@misc{FuegenschuhGeisslerGollmeretal., author = {F{\"u}genschuh, Armin and Geißler, Bj{\"o}rn and Gollmer, Ralf and Hayn, Christine and Henrion, Ren{\´e} and Hiller, Benjamin and Humpola, Jesco and Koch, Thorsten and Lehmann, Thomas and Martin, Alexander and Mirkov, Radoslava and Morsi, Antonio and R{\"o}vekamp, Jessica and Schewe, Lars and Schmidt, Martin and Schultz, R{\"u}diger and Schwarz, Robert and Schweiger, Jonas and Stangl, Claudia and Steinbach, Marc C. and Willert, Bernhard M.}, title = {Mathematical Optimization for Challenging Network Planning Problems in Un- bundled Liberalized Gas Markets}, series = {Energy Systems}, volume = {5}, journal = {Energy Systems}, number = {3}, issn = {1868-3975}, doi = {10.1007/s12667-013-0099-8}, pages = {449 -- 473}, language = {en} } @misc{DefterliFuegenschuhWeber, author = {Defterli, {\"O}zlem and F{\"u}genschuh, Armin and Weber, Gerhard Wilhelm}, title = {Modern Tools for the Time-Discrete Dynamics and Optimization of Gene- Environment Networks}, series = {Communications in Nonlinear Science and Numerical Simulation}, volume = {16}, journal = {Communications in Nonlinear Science and Numerical Simulation}, number = {12}, issn = {1007-5704}, doi = {10.1016/j.cnsns.2011.03.003}, pages = {4768 -- 4779}, language = {en} } @misc{Fuegenschuh, author = {F{\"u}genschuh, Armin}, title = {A set partitioning reformulation of a school bus scheduling problem}, series = {Journal of Scheduling}, volume = {14}, journal = {Journal of Scheduling}, issn = {1099-1425}, doi = {10.1007/s10951-011-0234-0}, pages = {307 -- 318}, language = {en} } @misc{FrankFuegenschuhHertyetal., author = {Frank, Martin and F{\"u}genschuh, Armin and Herty, Michael and Schewe, Lars}, title = {The Coolest Path Problem}, series = {Networks \& Heterogeneous Media}, volume = {5}, journal = {Networks \& Heterogeneous Media}, number = {1}, issn = {1438-0064}, doi = {10.3934/nhm.2010.5.143}, pages = {143 -- 162}, language = {en} } @misc{FuegenschuhGoettlichKirchneretal., author = {F{\"u}genschuh, Armin and G{\"o}ttlich, Simone and Kirchner, Claus and Herty, Michael and Martin, Alexander}, title = {Efficient Reformulation and Solution of a Nonlinear PDE-Controlled Flow Network Model}, series = {Computing}, volume = {85}, journal = {Computing}, number = {3}, issn = {0010-485X}, doi = {10.1007/s00607-009-0038-7}, pages = {245 -- 265}, language = {en} } @misc{DittelFuegenschuhGoettlichetal., author = {Dittel, Agnes and F{\"u}genschuh, Armin and G{\"o}ttlich, Simone and Herty, Michael}, title = {MIP Presolve Techniques for a PDE-based Supply Chain Model}, series = {Optimization Methods and Software}, volume = {24}, journal = {Optimization Methods and Software}, number = {3}, issn = {1029-4937}, doi = {10.1080/10556780902752595}, pages = {427 -- 445}, language = {en} } @misc{BambachFuegenschuhBuhletal., author = {Bambach, Markus and F{\"u}genschuh, Armin and Buhl, Johannes and Jensch, Felix and Schmidt, Johannes}, title = {Mathematical Modeling and Optimization for Powder-Based Additive Manufacturing}, series = {Procedia Manufacturing; Part of Special issue: 23rd International Conference on Material Forming}, volume = {47}, journal = {Procedia Manufacturing; Part of Special issue: 23rd International Conference on Material Forming}, editor = {Bambach, Markus}, issn = {2351-9789}, doi = {10.1016/j.promfg.2020.04.158}, pages = {1159 -- 1163}, language = {en} } @misc{BeisegelChiarelliKoehleretal., author = {Beisegel, Jesse and Chiarelli, Nina and K{\"o}hler, Ekkehard and Krnc, Matjaž and Milanič, Martin and Pivač, Nevena and Scheffler, Robert and Strehler, Martin}, title = {Edge Elimination and Weighted Graph Classes}, series = {Graph-Theoretic Concepts in Computer Science - 46th International Workshop, {WG} 2020, Leeds, UK, June 24-26, 2020}, journal = {Graph-Theoretic Concepts in Computer Science - 46th International Workshop, {WG} 2020, Leeds, UK, June 24-26, 2020}, editor = {Adler, Isolde and M{\"u}ller, Haiko}, publisher = {Springer}, address = {Cham}, isbn = {978-3-030-60439-4}, issn = {1611-3349}, doi = {10.1007/978-3-030-60440-0_11}, pages = {134 -- 147}, language = {en} } @misc{BeisegelKoehlerScheffleretal., author = {Beisegel, Jesse and K{\"o}hler, Ekkehard and Scheffler, Robert and Strehler, Martin}, title = {Linear Time LexDFS on Chordal Graphs}, series = {28th Annual European Symposium on Algorithms (ESA) 2020, September 7-9, 2020, Pisa, Italy)}, volume = {173}, journal = {28th Annual European Symposium on Algorithms (ESA) 2020, September 7-9, 2020, Pisa, Italy)}, publisher = {Schloss Dagstuhl, Leibnitz Zentrum f{\"u}r Informatik}, doi = {10.4230/LIPIcs.ESA.2020.13}, url = {http://nbn-resolving.de/urn:nbn:de:0030-drops-128790}, pages = {13:1 -- 13:13}, language = {en} } @misc{BaehrBuhlRadowetal., author = {B{\"a}hr, Martin and Buhl, Johannes and Radow, Georg and Schmidt, Johannes and Bambach, Markus and Breuß, Michael and F{\"u}genschuh, Armin}, title = {Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing}, series = {Optimization and Engineering}, volume = {22}, journal = {Optimization and Engineering}, number = {2}, issn = {1573-2924}, doi = {10.1007/s11081-020-09552-5}, pages = {913 -- 974}, abstract = {We consider two mathematical problems that are connected and occur in the layer-wise production process of a workpiece using wire-arc additive manufacturing. As the first task, we consider the automatic construction of a honeycomb structure, given the boundary of a shape of interest. In doing this, we employ Lloyd's algorithm in two different realizations. For computing the incorporated Voronoi tesselation we consider the use of a Delaunay triangulation or alternatively, the eikonal equation. We compare and modify these approaches with the aim of combining their respective advantages. Then in the second task, to find an optimal tool path guaranteeing minimal production time and high quality of the workpiece, a mixed-integer linear programming problem is derived. The model takes thermal conduction and radiation during the process into account and aims to minimize temperature gradients inside the material. Its solvability for standard mixed-integer solvers is demonstrated on several test-instances. The results are compared with manufactured workpieces.}, language = {en} } @misc{KhanHasanQuddoosetal., author = {Khan, Mohammad Faisal and Hasan, Md. Gulzarul and Quddoos, Abdul and F{\"u}genschuh, Armin}, title = {Goal Programming Models with Linear and Exponential Fuzzy Preference Relations}, series = {Symmetry}, volume = {12}, journal = {Symmetry}, number = {6}, issn = {2073-8994}, doi = {10.3390/sym12060934}, pages = {28}, language = {en} } @misc{AliFuegenschuhGuptaetal., author = {Ali, Irfan and F{\"u}genschuh, Armin and Gupta, Srikant and Modibbo, Umar Muhammad}, title = {The LR-Type Fuzzy Multi-Objective Vendor Selection Problem in Supply Chain Management}, series = {Mathematics}, volume = {8}, journal = {Mathematics}, number = {9}, issn = {2227-7390}, doi = {10.3390/math8091621}, pages = {25}, language = {en} } @misc{SinghamCaiFuegenschuh, author = {Singham, Dashi I. and Cai, Wenbo and F{\"u}genschuh, Armin}, title = {Flexible contracting with heterogeneous agents and stochastic demand}, series = {International Journal of Production Economics}, volume = {231}, journal = {International Journal of Production Economics}, issn = {0925-5273}, doi = {10.1016/j.ijpe.2020.107840}, pages = {16}, language = {en} } @misc{AuerDosaDulaietal., author = {Auer, Peter and D{\´o}sa, Gy{\"o}rgy and Dulai, Tibor and F{\"u}genschuh, Armin and N{\"a}ser, Peggy and Ortner, Ronald and Werner-Stark, {\´A}gnes}, title = {A new heuristic and an exact approach for a production planning problem}, series = {Central European Journal of Operations Research}, journal = {Central European Journal of Operations Research}, issn = {1613-9178}, doi = {10.1007/s10100-020-00689-3}, pages = {35}, language = {en} } @misc{ZazaiFuegenschuh, author = {Zazai, M. Fawad and F{\"u}genschuh, Armin}, title = {Computing the trajectories for the development of optimal routes}, series = {Optimization