BENSOLVE

BENSOLVE is a solver for vector linear programs (VLP), in particular, for the subclass of multiple objective linear programs (MOLP). It is based on Benson’s algorithm and its extensions. BENSOLVE is a free software published under the terms of the GNU General Public License. It utilizes the GNU Linear Programming Kit (GLPK). BENSOLVE (from version 2) is written in C programming language. BENSOLVE provides the following features: arbitrary pointed solid polyhedral ordering cones; primal and dual algorithms; primal and dual solutions; support of unbounded problems; 3D graphics format output


References in zbMATH (referenced in 32 articles , 1 standard article )

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  1. Dinh, N.; Goberna, M.A.; López, Marco Antonio; Mo, Tran Hong: Farkas-type results for vector-valued functions with applications (2017)
  2. Feinstein, Zachary; Rudloff, Birgit: A recursive algorithm for multivariate risk measures and a set-valued Bellman’s principle (2017)
  3. Rudloff, Birgit; Ulus, Firdevs; Vanderbei, Robert: A parametric simplex algorithm for linear vector optimization problems (2017)
  4. Drapeau, Samuel; Hamel, Andreas H.; Kupper, Michael: Complete duality for quasiconvex and convex set-valued functions (2016)
  5. Eichfelder, Gabriele; Pilecka, Maria: Set approach for set optimization with variable ordering structures. I: Set relations and relationship to vector approach (2016)
  6. Greco, Salvatore (ed.); Ehrgott, Matthias (ed.); Figueira, José Rui (ed.): Multiple criteria decision analysis. State of the art surveys. In 2 volumes (2016)
  7. Löhne, Andreas; Weißing, Benjamin: Equivalence between polyhedral projection, multiple objective linear programming and vector linear programming (2016)
  8. Ararat, Çağın; Rudloff, Birgit: A characterization theorem for Aumann integrals (2015)
  9. Bruni, Renato; Cesarone, Francesco; Scozzari, Andrea; Tardella, Fabio: A linear risk-return model for enhanced indexation in portfolio optimization (2015)
  10. Crespi, Giovanni P.; Hamel, Andreas H.; Schrage, Carola: A Minty variational principle for set optimization (2015)
  11. Crespi, Giovanni P.; Rocca, Matteo; Schrage, Carola: Variational inequalities characterizing weak minimality in set optimization (2015)
  12. Crespi, Giovanni P.; Schrage, Carola: Set optimization meets variational inequalities (2015)
  13. Feinstein, Zachary; Rudloff, Birgit: Multi-portfolio time consistency for set-valued convex and coherent risk measures (2015)
  14. Feinstein, Zachary; Rudloff, Birgit: A comparison of techniques for dynamic multivariate risk measures (2015)
  15. Hernández, Elvira: A survey of set optimization problems with set solutions (2015)
  16. Roux, Alet; Zastawniak, Tomasz: Linear vector optimization and European option pricing under proportional transaction costs (2015)
  17. Schrage, Carola: Scalar representation and conjugation of set-valued functions (2015)
  18. Ehrgott, Matthias; Ide, Jonas; Schöbel, Anita: Minmax robustness for multi-objective optimization problems (2014)
  19. Hamel, Andreas H.; Löhne, Andreas: Lagrange duality in set optimization (2014)
  20. Hamel, Andreas H.; Löhne, Andreas; Rudloff, Birgit: Benson type algorithms for linear vector optimization and applications (2014)

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