This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that certain ...

This paper presents a novel mixed-integer linear programming (MILP) model for the electric vehicle charging coordination (EVCC) problem in unbalanced electrical distribution systems (EDSs).

Here, we present a critical finding that the network flow structure embedded in the integer linear programming formulation of the computational protein design problem makes it equivalent to a ...

A Mixed-Integer-Linear-Programming (MILP) problem, formulation, and solution for a power systems generator biding strategy. The objective function is the sum of the unit price of the MW multiplied by ...

Learn the main differences between linear and nonlinear programming, examples of problems that require each method, and tips to identify the best method.

Solve mixed integer nonlinear programming (MINLP) problems with our exact penalty approach. Convert MINLP to NLP problems with continuous variables for precise solutions. Explore exactness conditions ...

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep ...

This paper deals with the aircraft landing problem, which consists of determining a landing time for each aircraft within the radar range of an airport and allocating it to a runway. We propose an ...