@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} } @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} } @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} }