and Engineering}, volume = {Vol. 22 (2021)}, journal = {Optimization and Engineering}, number = {2}, issn = {1573-2924}, doi = {10.1007/s11081-020-09569-w}, pages = {975 -- 999}, language = {en} } @misc{MorenoOmidiWurlitzeretal., author = {Moreno, Liana Amaya and Omidi, Maryam and Wurlitzer, Marcus and Luthringer, B{\´e}reng{\`e}re and Helmholz, Heike and Schl{\"u}ter, Hartmut and Willumeit-R{\"o}mer, Regine and F{\"u}genschuh, Armin}, title = {Understanding Protein Networks Using Vester's Sensitivity Model}, series = {IEEE/ACM Transactions on Computational Biology and Bioinformatics}, volume = {17}, journal = {IEEE/ACM Transactions on Computational Biology and Bioinformatics}, number = {4}, issn = {1545-5963}, doi = {10.1109/TCBB.2018.2885757}, pages = {1440 -- 1450}, language = {en} } @misc{GnegelFuegenschuhHageletal., author = {Gnegel, Fabian and F{\"u}genschuh, Armin and Hagel, Michael and Leyffer, Sven and Stiemer, Marcus}, title = {A Solution Framework for Linear PDE-Constrained Mixed-Integer Problems}, series = {Mathematical Programming}, volume = {188}, journal = {Mathematical Programming}, number = {2}, issn = {0025-5610}, doi = {10.1007/s10107-021-01626-1}, pages = {695 -- 728}, language = {en} } @misc{FuegenschuhMuellenstedtSchmdit, author = {F{\"u}genschuh, Armin and M{\"u}llenstedt, Daniel and Schmdit, Johannes}, title = {Flight Planning for Unmanned Aerial Vehicles}, series = {Military Operations Research}, volume = {26}, journal = {Military Operations Research}, number = {3}, issn = {1082-5983}, pages = {49 -- 71}, language = {en} } @misc{JohannsmannCraparoDiekenetal., author = {Johannsmann, Leonie M. and Craparo, Emily M. and Dieken, Thor L. and F{\"u}genschuh, Armin and Seitner, Bj{\"o}rn O.}, title = {Stochastic mixed-integer programming for a spare parts inventory management problem}, series = {Computers \& Operations Research}, volume = {138}, journal = {Computers \& Operations Research}, issn = {1873-765X}, doi = {10.1016/j.cor.2021.105568}, pages = {1 -- 10}, language = {en} } @misc{DeeFuegenschuhKaimakamis, author = {Dee, Robin and F{\"u}genschuh, Armin and Kaimakamis, George}, title = {The Unit Re-balancing Problem}, series = {Proceedings of the 6th IMA Conference on Mathematics in Defence and Security, Tuesday March 30, 2021 - Wednesday March 31, 2021}, journal = {Proceedings of the 6th IMA Conference on Mathematics in Defence and Security, Tuesday March 30, 2021 - Wednesday March 31, 2021}, pages = {1 -- 10}, language = {en} } @phdthesis{Zazai, author = {Zazai, M. Fawad}, title = {Berechnung der Trajektorien f{\"u}r die Entwicklung von optimalen Routen}, address = {Cottbus}, doi = {10.26127/BTUOpen-5228}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-52286}, pages = {164}, language = {de} } @book{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {A two-time-level model for mission and flight planning of an inhomogeneous fleet of unmanned aerial vehicles}, address = {Cottbus}, doi = {10.26127/BTUOpen-5461}, pages = {40}, language = {en} } @book{GnegelSchaudtClausenetal., author = {Gnegel, Fabian and Schaudt, Stefan and Clausen, Uwe and F{\"u}genschuh, Armin}, title = {A 2D layered graph approach for scheduling delivery robots}, address = {Cottbus}, doi = {10.26127/BTUOpen-5493}, pages = {32}, language = {en} } @book{GnegelFuegenschuhHageletal., author = {Gnegel, Fabian and F{\"u}genschuh, Armin and Hagel, Michael and Leyffer, Sven and Stiemer, Marcus}, title = {A solution framework for linear PDE-constrained mixed-integer problems}, address = {Cottbus}, doi = {10.26127/BTUOpen-5045}, pages = {32}, language = {en} } @book{GnegelFuegenschuh, author = {Gnegel, Fabian and F{\"u}genschuh, Armin}, title = {Branch-and-refine for solving time-dependent problems}, address = {Cottbus}, doi = {10.26127/BTUOpen-5199}, pages = {36}, language = {en} } @book{BaehrBuhlRadowetal., author = {B{\"a}hr, Martin and Buhl, Johannes and Radow, Georg and Schmidt, Johannes and Bambach, Markus and Breuß, Michael and F{\"u}genschuh, Armin}, title = {Stable honeycomb