vOptSolver is a solver of multiobjective linear optimization problems (MOMIP, MOLP, MOIP, MOCO). This repository concerns vOptGeneric, the part of vOptSolver devoted to multiobjective non-structured problems. With vOptGeneric, the problem is expressed using JuMP algebraic language extended to multiple objectives. vOptGeneric runs on macOS, linux-ubuntu, and windows. We suppose you are familiar with vOptSolver; if not, read first this presentation.
IMPORTANT (Feb-2023):
vOptGeneric.jl has been fully redesigned, and reimplemented. It becomes MultiObjectiveAlgorithms.jl (MOA), a collection of algorithms for multi-objective optimization integrated to JuMP and MathOptInterface. MOA comes with an enriched list of multi-objective algorithms, especially for solving problems with 3 objectives. Examples are available here:
Consequently vOptGeneric.jl is no longer under active development. It will remain available on Github at this URL. From February 2023, the JuMP-dev organization will continue to maintain the MOA package and transition development over the long term.
For a local use, a working version of:
On linux:
julia
On macOS:
julia
and Before your first use,
julia
on screen, julia> using Pkg
julia> Pkg.add("vOptGeneric")
julia> Pkg.add("JuMP")
julia> Pkg.add("GLPK")
That's all folk; at this point, vOptGeneric is properly installed.
When vOptGeneric is properly installed,
julia
on screen, julia> using vOptGeneric
julia> using JuMP
julia> using GLPK
vOptGeneric is ready. See examples for further informations and have fun with the solver!
Problem | Description | Output | Method | Parameter (if required) | Name |
---|---|---|---|---|---|
2-IP | bi-objective Integer Linear Program | Y_N | :epsilon | step = realValue | ϵ-constraint |
2-IP | bi-objective Integer Linear Program | Y_N | :chalmet or :Chalmet | step = realValue | Chalmet |
2-IP | bi-objective Integer Linear Program | Y_{SN} | :dicho or :dichotomy | (none) | Aneja & Nair |
p-MIP | multi-objective Mixed Integer Linear Program | Y_{lex} | :lex or :lexico | (none) | Lexicographic |
The folder examples
provides source code of problems ready to be solved.
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