QPLIB swMATH ID: 31286 Software Authors: Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika Description: QPLIB: a library of quadratic programming instances. This paper describes a new instance library for quadratic programming (QP), i.e., the family of continuous and (mixed)-integer optimization problems where the objective function and/or the constraints are quadratic. QP is a very diverse class of problems, comprising sub-classes ranging from trivial to undecidable. This diversity is reflected in the variety of QP solution methods, ranging from entirely combinatorial approaches to completely continuous algorithms, including many methods for which both aspects are fundamental. Selecting a set of instances of QP that is at the same time not overwhelmingly onerous but sufficiently challenging for the different, interested communities is therefore important. We propose a simple taxonomy for QP instances leading to a systematic problem selection mechanism. We then briefly survey the field of QP, giving an overview of theory, methods and solvers. Finally, we describe how the library was put together, and detail its final contents. Homepage: https://link.springer.com/article/10.1007%2Fs12532-018-0147-4 Keywords: instance library; quadratic programming; mixed-integer quadratically constrained quadratic programming; binary quadratic programming Related Software: CPLEX; SCIP; MIPLIB; Gurobi; BiqCrunch; QuadProgBB; BARON; Mosek; quadprogIP; SPOTless; MINLPLib; XPRESS; Benchmarks for Optimization Software; Julia; Ipopt; GAMS; Couenne; ANTIGONE; GloMIQO; LINDOGlobal Cited in: 19 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year QPLIB: a library of quadratic programming instances. Zbl 1435.90099Furini, Fabio; Traversi, Emiliano; Belotti, Pietro; Frangioni, Antonio; Gleixner, Ambros; Gould, Nick; Liberti, Leo; Lodi, Andrea; Misener, Ruth; Mittelmann, Hans; Sahinidis, Nikolaos V.; Vigerske, Stefan; Wiegele, Angelika 2019 all top 5 Cited by 73 Authors 3 Mittelmann, Hans Detlef 3 Traversi, Emiliano 2 Bettiol, Enrico 2 Gleixner, Ambros M. 2 Hrga, Timotej 2 Létocart, Lucas 2 Liuzzi, Giampaolo 2 Locatelli, Marco 2 Lodi, Andrea 2 Piccialli, Veronica 2 Povh, Janez 2 Rinaldi, Francesco 2 Wiegele, Angelika 1 Achterberg, Tobias 1 Adjé, Assalé 1 Aldasoro, Unai 1 Atamtürk, Alper 1 Bastubbe, Michael 1 Beach, Benjamin 1 Belotti, Pietro 1 Berthold, Timo 1 Bomze, Immanuel M. 1 Bonami, Pierre 1 Chen, Jingnan 1 Chen, Tong 1 Christophel, Philipp M. 1 Domes, Ferenc 1 Edirisinghe, N. Chanaka P. 1 Frangioni, Antonio 1 Furini, Fabio 1 Gamrath, Gerald 1 Gionis, Aristides 1 Gould, Nick I. M. 1 Gusmeroli, Nicoló 1 Hendel, Gregor 1 Hildebrand, Robert 1 Hribar, Rok 1 Huchette, Joey 1 Jarck, Kati 1 Jeong, Jaehwan 1 Kheirandishfard, Mohsen 1 Koch, Thorsten 1 Lasserre, Jean-Bernard 1 Lavaei, Javad 1 Liberti, Leo 1 Linderoth, Jeff T. 1 Lozano, Leonardo 1 Lübbecke, Marco E. 1 Lužar, Borut 1 Madani, Ramtin 1 Magron, Victor 1 Mahadevan, Ananth 1 Matakos, Antonis 1 Merino, María 1 Misener, Ruth 1 Montanher, Tiago 1 Neumaier, Arnold 1 Ordozgoiti, Bruno 1 Özyurt, Derya B. 1 Papa, Gregor 1 Pauwels, Edouard Jean Robert 1 Pérez, Gloria 1 Petelin, Gašper 1 Pržulj, Nataša 1 Ralphs, Ted K. 1 Rass, Stefan 1 Sahinidis, Nikolaos V. 1 Salvagnin, Domenico 1 Shinano, Yuji 1 Siebenhofer, Melanie 1 Vigerske, Stefan 1 Vukašinović, Vida 1 Zarpellon, Giulia all top 5 Cited in 13 Serials 4 Journal of Global Optimization 3 Computational Optimization and Applications 2 Mathematical Programming Computation 1 ACM Transactions on Mathematical Software 1 Journal of Optimization Theory and Applications 1 Operations Research 1 Computers & Operations Research 1 Annals of Operations Research 1 European Journal of Operational Research 1 INFORMS Journal on Computing 1 Data Mining and Knowledge Discovery 1 Optimization Letters 1 SN Operations Research Forum all top 5 Cited in 7 Fields 18 Operations research, mathematical programming (90-XX) 3 Numerical analysis (65-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Citations by Year