@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{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{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{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{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{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{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} } @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{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} }