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Dieter Armbruster

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School of Mathematical and Statistical Sciences
Emeritus Professor
Faculty,
Center for Social Dynamics and Complexity (CSDC)
Faculty,
Biosocial Complexity Initiative
Faculty,
School of Mathematical and Statistical Sciences Emeriti
Emeritus Professor
Faculty,
Biography: 

Dieter Armbruster is interested in mathematical modeling: Collective behavior of swarms, modeling disaster recovery, modeling and optimization of production flow in semiconductor factories, derivation and analysis of the evolution of ant colonies and other social insects and modeling of molecular signaling pathways have been recent topics. A common feature among all these models is the occurrence of emergent phenomena: the system consisting of many individual parts behaves in novel ways that are not present at the individual level. Understanding the dynamics of emergent phenomena is important to understand the evolution of biological and social behavior, controlling them allows us to optimize factory production, traffic flows and emergency evacuations.  

The mathematical tools used include dynamical systems; methods of complexity science including dynamics on networks, game theory, decision theory and agent based simulations; and kinetic theory and partial differential equations.

Education: 
  • Abitur. Zeppelin Gymnasium, Stuttgart, West Germany 1973
  • Diplom. Physics, University of T¨ubingen, West Germany 1980
  • Ph. D. Physics (summa cum laude) 1984
  • Habilitation. Mathematical Physics 1990
Publications: 

  • Kirk Kayser, Dieter Armbruster, Michael Herty, Kinetic models of conservative economies with need-based transfers as welfare, Kinetic and related models, 13 (1), (2020)

  • Kirk Kayser and Dieter Armbruster, Social Optima of Need-Based Transfers, Physica A: Statistical Mechanics and its Applications: 121011, (2019)

  • Cockx, R.; Armbruster, D; Bendul, J., Resource Sharing as Supply Chain Disruption Risk Management Measure. In: Proceedings of the 9th IFAC Conference on Manufacturing Modelling, Management and Control, Berlin, Germany, August 28-30, (2019)

  • Brady Gilg and Dieter Armbruster, A graphical approach to estimate the critical coupling strength for Kuramoto networks, Chaos: An Interdisciplinary Journal of Nonlinear Science, 2 ̄9, (5), p: 053122, (2019)

  • Dieter Armbruster, Simone G ̈ottlich, Stephan Knapp, Continuous ap- proximation of (Mt,Mt,1) distributions with application to production, Journal of Computational Dynamics 72, 243 - 269, 2020.

  • Henning Blunck, Dieter Armbruster, Julia Bendul, Marc-Thorsten Hu ̈tt, The balance of autonomous and centralized control in schedul- ing problems, Applied Network Science (2018) 3:16 https://doi.org/10.1007/s41109-018-0071-6 in Applied Network Science, 6/2018

  • K. Kayser, D. Armbruster and C. Ringhofer, Kinetic Models of Need- based Transfers, In: D. M. Kilgour et al. (eds.), Recent Advances in Mathematical and Statistical Methods, Springer Proceedings in Math- ematics & Statistics 259, doi.org/10.1007/978-3-319-99719-3_47 (2018)

  • H. Blunck, D. Armbruster and J. Bendul, Setting production capacities for production agents making selfish routing decisions, International Journal of Computer Integrated Manufacturing, 31 (7), pp 664-674, (2018), https://doi.org/10.1080/0951192X.2017.1379097

  • Dieter Armbruster, Matt Wienke, Kinetic models and intrinsic timescales: Simulation comparison for a 2nd order queueing model, Kinetic and related models, 12 (1), pp. 177–193, (2018)

  • K. Kayser, D. Armbruster, and Christian Ringhofer. Kinetic Models of Need-Based Transfers. In: International Conference on Applied Mathematics, Modeling and Computational Science, pp. 521-530. Springer, Cham, 2017

  • Tu ̈lin Inkaya, Dieter Armbruster, Hongmin Li, Karl Kempf: Product Variety Strategies for Vertically Differentiated Products in Two Stage Production, International Journal of Production Research, Volume 56 (17) , ( 2018), https://doi.org/10.1080/00207543.2018.1461271

  • Moeed Haghnevis, Ronald G. Askin, Dieter Armbruster: An agent- based modeling optimization approach for understanding behavior of engineered complex adaptive systems, Socio-Economic Planning Sciences (2016)