structures and temperature based trajectory optimization for wire-arc additive manufacturing}, address = {Cottbus}, doi = {10.26127/btuopen-5079}, pages = {49}, language = {en} } @book{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {Planning inspection flights with an inhomogeneous fleet of micro aerial vehicles}, address = {Cottbus}, doi = {10.26127/BTUOpen-5656}, pages = {16}, language = {en} } @techreport{Flister, author = {Flister, Tobias}, title = {Eine Heuristik zur L{\"o}sung ganzzahliger Programme mit quadratischen Nebenbedingungen}, editor = {F{\"u}genschuh, Armin}, address = {Cottbus}, issn = {2627-6100}, doi = {10.26127/BTUOpen-5617}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-56175}, pages = {iii, 54}, language = {de} } @techreport{Meier, author = {Meier, Yvonne}, title = {Ein gemischt-ganzzahliger Ansatz zur gleichm{\"a}ßigen Verkehrsauslastung eines Ballungsraums mittels Verschiebung der Schulanfangszeiten}, editor = {F{\"u}genschuh, Armin}, address = {Cottbus}, issn = {2627-6100}, doi = {10.26127/BTUOpen-4802}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-48023}, pages = {59}, language = {de} } @book{SchmidtBuhlFuegenschuh, author = {Schmidt, Johannes and Buhl, Johannes and F{\"u}genschuh, Armin}, title = {A finite element approach for trajectory optimization in Wire-Arc Additive Manufacturing}, address = {Cottbus}, doi = {10.26127/BTUOpen-5575}, pages = {12}, language = {en} } @book{OclooFuegenschuhMenoukeuPamen, author = {Ocloo, Valentina E. and F{\"u}genschuh, Armin and Menoukeu Pamen, Olivier}, title = {A new mathematical model for a 3D container packing problem}, address = {Cottbus}, doi = {10.26127/BTUOpen-5088}, pages = {28}, language = {en} } @book{JohannsmannCraparoDiekenetal., author = {Johannsmann, Leonie M. and Craparo, Emily M. and Dieken, Thor L. and F{\"u}genschuh, Armin and Seitner, Bj{\"o}rn O.}, title = {Stochastic mixed-integer programming for a spare parts inventory management problem}, address = {Cottbus}, doi = {10.26127/BTUOpen-5080}, pages = {24}, language = {en} } @techreport{ZazaiFuegenschuh, author = {Zazai, M. Fawad and F{\"u}genschuh, Armin}, title = {Computing the trajectories for the development of optimal routes}, address = {Cottbus}, doi = {10.26127/BTUOpen-5065}, pages = {19}, language = {en} } @book{DeeFuegenschuhKaimakamis, author = {Dee, Robin and F{\"u}genschuh, Armin and Kaimakamis, George}, title = {The unit re-balancing problem}, address = {Cottbus}, doi = {10.26127/BTUOpen-5658}, pages = {28}, language = {en} } @misc{GhoshRoyFuegenschuh, author = {Ghosh, Syamali and Roy, Sankar Kumar and F{\"u}genschuh, Armin}, title = {The Multi-Objective Solid Transportation Problem with Preservation Technology Using Pythagorean Fuzzy Sets}, series = {International Journal of Fuzzy Systems}, volume = {24}, journal = {International Journal of Fuzzy Systems}, number = {6}, issn = {2199-3211}, doi = {10.1007/s40815-021-01224-5}, pages = {2687 -- 2704}, language = {en} } @misc{StieberFuegenschuh, author = {Stieber, Anke and F{\"u}genschuh, Armin}, title = {Dealing with Time in the Multiple Traveling Salesmen Problem with Moving Targets}, series = {Central European Journal of Operations Research}, volume = {30}, journal = {Central European Journal of Operations Research}, number = {3}, issn = {1613-9178}, doi = {10.1007/s10100-020-00712-7}, pages = {991 -- 1017}, abstract = {The multiple traveling salespersons problem with moving targets is a generalization of the classical traveling salespersons problem, where the targets (nodes or objects) are moving over time. Additionally, for each target a visibility time window is given. The task is to find routes for several salespersons so that each target is reached exactly once within its visibility time window and the sum of all traveled distances of all salespersons is minimal. We present different modeling formulations for this TSP variant. The time requirements are modeled differently in each approach. Our goal is to examine what formulation is most suitable in terms of runtime to solve the multiple traveling salespersons problem with moving targets with exact methods. Computational experiments are carried out on randomly generated test instances to compare the different modeling approaches. The results for large-scale instances show, that the best way to model time requirements is to directly insert them into a formulation with discrete time steps.