BENSOLVE swMATH ID: 12273 Software Authors: Andreas Löhne; Benjamin Weißing Description: 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 Homepage: http://bensolve.org/ Related Software: GLPK; Guimoo; HIPRE 3+; OnBalance; DecideIT; Expert Choice; M-MACBETH; Visual PROMETHEE; CVX; CPLEX; Gurobi; Octave; RICH Decisions; PROBE; TRIMAP; ADBASE; Qhull; Python; Decisionarium; Decerns MCDA Cited in: 87 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year Vector optimization with infimum and supremum. Zbl 1230.90002Löhne, Andreas 2011 all top 5 Cited by 117 Authors 18 Löhne, Andreas 11 Hamel, Andreas H. 11 Rudloff, Birgit 8 Schrage, Carola 5 Crespi, Giovanni Paolo 5 Weißing, Benjamin 4 Ulus, Firdevs 3 Ciripoi, Daniel 3 Feinstein, Zachary 3 Goberna, Miguel Angel 3 Heyde, Frank 3 Kostner, Daniel 3 Yao, Chaoli 2 Antoni, Carla 2 Ehrgott, Matthias 2 Eichfelder, Gabriele 2 Forget, Nicolas 2 Gadegaard, Sune Lauth 2 Hernández, Elvira 2 Kabanov, Yuriĭ Mikhaĭlovich 2 Kováčová, Gabriela 2 Lépinette, Emmanuel 2 Li, Shengjie 2 Liesiö, Juuso 2 López-Cerdá, Marco Antonio 2 Nielsen, Lars Relund 2 Rocca, Matteo 2 Schöbel, Anita 2 Wagner, Andrea 1 Al-Homidan, Suliman S. 1 Alshahrani, Mohammed M. 1 Alves, Maria João 1 Andelmin, Juho 1 Ansari, Qamrul Hasan 1 Ararat, Çağın 1 Argyris, Nikolaos 1 Balestro, Vitor 1 Borndörfer, Ralf 1 Bruni, Renato 1 Cascos, Ignacio 1 Cesarone, Francesco 1 Chai, Yanfei 1 Chen, Jiawei 1 Cong, Yuhao 1 Csirmaz, László 1 Dhingra, Mansi 1 Doğan, Saliha Ferda 1 Dörfler, Daniel 1 Dowson, Oscar 1 Drapeau, Samuel 1 Figueira, José Rui 1 García-Castaño, Fernando 1 Garcia, Joaquim Dias 1 Geoffroy, Michel H. 1 Giannessi, Franco 1 Greco, Salvatore 1 Gutiérrez, César 1 Henggeler Antunes, Carlos 1 Ide, Jonas 1 Jeyakumar, Vaithilingam 1 Kaihnsa, Nidhi 1 Kallio, Markku 1 Karsu, Özlem 1 Kassay, Gábor 1 Klamroth, Kathrin 1 Krüger, Corinna 1 Kupper, Michael 1 Lalitha, C. S. 1 Legat, Benoît 1 Li, Guoyin 1 Liu, Sanyang 1 Long, Dang Hai 1 López, Ruben 1 Lubin, Miles 1 Martini, Horst 1 Miglierina, Enrico 1 Miholca, Mihaela 1 Mo, Tran Hong 1 Molchanov, Ilya S. 1 Molho, Elena 1 Mulder, Bela M. 1 Nghe, Philippe 1 Nobakhtian, Soghra 1 Noskov, Sergey I. 1 Novo-Sanjurjo, Vicente 1 Padial, Miguel Angel Melguizo 1 Piercy, Craig A. 1 Pilecka, Maria 1 Przybylski, Anthony 1 Rodriguez Marin, Luis 1 Roux, Alet 1 Salo, Ahti A. 1 Sama, Miguel 1 Schenker, Sebastian 1 Scozzari, Andrea 1 Shafiei, Narjes 1 Shao, Lizhen 1 Skutella, Martin 1 Som, Kuntal 1 Steuer, Ralph E. ...and 17 more Authors all top 5 Cited in 33 Serials 11 Journal of Global Optimization 10 Journal of Optimization Theory and Applications 10 Optimization 9 European Journal of Operational Research 7 Mathematical Methods of Operations Research 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Economics 2 Computers & Operations Research 2 Journal of Convex Analysis 2 Set-Valued and Variational Analysis 1 Applicable Analysis 1 Journal of Multivariate Analysis 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Operations Research 1 Revista de la Unión Matemática Argentina 1 Operations Research Letters 1 Annals of Operations Research 1 Computational Statistics and Data Analysis 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Top 1 INFORMS Journal on Computing 1 Finance and Stochastics 1 Mathematical Finance 1 International Journal of Theoretical and Applied Finance 1 RAIRO. Operations Research 1 Matematicheskoe Modelirovanie 1 Decisions in Economics and Finance 1 OR Spectrum 1 International Series in Operations Research & Management Science 1 Mathematics and Financial Economics all top 5 Cited in 18 Fields 64 Operations research, mathematical programming (90-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Convex and discrete geometry (52-XX) 7 Real functions (26-XX) 7 Functional analysis (46-XX) 5 General topology (54-XX) 4 Operator theory (47-XX) 4 Probability theory and stochastic processes (60-XX) 4 Numerical analysis (65-XX) 3 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) Citations by Year