  • Dieter Armbruster, Stephan Martin, Andrea Thatcher: Elastic and Inelastic Collisions of Swarms, Physica D, (2016) 
  • H. Blunck, D. Armbruster, J. Bendul: Simultaneous Workload Allocation and Capacity Dimensioning for Distributed Production Control, Procedia CIRP (2016) 
  • Dieter Armbruster, S ́ebastien Motsch, Andrea Thatcher: Swarming in Bounded Domains, Physica D, (2016) 
  • Yan Hao, Dieter Armbruster, and Marc-Thorsten Hu ̈tt: Node survival in networks under correlated attacks, PLoS ONE (2015) 
  • Dieter Armbruster, C. Ringhofer, and A. Thatcher: A kinetic model for an agent based market simulation, Networks and Heterogeneous Media, (2015) 
  • Daniel Huber, John Fowler and Dieter Armbruster. Simplification of DES models of M/M/1 tandem queues by approximating WIP- dependent inter-departure times. SIMULATION (2014).
  • Dieter Armbruster, John Nagy and Jon Young. Three level signal transduction cascades lead to reliably timed switches. Journal of Theoretical Biology (2014).
  • J.-Emeterio Navarro-Barrientos, Dieter Armbruster, Hongmin Li, Morgan Dempsey, Karl G. Kempf. Characterization and analysis of sales data for the semiconductor market: An expert system approach. Expert Systems with Applications (2014).
  • Young, Jon, Dieter Armbruster, and John Nagy. Time-dependent Michaelis–Menten equations for open-enzyme networks. Engineering of Chemical Complexity II (2014).
  • Moritz Emanuel Beber, Dieter Armbruster, and Marc-Thorsten Huett. The prescribed output pattern regulates the modular structure of flow networks. The European Physical Journal B (2013).
  • J.-Emeterio Navarro-Barrientos, Dieter Armbruster, Hongmin Li, Morgan Dempsey, Karl G. Kempf. Towards Automated Extraction of Expert System Rules from Sales Data for the Semiconductor Market. Advances in Computational Intelligence,  Lecture Notes in Artificial Intelligence LNAI 7630, Springer Verlag (2013).
  • Dieter Armbruster, Jasper Fonteijn, Matt Wienke. Modeling production planning and transient clearing functions. Logistics Research (2012).
  • Fewell JH, Armbruster D, Ingraham J, Petersen A, Waters JS (2012) PLoS ONE 7(11): e47445. doi:10.1371/journal.pone.0047445. Basketball Teams as Strategic Networks. PLoS ONE (2012).
  • John D. Nagy, Dieter Armbruster. Evolution of uncontrolled proliferation and the angiogenic switch in cancer. Mathematical Biosciences and Engineering (2012).
  • M.P.M. Hendriks, D. Armbruster, M. Laumanns, E. Lefeber, J.T. Udding:. Design of Robust Distribution Networks Run by Third Party Logistics Service Providers. Advances in Complex Systems (2012).
  • Dieter Armbruster, Karl Kempf (Eds),  Decision Policies for Production Networks, Springer Verlag (2012).
  • Dieter Armbruster. The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations. in: Decision Policies for Production Networks, Springer Verlag  (2012). 
  • Dieter Armbruster, Reha Uzsoy: Continuous Dynamic Models, Clearing Functions, and Discrete-Event Simulation in Aggregate Production Planning  in: New Directions in Informatics, Optimization, Logistics, and Production TutORials in Operations Research (2012).
  • D. Armbruster, S. Goettlich and M. Herty. A scalar conservation law with discontinuous flux for supply chains with finite buffers. SIAM J. Applied Math (2011).
  • D.A.J. van Zwieten, E. Rooda, D. Armbruster, J. Nagy. Simulating feedback and reversibility in substrate-enzyme reactions. European Physics Journal B (2011).
  • M.P.M. Hendriks, D. Armbruster, M. Laumanns, E. Lefeber, J.T. Udding:. Strategic allocation of cyclically calling vessels for multi-terminal container operators. Flexible Services and Manufacturing (2011).
  • Wen-Xu Wang, Ying-Cheng Lai, and Dieter Armbruster: Cascading failures and the emergence of cooperation in evolutionary-game based models of social and economical networks,. Chaos (2011).
  • Yun Kang, Dieter Armbruster,. Dispersal effects on a discrete two-patch model for plant-insect interactions,. Journal of Theoretical Biology (2011).
  • Yun Kang, Dieter Armbruster,. Noise and seasonal effects on the dynamics of plant-herbivore models with monotone plant growth functions. International Journal of Biomathematics, (2011).
  • Michael La Marca, Dieter Armbruster, Michael Herty and Christian Ringhofer. Control of continuum models of production systems. IEEE Transactions on Automatic Control (2010).
  • Armbruster, Dieter; Rooda, J. (Koos); van de Rijt, Emiel; Nagy, John. Dynamic simulations of single molecule enzyme networks. Journal of Physical Chemistry B, (2009).
  • Yun Kang, Dieter Armbruster, Yang Kuang. Dynamics of a plant-herbivore model. Journal of Biological Dynamics, (2008).
  • Dominique Perdaen, Dieter Armbruster, Karl Kemp, Erjen Lefeber. Controlling a re-entrant manufacturing line via the push-pull point. International Journal of Production Research (2007).
  • Dieter Armbruster, Esma Gel, Junko Murakami. Bucket brigades with worker learning. European Journal of Operational Research (2007).
  • Dieter Armbruster, P Degond, C Ringhofer. Kinetic and fluid models for supply chains supporting policy attibutes. Bulletin of the Inst. Math., Academica Sinica (2007).
  • Dieter Armbruster, C De Beer, M Freitag, T Jagalski, C Ringhofer. Autonomous Control of Production Networks using a Pheromone Approach. Physica A (2006).
  • Dieter Armbruster, Daniel Marthaler, Christian Ringhofer, Karl Kempf, Tae-Chang Jo. A continuum model for a re-entrant factory. Operations Research (2006).
  • Dieter Armbruster, Esma Gel. Bucket brigades revisited: Are they always effective?. European Journal of Operational Research (EJOR) (2006).
  • Dieter Armbruster, P Degond, C Ringhofer. A Model for the Dynamics of large Queuing Networks and Supply Chains. SIAM Journal of Applied Mathematics (2006).
  • Y Zou, I Kevrekidis, Dieter Armbruster. Multiscale analysis of re-entrant production lines: An equation-free approach. Physica A (2006).
