Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

This repository contains a collection of prototype linear programming (LP) applications that implement specific algorithms I learned in college. The purpose is to demonstrate that these mathematical ...

We study a class of integer bilevel problems, the so-called Integer Linear Multiplicative Bilevel Problem, ILMBP, where the constraints are linear and both the upper level problem and the lower level ...

A new variant of the Adaptive Method (AM) of Gabasov is presented, to minimize the computation time. Unlike the original method and its some variants, we need not to compute the inverse of the basic ...

Implementation of simplex method in R. This implementation is not computationally efficient and goal is just to create simple educational solver, which can be somewhat useful to check manual ...

ABSTRACT: This study analyzes the sensitivity analysis using shadow price of plastic products. This is based on a research carried out to study optimization problem of BOPLAS, a plastic industry in ...

Abstract: A global convergent algorithm is proposed to solve bilevel linear fractional-linear programming, which is a special class of bilevel programming. In our algorithm, replacing the lower level ...

Abstract: In this paper, a hybrid genetic algorithm is proposed for solving nonlinear bilevel programming problems (BLPPs). In order to improve the feasibility of the individuals, for each fixed ...