In this unit, we will be examining situations that involve constraints. A constraint is a hard limit placed on the value of a variable, which prevents us from going forever in certain directions. With nonlinear …

Powerful constraint: enforces that all intervals in the array do not overlap with each other! What’s the makespan of this solution?

It will be helpful to distinguish cases where a particular constraint mat-ters and where it does not. We say that a constraint g(x) ≤ b binds at x∗ if g(x∗) = b. Otherwise the constraint is non-binding. The …

Constraint satisfaction problems (CSP) often deal with the optimisation of a function together with the satisfaction of constraints. In the continuum, it is a classical mathematical problem like for example: …

Constraints are an ubiquitous concept, which in its broader sense pertains to every day experience: they represent the conditions which restrict our freedom of decision. In fact, how much our choices are …

In optimization problems, we seek an optimum solution, such as the maximum or minimum value of an expression. One such expression is xT Ax, in which A is a symmetric matrix. This form is called the …

Constraint programming (CP) is a general framework for modeling and solving CSP’s: Offers the user many kinds of constraints, which makes modeling easy and natural