  • Dirk Helbing, Dieter Armbruster, Alexander S. Mikhailov and Erjen Lefeber: Information and material flows in complex networks, short survey, Physica A (2006).
  • Dieter Armbruster, C Ringhofer. Thermalized kinetic and fluid models for reentrant supply chains. SIAM J. on Multiscale modeling and Simulation (2005).
  • Zhu Mingqiang, Dieter Armbruster, Ines Katzorke. Does synchronization of networks of chaotic maps lead to control?. Chaos (2005).
  • Mikhailov, Alexander, Armbruster, Dieter, Kaneko, Kunihiko (eds). Networks of Interacting Machines. (2005).
  • Armbruster, Dieter,Degond, P ,Ringhofer, C . Continuum models for interacting machines. Networks of Interacting Machines (2005).
  • Dieter  Armbruster, C Ringhofer, Tae-Chang Jo. Continuous models for production flows. Proceedings of the 2004 American Control Conference, Boston (2004).
  • Dieter  Armbruster, Daniel Marthaler, Christian Ringhofer. Kinetic and fluid model hierarchies for supply chains. SIAM Multiscale Model. Simul (2004).
  • Dieter Armbruster, Tae-Chang Jo: Pattern formation and parametric resonance, in: Dynamics and bifurcation of patterns in dissipative systems, World Scientific (2004)
  • Dieter Armbruster, Dynamical Systems and Production Systems, in: Nonlinear Dynamics of Production Systems, G. Radons and R. Neugebauer, eds, Wiley-VCH Berlin (2004).
  • Dieter  Armbruster, Bart Rem. Control and Synchronization in Switched Arrival Systems. Chaos (2003). 
  • Dieter  Armbruster, Emily Stone, Vivien Kirk. Noisy heteroclinic networks. Chaos (2003).
  • Dieter Armbruster, Tae-Chang Jo. Localized Solutions in Parametrically Driven Pattern Formation. Phys. Rev. E (2003).
  • Armbruster, Dieter, Chossat, Pascal. Dynamics of polar reversals in spherical dynamos. Proceedings of the Royal Society A (2003).
  • Dieter Armbruster, Marguerite George, Iuliana Oprea. Parametrically forced pattern formation. Chaos (2001).
  • Dieter Armbruster, Marguerite George, Iuliana Oprea, Daniel Marthaler. Perturbed on-off intermittency. Phys. Rev. E. 64 (2001).
  • Chossat, Pascal, Armbruster,  Dieter, Oprea, Iuliana (eds). Dynamo and Dynamics, a mathematical challenge. Kluwer (2001).
  • Armbruster, Dieter, Chossat, Pascal, Oprea, Iuliana. Structurally stable heteroclinic cycles and the dynamo dynamics. in: Dynamo and Dynamics, a mathematical challenge. Kluwer (2001).
  • Dieter Armbruster, Ying-Cheng Lai, Eric Kostelich. Intermittency in chaotic rotations. Phys. Rev. E (2000).
Research Activity: 
Summer 2022
Course NumberCourse Title
MAT 493Honors Thesis
STP 784Internship
MAT 784Internship
APM 792Research
APM 795Continuing Registration
MAT 795Continuing Registration
APM 799Dissertation
Spring 2022
Course NumberCourse Title
MAT 493Honors Thesis
MAT 499Individualized Instruction
MAT 599Thesis
APM 792Research
MAT 795Continuing Registration
APM 795Continuing Registration
MAT 799Dissertation
APM 799Dissertation
Fall 2021
Course NumberCourse Title
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 592Research
ACT 593Applied Project
STP 593Applied Project
MAT 784Internship
APM 792Research
APM 795Continuing Registration
APM 799Dissertation
MAT 799Dissertation
Summer 2021
Course NumberCourse Title
MAT 493Honors Thesis
STP 784Internship
MAT 784Internship
APM 792Research
APM 795Continuing Registration
MAT 795Continuing Registration
APM 799Dissertation
Spring 2021
Course NumberCourse Title
MAT 493Honors Thesis
MAT 499Individualized Instruction
MAT 599Thesis
APM 792Research
MAT 795Continuing Registration
APM 795Continuing Registration
MAT 799Dissertation
APM 799Dissertation
Fall 2020
Course NumberCourse Title
MAT 475Differential Equations
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 592Research
STP 593Applied Project
ACT 593Applied Project
MAT 599Thesis
MAT 784Internship
APM 792Research
APM 795Continuing Registration
STP 799Dissertation
MAT 799Dissertation
APM 799Dissertation
Summer 2020
Course NumberCourse Title
MAT 493Honors Thesis
STP 784Internship
APM 792Research
APM 795Continuing Registration
APM 799Dissertation
Spring 2020
Course NumberCourse Title
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 499Individualized Instruction
MAT 599Thesis
APM 792Research
MAT 795Continuing Registration
APM 795Continuing Registration
MAT 799Dissertation
APM 799Dissertation
Fall 2019
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 492Honors Directed Study
MAT 592Research
STP 593Applied Project
ACT 593Applied Project
MAT 599Thesis
MAT 784Internship
APM 792Research
APM 795Continuing Registration
APM 799Dissertation
MAT 799Dissertation
Summer 2019
Course NumberCourse Title
MAT 595Continuing Registration
APM 792Research
APM 795Continuing Registration
APM 799Dissertation
Spring 2019
Course NumberCourse Title
CSE 493Honors Thesis
MAT 493Honors Thesis
MAT 499Individualized Instruction
APM 560Applied Dynamical Systems
MAT 592Research
MAT 599Thesis
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Fall 2018
Course NumberCourse Title
MAT 452Intro Chaos/Nonlinear Dynamics
MAT 492Honors Directed Study
MAT 592Research
MAT 598Special Topics
MAT 599Thesis
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Summer 2018
Course NumberCourse Title
APM 792Research
Spring 2018
Course NumberCourse Title
MAT 451Mathematical Modeling
MAT 493Honors Thesis
MAT 599Thesis
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Fall 2017
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 492Honors Directed Study
MAT 599Thesis
MAT 792Research
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Presentations: 
  • Swarms in Bounded Domains, Seminar of Mathematical Modeling and Scientific Computing, Department of Mathematics, University of Mannheim, Germany, 2016,
  • The economics of need based transfers, Seminar of Mathematical Modeling and Scientific Computing, Department of Mathematics, University of Mannheim, Germany, 2016, 
  • Swarms in bounded domains, Colloquium, Department of Mathematics, Jiao-Tong University Shanghai, PRC, 2016, 
