TY - JOUR
A1 - Furini, Fabio
A1 - Traversi, Emiliano
A1 - Belotti, Pietro
A1 - Frangioni, Antonio
A1 - Gleixner, Ambros
A1 - Gould, Nick
A1 - Liberti, Leo
A1 - Lodi, Andrea
A1 - Misener, Ruth
A1 - Mittelmann, Hans
A1 - Sahinidis, Nikolaos V.
A1 - Vigerske, Stefan
A1 - Wiegele, Angelika
T1 - QPLIB: A Library of Quadratic Programming Instances
T2 - Mathematical Programming Computation
N2 - 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, the constrains, or both are quadratic. QP is a very diverse class of problems, comprising sub-classes of problems ranging from trivial to undecidable. This diversity is reflected in the variety of solution methods for QP, ranging from entirely combinatorial ones to completely continuous ones, including many 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 many different interested communities is therefore important. We propose a simple taxonomy for QP instances that leads 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.
Y1 - 2019
UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/6755
VL - 11
IS - 2
SP - 237
EP - 265
ER -