Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

In this study, we propose an exact method for optimizing a linear function over the efficient set of a multi-objective transportation problem (MOTP). This type of problem arises when a decision maker ...

In the context of my coursework for the Non-linear Programming course at university, I tackled various non-linear optimization problems using MATLAB. This project serves as a collection of my ...

ABSTRACT: This work formulates and implements a mathematical optimization program to assist water managers with water allocation and banking decisions to meet demands. Linear programming is used to ...

Abstract: In this article, we propose a model predictive control (MPC) with a single-step prediction horizon to approximate the solution of infinite horizon optimal control problems with the expected ...

ABSTRACT: In this paper we study one-dimensional Fisher-Kolmogorov equation with density dependent non-linear diffusion. We choose the diffusion as a function of cell density such that it is high in ...