  • The economics of need based transfers, Seminar, Kaneko Lab, University of Tokyo, Japan, 2016,
  • Die ̈okonomischen Konsequenzen gegenseitiger Hilfeleistung, Public Lecture, Summer School of the Studienstiftung des Deutschen Volkes, La Colle Sur Loup, 2016, 
  • The economics of need based transfers, Seminar at the Potsdam Institute for Climate Impact Research, Potsdam, Germany, 2016,
  • Swarms in bounded domains, Colloquium, Department of Mathematics, University of Montana, /2016, 
  • Spatial and temporal heterogeneity and NBTs, Workshop on Risk, Disasters and Need-based Transfers Workshop at ASU, 2016 
  • Dieter Armbruster. Node survival in networks under correlated attacks. Symposium Extreme Events: Modeling, Analysis, and Prediction, Hannover, Germany (Oct 2014).
  • Dieter Armbruster. Node survival in networks under correlated attacks. Special session on Social Insects as Complex Systems BEER-2014, Claermont (Oct 2014).
  • Dieter Armbruster. Market modeling: Agent based simulations and their kinetic description. Workshop on Modeling and Control in Social Dynamics, Rutgers U. Camden (Oct 2014).
  • Dieter Armbruster. Swarms in bounded domains. Special session on Kinetic models for multi-agent systems modeling socio-economic behavior AIMS Madrid (Jul 2014).
  • Dieter Armbruster. An applied mathematician and a decision scientist walk into a semiconductor factory. 34th National Conference for Operations Research and Industrial Engineering, Bursa, Turkey, (Jun 2014).
  • Dieter Armbruster. Swarms in bounded domains. Conference on Kinetics, non standard diffusion and stochastics: emerging challenges in the sciences, Austin TX, (May 2014).
  • Dieter Armbruster. Node survival in networks under correlated attacks. Seminar, Potsdam Institute for Climate Impact Research (Feb 2014).
  • Dieter Armbruster. Fundamentals of Complex Systems. Guest lecture for the Course on Complexity at the Center for Social Complexity and Dynamics (Sep 2013).
  • Dieter Armbruster. Characterizing and Forecasting the Market Influence of the Original Equipment Manufacturers. Oberseminar Applied Mathematics, RWTH, Aachen, June 27 (Jun 2013).
  • Dieter Armbruster. The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations. Seminar, University of Mannheim School of Business Informatics and Mathematics (Jun 2013).
  • Jon Young, Dieter Armbruster, John Nagy. Why do signaling cascades have multiple stages?. Society for Mathematical Biology, Annual Meeting, Phoenix (Jun 2013).
  • Dieter Armbruster. Three level signal transduction cascades lead to reliable switches. 7th International Conference on Engineering of Chemical Complexity, Warnemuende, Germany (Jun 2013).
  • Dieter Armbruster. Networks. 7th International Conference on Engineering of Chemical Complexity, Warnemuende, Germany (Jun 2013).
  • Dieter Armbruster. Netball - The network structure of NBA basketball. Colloquium, Applied Mathematics, University of Waterloo (Apr 2013).
  • Dieter Armbruster. Characterizing and Forecasting the Market Influence of the Original Equipment Manufacturers. Informs Analytics Conference (Apr 2013).
  • Moeed Haghnevis, Ron Askin, Dieter Armbruster. Modeling of Behavioral-Based Demand Response. Systems & Optimization Aspects of Smart Grid Challenges 2013, Tucson, AZ, USA March 21~23, 2013 (Mar 2013).
  • Moeed Haghnevis, Ron Askin, Dieter Armbruster. An optimization and agent-based socio-technical modeling approach for engineered complex adaptive systems. Kinetic Theory for the Emergence of Complex Behavior in Social and Economic Systems, ASU (Feb 2013).
  • Dieter Armbruster. Competitive Product Differentiation in a Three Level Market. SIAM Conference on Computational Science & Engineering, Boston (Feb 2013).
  • Dieter Armbruster. An introduction to kinetic models in the emergence of complex behavior in social and economic systems. Winter School, Austin (Feb 2013).
  • Dieter Armbruster. Three lecturers for the winter school An introduction to kinetic models in the emergence of complex behavior in social and economic systems. Winter School, Austin (Feb 2013).
  • Dieter Armbruster. Kinetic theory for the emergence of complex behavior in social and economic systems. Conference, ASU (Feb 2013).
  • Ying-Cheng Lai, Dieter Armbruster. Reverse Engineering of Nonlinear Dynamical Systems and Complex Networks Based on Compressive Sensing. Building Engineered Complex Systems, PI Workshop, NSF (Jan 2013).
  • Dieter Armbruster. A continuum description for a DES control problem,. CDC 12 - Conference on Decision and Control (Dec 2012).
  • Dieter Armbruster. Netball - The network structure of NBA basketball. Colloquium, ASU Poly (Nov 2012).
  • Moeed Haghnevis, Ron Askin, Dieter Armbruster. An Agent-based Dynamic Laboratory for Electricity Consumption Complex System. INFORMS Annual meeting (Oct 2012).
  • Tulin Inkaya, Dieter Armbruster, Karl Kempf, Hongmin Li, Morgan Dempsey. Variety Competition for Vertically Differentiated Products. INFORMS Annual meeting (Oct 2012).
  • Dieter Armbruster. Transport Equation Models for Transient Production Flows. INFORMS annual meeting (Oct 2012).
  • Dieter Armbruster. Transport Equation Models for Transient Production Flows. Seminar, Business School U. of Innsbruck Austria (Oct 2012).
  • Dieter Armbruster. Netball - The network structure of NBA basketball. ‘Complex Network Analysis: From Graph Theory to Systems Biology’ , Hall, Austria (Oct 2012).
  • Dieter Armbruster, Reha Uzsoy. Continuous Dynamic Models, Clearing Functions, and Discrete-Event Simulation in Aggregate Production Planning. INFORMS Annual meeting 2012 (Oct 2012).
  • Dieter Armbruster. Modeling production planning and transient clearing functions. Robust Manufacturing Control (RoMaC), Bremen 2012 (Jun 2012).
  • Hongmin Li, Dieter Armbruster, Karl Kempf. A Population-Growth Model for Multiple Generations of Technology Products. MSOMS conference New York 2002 (Jun 2012).
