NP-hard optimization problem, it is widely believed that in the worst case it...

Operations Research (3): Theory National Taiwan University What a long journey, but totally worth it! The theory taught...

The theory of Operations Research has been used to develop models in many fields like statistics and machine...

In the case of unconstrained non-linear programs, we may determine whether the objective function is convex and then...

Compared with linear programs, non-linear programs (NLPs) are much more difficult to solve. In an NLP, a local...

Network flow models are one specific format of mathematical programs. These are used to study operations that are...

Previously, we mentioned that an sensitivity analysis tool called Shadow Price is helpful to evaluate the impact of...

When you are given a linear program, in many cases we call it a primal linear program. It...

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