ABSTRACT: The purpose of this paper is to introduce a new pivot rule of the simplex algorithm. The simplex algorithm first presented by George B. Dantzig, is a widely used method for solving a linear ...

Abstract: In this study, we propose a novel penalty reformulation and numerical solution method for optimal control problems (OCPs) of linear complementarity systems. The proposed reformulation aims ...

Abstract: The advent of the global navigation satellite system has greatly enhanced satellite positioning technology, with precise point positioning (PPP) emerging as a prominent technique. Despite ...

This repository provides a solution to the standard Capacitated Vehicle Routing Problem with Time Windows (CVRPTW). In a CVRPTW, we aim to optimize the routes of a fleet of vehicles serving customers ...

This code simulates the 1D heat conduction in a spherical body with multiple layers of different material compositions of varying thicknesses in the radial direction. This code is based on the ...