Examining real-world challenges reveals that there are numerous approaches to guiding a problem toward a solution. Some methods may be intricate, while others could be straightforward. The ...

The simplex method is a fast and efficient algorithm for solving linear programming. Inspired by the optimization method and the simplex method in Seminar 1, this project considers programming the ...

CBSE 2025 Competency-Based Questions: The Central Board of Secondary Education (CBSE) has officially released the practice question paper for the academic year 2024-25, for the class 12th on its ...

In this paper, we propose a reference direction approach and an interactive algorithm to solve the general multiple objective integer linear programming problem. At each iteration, only one mixed ...

This paper describes the development of a mixed-integer linear programming (MILP) model for the standard N-job, M-machine flowshop sequencing problem. Based on an earlier all-integer model developed ...

Abstract: Integer Linear Programming (ILP) is an important mathematical approach for solving time-sensitive real-life optimization problems, including network routing, map routing, traffic scheduling, ...

Abstract: 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 ...