dr. P (Peter) Kirst

I work on continuous and mixed-integer nonlinear optimization as well as corresponding applications, for example, in logistics. I am particularly interested in computing globally optimal points. Moreover, I like to work on challenging types of problems such as (generalized) semi-infinite programs or (generalized) Nash equilibrium problems. Those occur naturally in many applications such as engineering, inventory problems or logistics in general.

In addition, I also like to work in related areas such as data science and machine learning. Here, I am particularly interested in using these methods in optimization or, conversely, improving machine learning techniques by means of tailored optimization algorithms.

I graduated from Karlsruhe Institute of Technology (KIT) in Germany where I already started with many of these lines of research. In order to solve problems to global optimality I developed several branch-and-bound methods tailored to specific problems at hand. Still, the motivation always came from applications. Whereas in the past my application areas where more focussed on engineering aspects, here in Wageningen it has shifted towards logistics and inventory management.

Publications

C. Füllner, P. Kirst, H. Otto, S. Rebennack, Feasibility verification and upper bound determination in global minimization, accepted at Informs Journal on Computing, 2024

G.D.H. Claassen, P. Kirst, A. Thai Thi Van, J.C.M.A. Snels, X. Guo, P. van Beek, Integrating time-temperature dependent deterioration in the economic order quantity model for perishable products in multi-echelon supply chains, Omega, 125 (2024), 103041

R. Mohr, M. Coblenz und P. Kirst, Globally optimal univariate spline approximations, Computational Optimization and Applications, 85 (2023), 409-439

G. Eichfelder, P. Kirst, L. Meng, O. Stein, A general branch-and-bound framework for continuous global multiobjective optimization, Journal of Global Optimization, 80 (2021), 195-227

C. Füllner, P. Kirst und O. Stein, Convergent upper bounds in global minimization with nonlinear equality constraints, Mathematical Programming, 187 (2021), 617-651

P. Kirst und O. Stein, Global optimization of generalized semi-infinite programs using disjunctive programming, Journal of Global Optimization, 73 (2018), 1-25

P. Kirst, F. Rigterink und O. Stein, Global optimization of disjunctive programs, Journal of Global Optimization, 69 (2017), 283-307

P. Kirst und O. Stein, Solving disjunctive optimization problems by generalized semi-infinite optimization techniques, Journal of Optimization Theory and Applications, 169 (2016), 1079-1109

P. Kirst, O. Stein und P. Steuermann, Deterministic upper bounds for spatial branch-and-bound methods in global minimization with nonconvex constraints, TOP, 23 (2015), 591-616
 

Manuskripte und Preprints

P. Kirst, S. Schwarze und O. Stein, A branch-and-bound algorithm for non-convex Nash equilibrium problems, Optimization Online Preprint, https://optimization-online.org/?p=21330, 2023