}, language = {en} } @misc{DeeFuegenschuhKaimakamis, author = {Dee, Robin and F{\"u}genschuh, Armin and Kaimakamis, George}, title = {The Unit Re-Balancing Problem}, series = {Mathematics}, volume = {9}, journal = {Mathematics}, number = {24}, issn = {2227-7390}, doi = {10.3390/math9243205}, language = {en} } @incollection{FuegenschuhMarahrensJohannsmannetal., author = {F{\"u}genschuh, Armin and Marahrens, S{\"o}nke and Johannsmann, Leonie M. and Matuszewski, Sandra and M{\"u}llenstedt, Daniel and Schmidt, Johannes}, title = {Using Computer-Generated Virtual Realities, Operations Research, and Board Games for Conflict Simulations}, series = {Simulation and Wargaming}, booktitle = {Simulation and Wargaming}, editor = {Turnitsa, Charles and Blais, Curtis Blais and Tolk, Andreas}, publisher = {John Wiley \& Sons, Inc.}, address = {Hoboken, NJ}, isbn = {978-1-119-60478-5}, doi = {10.1002/9781119604815}, pages = {273 -- 287}, language = {en} } @techreport{BeisegelBuhlIzaretal., author = {Beisegel, Jesse and Buhl, Johannes and Izar, Rameez and Schmidt, Johannes and Bambach, Markus and F{\"u}genschuh, Armin}, title = {Mixed-integer programming for additive manufacturing}, editor = {F{\"u}genschuh, Armin}, address = {Cottbus}, doi = {10.26127/BTUOpen-5731}, pages = {28}, language = {en} } @misc{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {Trajectory optimization for arbitrary layered geometries in wire-arc additive manufacturing}, series = {Optimization and Engineering}, volume = {25}, journal = {Optimization and Engineering}, issn = {1573-2924}, doi = {10.1007/s11081-023-09813-z}, pages = {529 -- 553}, language = {en} } @misc{GnegelFuegenschuh, author = {Gnegel, Fabian and F{\"u}genschuh, Armin}, title = {Branch-and-refine for solving time-expanded MILP formulations}, series = {Computers \& Operations Research}, volume = {Vol. 149}, journal = {Computers \& Operations Research}, issn = {1873-765X}, doi = {10.1016/j.cor.2022.106043}, pages = {1 -- 15}, language = {en} } @misc{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {A two-time-level model for mission and flight planning of an inhomogeneous fleet of unmanned aerial vehicles}, series = {Computational Optimization and Applications}, volume = {85}, journal = {Computational Optimization and Applications}, number = {1}, issn = {1573-2894}, doi = {10.1007/s10589-023-00450-x}, pages = {293 -- 335}, language = {en} } @misc{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {Temperature-Based Trajectory Planning for Surfaces in Wire- Arc Additive Manufacturing}, series = {Operations Research Proceedings 2022 : Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Karlsruhe, Germany, September 6-9, 2022}, journal = {Operations Research Proceedings 2022 : Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Karlsruhe, Germany, September 6-9, 2022}, editor = {Grothe, Oliver and Nickel, Stefan and Rebennack, Steffen and Stein, Oliver}, publisher = {Springer}, address = {Heidelberg}, isbn = {978-3-031-24906-8}, pages = {539 -- 545}, language = {en} } @incollection{BeisegelBuhlIsraretal., author = {Beisegel, Jesse and Buhl, Johannes and Israr, Rameez and Schmidt, Johannes and Bambach, Martin and F{\"u}genschuh, Armin}, title = {Mixed-Integer Programming Models for Two Metal Additive Manufacturing Methods}, series = {Mathematical Methods for Objects Reconstruction}, booktitle = {Mathematical Methods for Objects Reconstruction}, editor = {Cristiani, Emiliano and Falcone, Maurizio and Tozza, Silvia}, publisher = {Springer}, address = {Heidelberg}, isbn = {978-981-9907-75-5}, pages = {121 -- 155}, language = {en} } @techreport{SchmidtFuegenschuh, author = {Schmidt, Johannes and F{\"u}genschuh, Armin}, title = {Trajectory optimization for arbitrary layered geometries in wire-arc additive manufacturing}, address = {Cottbus ; Senftenberg}, doi = {10.26127/BTUOpen-6267}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-62678}, pages = {21}, language = {en} } @misc{GnegelSchaudtClausenetal., author = {Gnegel, Fabian and Schaudt, Stefan and Clausen, Uwe and F{\"u}genschuh, Armin}, title = {A graph-refinement algorithm to minimize squared delivery delays using parcel robots}, series = {Mathematics}, volume = {12}, journal = {Mathematics}, number = {20}, publisher = {MDPI AG}, issn = {2227-7390}, doi = {10.3390/math12203201}, pages = {27}, language = {en} } @misc{AliSarkarAlietal., author = {Ali, Irfan and Sarkar, Biswajit and Ali, Syed Mithun and F{\"u}genschuh, Armin}, title = {Editorial: Environmental waste and renewable energy optimization for the sustainable development goals achievement}, series = {Frontiers in Environmental Science}, volume = {11}, journal = {Frontiers in Environmental Science}, issn = {2296-665X}, doi = {10.3389/fenvs.2023.1167835}, language = {en} } @misc{FuegenschuhLorenzPelz, author = {F{\"u}genschuh, Armin and Lorenz, Ulf and Pelz, Peter F.}, title = {OPTE special issue on technical operations research (TOR)}, series = {Optimization and Engineering}, volume = {22}, journal = {Optimization and Engineering}, number = {2}, issn = {1389-4420}, doi = {10.1007/s11081-021-09640-0}, pages = {581 -- 586}, language = {en} } @misc{RahmanShaikhAlietal., author = {Rahman, Md Sadikur and Shaikh, Ali Akbar and Ali, Irfan and Bhunia, Asoke Kumar and F{\"u}genschuh, Armin}, title = {A Theoretical Framework for Optimality Conditions of Nonlinear Type-2 Interval-Valued Unconstrained and Constrained Optimization Problems Using Type-2 Interval Order Relations}, series = {Mathematics}, volume = {9}, journal = {Mathematics}, number = {8}, issn = {2227-7390}, doi = {10.3390/math9080908}, language = {en} } @misc{MaierKuhnBeisegeletal., author = {Maier, Isidor Konrad and Kuhn, Johannes and Beisegel, Jesse and Huber-Liebl, Markus and Wolff, Matthias}, title = {Minimalist Grammar: Construction without Overgeneration}, series = {arXiv}, journal = {arXiv}, doi = {10.48550/arXiv.2311.01820}, pages = {51}, abstract = {In this paper we give instructions on how to write a minimalist grammar (MG). In order to present the instructions as an algorithm, we use a variant of context free grammars (CFG) as an input format. We can exclude overgeneration, if the CFG has no recursion, i.e. no non-terminal can (indirectly) derive to a right-hand side containing itself. The constructed MGs utilize licensors/-ees as a special way of exception handling. A CFG format for a derivation A_eats_B↦∗peter_eats_apples, where A and B generate noun phrases, normally leads to overgeneration, e.\,g., i_eats_apples. In order to avoid overgeneration, a CFG would need many non-terminal symbols and rules, that mainly produce the same word, just to handle exceptions. In our MGs however, we can summarize CFG rules that produce the same word in one item and handle exceptions by a proper distribution of licensees/-ors. The difficulty with this technique is that in most generations the majority of licensees/-ors is not needed, but still has to be triggered somehow. We solve this problem with ϵ-items called \emph{adapters}.}, language = {en} } @phdthesis{Schmidt, author = {Schmidt, Johannes}, title = {The mission and flight planning problem : a physics-based MILP routing approach for an inhomogeneous fleet of unmanned aerial vehicles with collision-free trajectories.}, publisher = {BTU Cottbus-Senftenberg}, doi = {10.26127/BTUOpen-6841}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-68415}, pages = {138}, language = {en} } @techreport{Roman, author = {Roman, Anschel Julio}, title = {K{\"u}nstliche Neurale Netze in biomedizinischen Anwendungen}, doi = {10.26127/BTUOpen-5630}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus4-56309}, pages = {74}, language = {de} }