  • Athena Aktipis, Lee Cronk, Yan Hao, Dieter Armbruster, and Rolando de Aguiar. Generosity without reciprocity part 1: Computation models of need-based transfers and risk-pooling. Human Behavior and Evolution Society conference, 24th Annual (Jun 2012).
  • Dieter Armbruster. Agent based simulations for Chip sales to High-End Gamers. Seminar, Mathematics, UT Austin (Apr 2012).
  • Dieter Armbruster. Production Planning - Clearing Functions, Discrete-Event Simulation and Partial Differential Equations. Decision Systems Seminar, ASU (Apr 2012).
  • Tulin Inkaya, Dieter Armbruster, Karl Kempf, Hongmin Li and Morgan Dempsey. Variety competition for vertically differentiated products. POMS annual meeting (Apr 2012).
  • Dieter Armbruster. Agent based simulations for Chip sales to High-End Gamers. Conference "Kinetic Description of Social Dynamics: From Consensus to Flocking" (Apr 2012).
  • Dieter Armbruster. Netball - The network structure of NBA basketball. Colloquium, Applied Math, U.of Arizona (Feb 2012).
  • Dieter Armbruster. Netball: NBA basketball as a social network. CDC 11 - Conference on Decision and Control (Dec 2011).
  • John Nguyen, Dieter Armbruster. A Reset Policy for Bucket Brigades that Creates Chaos. INFORMS 2011 (Nov 2011).
  • Erika Murguia, Dieter Armbruster, Esma Gel. Dynamics of a Two-worker Bucket Brigade with Location Dependent Hand-off Costs. INFORMS 2011 (Nov 2011).
  • Dieter Armbruster. A scalar conservation law with discontinuous flux for supply chains with finite buffers. ICERM Workshop: Novel Applications of Kinetic Theory and Computations (Oct 2011).
  • Dieter Armbruster. The production planning problem: Clearing functions, variable leads times, delay equations and partial differential equations, Part I and Part II. Novel Applications of Kinetic Theory and Computations (October 17-21, 2011) Tutorial (Oct 2011).
  • Dieter Armbruster. Modeling queueing networks as dynamical systems. Workshop at the ZIF in Bielefeld, Title: Stochastic Dynamics in Mathematics, Physics and Engineering (Oct 2011).
  • Dieter Armbruster. Netball: NBA basketball as a social network. Guest lecture for the Course on Complexity at the Center for Social Complexity and Dynamics (Oct 2011).
  • Dieter Armbruster. Fundamentals of Complex Systems. Guest lecture for the Course on Complexity at the Center for Social Complexity and Dynamics (Sep 2011).
  • Erjen Lefeber, Dieter Armbruster, Yoni Nazarathy. Stability Analysis for Fluid Limit Models of Multiclass Queueing Networks. APS INFORMS 2011, Stockholm (Jul 2011).
  • Dieter Armbruster. PDE models for production systems 5/27/2011 Continuous Models for Networks of Interacting Machines, 6/10/2011 Controlling factory production via dispatch policies, 6/17/2011. Lectures to Graduate Students, TU Eindhoven, Systems Engineering (Jun 2011).
  • Dieter Armbruster. Some thoughts on biological and production networks. Managing the hive, Workshop at the Center for Social Dynamics and Complexity, ASU (May 2011).
  • Dieter Armbruster. Structural properties of third party logistic networks. CSUMS seminar (Oct 2010).
  • Erika Murguia Blumenkranz and Dieter Armbruster and Esma Gel. Bucket brigade handover protocols in the presence of discrete workstations. OR 20110 Munich (Sep 2010).
  • Dieter Armbruster. Structural Properties of third-party logistics networks. Workshop: Emergence and design of Robustness - Palma de Mallorca, Spain (Sep 2010).
  • Dieter Armbruster. Structural Properties of third-party logistics networks. Seminar of Y.C. Lai's research group in EE (Aug 2010).
  • Dieter Armbruster. Stochastic simulations for biological networks. Technical University Dresden, Germany (Jun 2010).
  • Dieter Armbruster. Some issues for aggregate models of production systems,. Workshop Stochastic models of manufacturing systems, Eindhoven, (Jun 2010).
  • Jasper Fonteijn, Dieter Armbruster. Transient Clearing Function. Workshop Stochastic models of manufacturing systems, Eindhoven, (Jun 2010).
  • Dieter Armbruster. Non-smooth bifurcations. research meeting Groningen, Netherlands (May 2010).
  • Dieter Armbruster. Networks of Interacting Machines: From Supply Chains to Metabolic Processes,. Jacobs University Bremen, Germany (May 2010).
  • D. Armbruster. Stochastic simulations for biological networks,. Applied Math Seminar at the University of Kaiserslautern, (May 2010).
  • Dieter Armbruster. Aggregate modelling of production lines. SERR seminar TU/Eindhoven (Apr 2010).
  • John Ingraham, Scott Petersen, Dieter Armbruster, Jennifer Fewell. Netball. Meeting of the Basketball Networks group at the University of Washington (Mar 2010).
  • Dieter Armbruster. Complexity and Industrial Engineering. IE Seminar ASU (Mar 2010).
  • Dieter Armbruster. Stochastic simulations of biological networks - or: What do biological and production networks have in common. Chalk talk Physics Department ASU (Feb 2010).
  • Dieter Armbruster. Dynamic Simulations of Single-Molecule Enzyme Networks. Dynamics of signal transduction and of gene-protein regulatory networks, MBI (Nov 2009).
  • Dirk van Zwieten, Dieter Armbruster, John Nagy. Discrete event modeling: Glycolysis and energy balance. Dynamics of signal transduction and of gene-protein regulatory networks, MBI (Nov 2009).
  • Jon Young, Dieter Armbruster, John Nagy. A Simplified Ras-Raf-Mek-Erk Pathway with a Single GFR. Dynamics of signal transduction and of gene-protein regulatory networks, MBI (Nov 2009).
  • Erika Murguia, Dieter Armbruster, Esma Gel. Dynamics of Bucket Brigades in Systems with Fixed Stations. INFORMS Annual meeting (Oct 2009).
  • Dieter Armbruster. Aggregate factory modeling. Department of Information Systems, Production and Logistics Management, University of Innsbruck Aust (Sep 2009).
  • Dieter Armbruster. Studying biological networks via factory simulations. Frontiers in Network Science, Symposium, Berlin (Sep 2009).
