Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many practical ...

Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

Abstract: This chapter develops an innovative relation, called the characteristic equation (CE) for solving a pure integer program (PIP) and illustrates how the characteristic equation not only finds ...

The Journal of the Operational Research Society, Vol. 52, No. 5 (May, 2001), pp. 567-575 (9 pages) Several preprocessing rules to reduce integer programming problem size are proposed and examined for ...

https://doi.org/10.2307/2583984 • https://www.jstor.org/stable/2583984 Copy URL The main purpose of this paper is to demonstrate a real-world application of pure ...

This repository contains the implementation of an optimized university timetabling system using Integer Linear Programming (ILP) techniques. The system aims to efficiently allocate classrooms, ...

Integer arithmetic seems like an elementary school subject. But in programming, you should definitely not underestimate it. In fact, all safer C language subsets (e.g., MISRA-C:2012 [1]) have a whole ...

This project was developed to fulfill the specifications of the LPR38 (Linear Programming 381) course at my college. Its main goal is to create a program that can solve Linear Programming (LP) and ...

The 21st Conference on Integer Programming and Combinatorial Optimization (IPCO XXI) took place online on June 8-10. The conference was preceded by an online Summer School on June 6-7. The conference ...

In this paper, a decision problem involving a car parts manufacturing company is modeled in order to prepare the company for an increase in demand. Mixed-integer linear programming was used with the ...