Algorithms for generating pareto fronts of multi-objective integer and mixed-integer programming problems

RS Burachik, CY Kaya, MM Rizvi - Engineering Optimization, 2022 - Taylor & Francis
Multi-objective integer or mixed-integer programming problems typically have disconnected
feasible domains, making the task of constructing an approximation of the Pareto front …

[HTML][HTML] New ϵ− constraint methods for multi-objective integer linear programming: A Pareto front representation approach

M Mesquita-Cunha, JR Figueira… - European Journal of …, 2023 - Elsevier
Dealing with multi-objective problems by using generation methods has some interesting
advantages since it provides the decision-maker with the complete information about the set …

An interactive preference-guided firefly algorithm for personalized tourist itineraries

D Trachanatzi, M Rigakis, M Marinaki… - Expert Systems with …, 2020 - Elsevier
The present research proposes an interactive optimization framework to aid tourists to
organize their trip by generating personalized walking itineraries among several Points of …

[HTML][HTML] Effective anytime algorithm for multiobjective combinatorial optimization problems

MÁ Domínguez-Ríos, F Chicano, E Alba - Information Sciences, 2021 - Elsevier
In multiobjective optimization, the result of an optimization algorithm is a set of efficient
solutions from which the decision maker selects one. It is common that not all the efficient …

New mixed integer fractional programming problem and some multi-objective models for sparse optimization

B Pirouz, M Gaudioso - Soft Computing, 2023 - Springer
We propose a novel Mixed-Integer Nonlinear Programming (MINLP) model for sparse
optimization based on the polyhedral k-norm. We put special emphasis on the application of …

An approximation algorithm for multiobjective mixed-integer convex optimization

I Lammel, KH Küfer, P Süss - Mathematical Methods of Operations …, 2024 - Springer
In this article we introduce an algorithm that approximates the nondominated sets of
multiobjective mixed-integer convex optimization problems. The algorithm constructs an …

Split algorithms for multiobjective integer programming problems

Ö Karsu, F Ulus - Computers & Operations Research, 2022 - Elsevier
We consider split algorithms that partition the objective function space into p or p− 1
dimensional regions so as to search for nondominated points of multiobjective integer …

An extension of the non-inferior set estimation algorithm for many objectives

MM Raimundo, PAV Ferreira, FJ Von Zuben - European Journal of …, 2020 - Elsevier
This work proposes a novel multi-objective optimization approach that globally finds a
representative non-inferior set of solutions, also known as Pareto-optimal solutions, by …

A criterion space decomposition approach to generalized tri-objective tactical resource allocation

S Fotedar, AB Strömberg, T Almgren… - Computational …, 2023 - Springer
We present a tri-objective mixed-integer linear programming model of the tactical resource
allocation problem with inventories, called the generalized tactical resource allocation …

Representing the nondominated set in multi-objective mixed-integer programs

I Doğan, B Lokman, M Köksalan - European Journal of Operational …, 2022 - Elsevier
In this paper, we consider generating a representative subset of nondominated points at a
prespecified precision in multi-objective mixed-integer programs (MOMIPs). The number of …