  • Dieter Armbruster. Hybrid Phase Space Dynamics - a Unifying View of Control Actions and Policies in Logistics and Production. 2nd International Conference on Dynamics in Logistics (LDIC 2009), Bremen (Aug 2009).
  • Dieter Armbruster. Networks of interacting machines - from supply chains to metabolic processes. Center for Computational Engineering Science (CCES) RWTH Aachen University, (Jun 2009).
  • Dieter Armbruster. "Simulation and control of semiconductor production lines". Flows and Networks in Complex Media, Workshop IPAM (Apr 2009).
  • Katie Harris, Dieter Armbruster. NA. SUNMARC 09 (Feb 2009).
  • Dieter Armbruster. What do biological and production networks have in common?. Networks of Interacting Machines, SAPPORO WINTER SCHOOL February 10-14, 2009 Sapporo, (Feb 2009).
  • Dieter Armbruster. Panel discussion. Networks of Interacting Machines, SAPPORO WINTER SCHOOL February 10-14, 2009 Sapporo, (Feb 2009).
  • Dieter Armbruster. Mulitscale Control of Transport Equations. Dynamical Systems Seminar, UoA Tucson (Nov 2008).
  • Dieter Armbruster. Production systems in Biology: Simulating molecular pathways. CSUMS seminar (Oct 2008).
  • Esma Gel, Dieter Armbruster and Erika Murguia. Dynamics of Bucket Brigades in Production Lines with Discrete Stations. INFORMS Annual meeting (Oct 2008).
  • Dieter Armbruster. Simulation and production planning based on a continuum model of a semiconductor factory. Planning Production and Inventories in the Extended Enterprise, NCSU, Industrial Engineering (Sep 2008).
  • Armbruster, Dieter. Simulation and Control of Semiconductor Production Lines. ECMI 2008 London (Jul 2008).
  • Dieter Armbruster. Dynamics of plant-herbivore models: Mulitstability, Bursting and Spatial Expansion. AIMS Conference (May 2008).
  • Dieter Armbruster, Michael Lamarca. Multiscale control of transport equations. 2008 AIMS International Conference (May 2008).
  • Armbruster, Dieter. Mathematical Models for Complex Systems: The issue of validation. Dynamical Discussion, Center for Social Dynamics and Complexity, ASU (Apr 2008).
  • Armbruster, Dieter. New and exciting research areas in Dynamical Systems, Control and Applied Mathematics. Talk at AFOSR (Mar 2008).
  • Armbruster, Dieter , Lefeber, Erjen. Kanban manufacturing control based on a synchronization mechanism of enzymes. Ladenburger Discourse (Feb 2008).
  • Armbruster, Dieter. Production systems in Biology: Simulating molecular pathways. Mathematical modeling of transport and production logistics University of Bremen (Jan 2008).
  • Armbruster, Hans. Continuum models for manifacturing lines and supply chains. Distinguished Speakers series (Oct 2006).
  • Armbruster, Hans. The similarity of industrial production and bio-chemical cycles. EPSRC Course on Mathematics in the Science of Complex Systems (Sep 2006).
  • Armbruster, Hans. Simulation and Control of Production Systems. IMA Conference on Mathematics in the Science of Complex Systems (Sep 2006).
  • Armbruster, Hans. Continuum models and their validation for semiconductor production. Seminar, BIBA Universitaet Bremen (Jun 2006).
  • Armbruster, Hans. Dynamics and Control of Production Systems. Applied Mathematics Colloquium Bristol University England (Mar 2006).
  • Armbruster, Hans. Simulation and Control of Production Systems. Mathematics Colloquium, University College London (Mar 2006).
  • Armbruster, Hans. Continuum models for interacting machines. International Workshop on Applied Dynamical Systems Mechanics,Turbulence,Knots,Cockroaches, & Chaos (Nov 2005).
  • Armbruster, Hans. Validating Continuum Models for Production Flows. SIAM Conference on Mathematics in Industry Detroit (Oct 2005).
  • Armbruster, Hans. Bucket Brigades---Self-Organizing Production Lines. Thematic Institute "Information and Material Flows in Complex Networks", Goldrain, 7/2005 (Jul 2005).
  • Armbruster, Hans. Thematic Institute on Information and material flows in complex networks. (Jun 2005).
  • Armbruster, Hans. Does Synchronization lead to control. Coupled 60, workshop in honor of M. Golubitsky, P. Holmes, J. Guckenheimer, M. Fields (Feb 2005).
  • Armbruster, Hans. Applied Math Seminar (Nov 2004).
  • Armbruster, Hans. From many particle physics to multi-agent systems. (Sep 2004).
  • Armbruster, Hans. Continuous models for production flows. Annual Americal Control Conference, Boston (Jul 2004).
  • Armbruster, Hans. 2004 American Control Conference (Jan 2004).
  • Armbruster, Hans. Arizona Days (Jan 2004).
  • Armbruster, Hans. Networks of Interacting Machines: Industrial Production Systems and Biological Cells. (Dec 2003).
  • Armbruster, Hans. INFORMS annual meeting (Nov 2003).
  • Armbruster, Hans. Workshop on Transport in Supply Chains, Traffic and Biology. (Jan 2003).
  • Armbruster, Hans. Intermountain/Southwest Conference on Industrial and Interdisciplinary Mathematics.
  • Armbruster, Hans. Intermountain/Southwest Conference on Industrial and Interdisciplinary Mathematics.
  • Armbruster, Hans. INFORMS.
  • Armbruster, Hans. SIAM Conference on Mathematics for Industry.
  • Armbruster, Hans. Complex production systems: from Biology to Semiconductor Fabs. Inaugural Lecture
  • Armbruster, Hans. Modeling Glycolysis as a stochastic factory. Ladenburger Discourse
  • Armbruster, Hans. Simulation models for mesoscale systems: Between discrete event simulations and continuum approximations. Multi-scaled Mathematics in Defence Research and its Spin-offs
  • Armbruster, Hans. Structural Properties of Robust Topologies for Cost-Effective Logistics Networks. VW research group meeting
  • Kang, Yun, Armbruster, Hans. A Producer Grazer Model: Dynamics and Spatial Structure. SIAM Snowbird meetings
  • Armbruster, Hans. Intermountain/Southwest Conference on Industrial and Interdisciplinary Mathematics.
  • Armbruster, Hans. Dynamo and dynamics, a mathematical challenge.
Editorships: 
  • International Journal for Nonlinear Science and Numerical Simulations, Associate Editor (2013 - Present)
Graduate Faculties / Mentoring History: 

