@inproceedings{BorndoerferSchenkerSkutellaetal.2016, author = {Bornd{\"o}rfer, Ralf and Schenker, Sebastian and Skutella, Martin and Strunk, Timo}, title = {PolySCIP}, volume = {9725}, booktitle = {Mathematical Software - ICMS 2016, 5th International Conference, Berlin, Germany, July 11-14, 2016, Proceedings}, editor = {Greuel, G.-M. and Koch, Thorsten and Paule, Peter and Sommese, Andrew}, edition = {Mathematical Software - ICMS 2016}, publisher = {Springer International Publishing}, isbn = {978-3-319-42431-6}, doi = {10.1007/978-3-319-42432-3_32}, pages = {259 -- 264}, year = {2016}, abstract = {PolySCIP is a new solver for multi-criteria integer and multi-criteria linear programs handling an arbitrary number of objectives. It is available as an official part of the non-commercial constraint integer programming framework SCIP. It utilizes a lifted weight space approach to compute the set of supported extreme non-dominated points and unbounded non-dominated rays, respectively. The algorithmic approach can be summarized as follows: At the beginning an arbitrary non-dominated point is computed (or it is determined that there is none) and a weight space polyhedron created. In every next iteration a vertex of the weight space polyhedron is selected whose entries give rise to a single-objective optimization problem via a combination of the original objectives. If the ptimization of this single-objective problem yields a new non-dominated point, the weight space polyhedron is updated. Otherwise another vertex of the weight space polyhedron is investigated. The algorithm finishes when all vertices of the weight space polyhedron have been investigated. The file format of PolySCIP is based on the widely used MPS format and allows a simple generation of multi-criteria models via an algebraic modelling language.}, language = {en} } @incollection{SchenkerVierhausBorndoerferetal.2017, author = {Schenker, Sebastian and Vierhaus, Ingmar and Bornd{\"o}rfer, Ralf and F{\"u}genschuh, Armin and Skutella, Martin}, title = {Optimisation Methods in Sustainable Manufacturing}, booktitle = {Sustainable Manufacturing}, editor = {Stark, Rainer and Seliger, G{\"u}nther and Bonvoisin, J{\´e}r{\´e}my}, publisher = {Springer International Publishing}, isbn = {978-3-319-48514-0}, doi = {10.1007/978-3-319-48514-0_15}, pages = {239 -- 253}, year = {2017}, abstract = {Sustainable manufacturing is driven by the insight that the focus on the economic dimension in current businesses and lifestyles has to be broadened to cover all three pillars of sustainability: economic development, social development, and environmental protection.}, language = {en} }