R. Heiland (Masters Mathematics 1992),

Shen Wang (Ph.D. Electrical Engineering 1996),

Gil-Jun Han (Ph.D. Mathematics 1996),

Maya Mincheva (Masters Mathematics 1997),

Ivonne Diaz-Rivera (Ph.D. Mathematics 1997),

Mark Nelson (Masters Mathematics 1998),

Paul Mayfield (Masters Mathematics 2000),

Dan Marthaler (Masters, Mathematics 2000 and Ph.D. Mathematics  2002),

Tae-Chang Jo (Mathematics Ph.D. 2002),

Rama Chidambaram (Ph.D. Mathematics 2003),

Michael Lamarca (Ph.D Mathematics 2008),

Yun Kang (Ph.D. Mathematics 2008),

Dirk van Zwieten (Masters, Mechanical Engineering, TU Eindhoven, 2010),

Erika Murguia-Blumenkranz (Ph.D. Industrial Engineering 2010),

Moeed Haghnevis(Ph.D. Industrial Engineering 2013),

Kevin Coltin (Masters, Mathematics 2013),

Jon Young (Ph.D. Applied Mathematics 2013),

Alexander Elkholy (Masters, Mathematics 2014),

Andrea Thatcher (Ph.D Applied Mathematics 2015),

Matthew Wienke (Ph.D Applied Mathematics 2015). 

Service: 

 

 

  • KI-Net: Workshop at ASU, Workshop organizor (2012 - Present)
  • Applied Math Search Committee, member (2012 - Present)
  • Center for Social Dynamics and Complexity, ASU, Steering Committee member (2008 - Present)
  • SIAM Mathematics in Industry, Organizing Committee member (2006 - Present)
  • Journals, Reviewer (2005 - Present)
  • KI-Net: Workshop at ASU, Workshop organizor (2014 - 2015)
  • Search Committee, Professor of Practice in Statistics, Member (2014 - 2015)
  • Bylaw Committee, Chair (2014 - 2015)
  • TA training/professional math seminar, Speaker (2014 - 2014)
  • 48th Annual Hawaii International Conference on System Sciences, Co-organizer of a Minitrack (2014 - 2014)
  • Goldwater Scholarship, Recommendation (2014 - 2014)
  • Israel Science Foundation, Proposal reviewer (2014 - 2014)
  • National Alliance-Facilitated Applications Process, Mentor (2014 - 2014)
  • Springer Verlag, Book Reviewer (2014 - 2014)
  • Standing committee to evaluate OKED proposals, Member (2013 - 2014)
  • Desert Mountain Math Marathon, Guest Speaker (2014 - 2014)
  • Hobart and William Smith Colleges, Outside Honors Thesis evaluator (2014 - 2014)
  • National Science Foundation Italy, Proposal reviewer (2013 - 2013)
  • University of Montana, Missoula, Program review for the Department of Mathematics (2013 - 2013)
  • Applied Math Search Committee, member (2012 - 2013)
  • KI-Net: Winter School at UT Austin, Workshop Co-organizor (2012 - 2013)
  • KI-Net: Workshop at ASU, Workshop organizor (2012 - 2013)
  • National Science Foundation US, Proposal reviewer (2013 - 2013)
  • National Science Foundation Italy, Proposal reviewer (2012 - 2012)
  • 3rd International Conference on Dynamics in Logistics (LDIC 2012), Program Committee Member (2011 - 2012)
  • Center for Social Dynamics and Complexity, ASU, Co-Director (2012 - 2012)
  • International Conference on Robust Manufacturing Control (RoMaC), Program Committee Member (2011 - 2012)
  • Math Club ASU, talk on "NBA basketball as a social network" (2012 - 2012)
  • MGE@MSA/WAESO Student Research Conference Judging, evaluator (2012 - 2012)
  • Shota Rustaveli National Science Foundation of Georgia, Reviewer (2011 - 2011)
  • PFM, panel discussion (2011 - 2011)
  • Southern Methodist University, Review: Promotion to Full professor (2011 - 2011)
  • Swiss National Science Foundation, Reviewer - one proposal (2011 - 2011)
  • Managing the Hive, Co-organizer of this Workshop at the CSDC (2011 - 2011)
  • Math Club ASU, talk on "NBA basketball as a social network" (2011 - 2011)
  • Goldwater Scholarship, Recommendation (2011 - 2011)
  • Universitaet Kaiserslautern, Reviewer of Habilitation Thesis (2011 - 2011)
  • NAU, reviewer (2010 - 2010)
  • Dutch national science organization, reviewer (2010 - 2010)
  • PFM, panel discussion (2010 - 2010)
  • Swiss National Science Foundation, reviewer (2010 - 2010)
  • Steering Committee, Member (2007 - 2010)
  • EFP Lausanne, Switzerland, reviewer (2010 - 2010)
  • NSF, reviewer (2010 - 2010)
  • TU Wien, Austria, reviewer (2010 - 2010)
  • University of North Florida, Tenure reviewer (2009 - 2009)
  • Univeristaet Bremen, Habilitation reviewer (2009 - 2009)
  • 2nd IFAC Conference on Analysis and Control of Chaotic Systems, Program Committee member (2009 - 2009)
  • Applied Mathematics Ph.D Program, Director (2008 - 2009)
  • Graduate Committee, Member (2008 - 2009)
  • Center for Social Dynamics and Complexity, ASU, Steering Committee member (2008 - 2009)
  • Steering Committee, Member (2007 - 2009)
  • NSF, member of dynamical systems panel (2009 - 2009)
  • Interacting Machines - Winter School in Sapporo, Co-organizer (2009 - 2009)
  • Institute for Mathematics and its Applications (IMA), reviewer (2009 - 2009)
  • NSF, member of CAREER panel (2008 - 2008)
  • Department of Mathematics and Statistics, Chair (2005 - 2008)
  • NSF, member (2007 - 2007)
  • CLAS Senate, elected senator (2003 - 2006)
  • University Senate, elected senator (2003 - 2006)
  • Thematic Institute on Information and material flows in complex networks, Co-organizer (2005 - 2005)
  • SIAM Mathematics in Industry, Program Co-chair (2005 - 2005)
  • Chair search committee, member (2004 - 2005)
  • Graduate Mentoring Committee, Chair (2004 - 2005)
  • 3rd Annual Intermountain/Southwest Conference on Industrial and Interdisciplinary Mathematics, Organizer (2004)
  • Calculus Committee, member (2004)
  • Graduate Committee, member (2004)
  • Journals, reviewer (2004)
  • New faculty mentoring, mentor (2004)
  • PFF steering committee, member (2004)
  • Graduate Council, member (2002 - 2004)
  • ASU Responsive Ph.D. Initiative, Focus Group Leader (2002 - 2002)
  • Director for Graduate Studies, Associate Chair (2001 - 2002)
  • Personnel Committee, Member (2001 - 2002)
Expertise Areas: 
Applied Mathematics
Complex Systems
Mathematical Biology
Nonlinear Dynamical Systems