Autonomous and Central Control of Production Networks

In this contribution we discuss central and autonomous control of production networks. We provide a number of parameters that influence the comparative effectiveness of these two methods. Further, the results concerning stability of the production networks are discussed and it is shown, how the central planning methods, implemented into mathematical models with the help of optimal control theory, can be used to achieve information about the possible form of controls. We investigate the limitations of both control methods and give possible ways, how to increase the effectiveness of control of production networks.

[1]  D. Armbrustera,et al.  Autonomous control of production networks using a pheromone approach , 2006 .

[2]  Bernd Scholz-Reiter,et al.  Autonomous Control of a Shop Floor Based on Bee's Foraging Behaviour , 2007, LDIC.

[3]  Hamid Reza Karimi,et al.  Application of the LISS Lyapunov-Krasovskii small-gain theorem to autonomously controlled production networks with time-delays , 2010, 2010 Conference on Control and Fault-Tolerant Systems (SysTol).

[4]  H. Wiendahl,et al.  Production in Networks , 2002 .

[5]  Bernd Scholz-Reiter,et al.  Autonomously controlled production systems—Influence of autonomous control level on logistic performance , 2009 .

[6]  Marc-Thorsten Hütt,et al.  Selbstorganisation : Ein Denksystem für Natur und Gesellschaft , 2006 .

[7]  Bernd Scholz-Reiter,et al.  Modelling and Analysis of Autonomously Controlled Production Networks , 2009 .

[8]  Sergey Dashkovskiy,et al.  Stability of networks of hybrid ISS systems , 2009, Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference.

[9]  S. Dashkovskiy,et al.  Stability of interconnected impulsive systems with and without time delays, using Lyapunov methods , 2010, 1011.2865.

[10]  Bernd Scholz-Reiter,et al.  Classification of Dynamical Patterns in Autonomously Controlled Logistic Simulations Using Echo State Networks , 2010 .

[11]  Fabian R. Wirth,et al.  An ISS small gain theorem for general networks , 2007, Math. Control. Signals Syst..

[12]  Sergey Dashkovskiy,et al.  Modeling and stability analysis of autonomously controlled production networks , 2011, Logist. Res..

[13]  Esther Alvarez,et al.  Multi-plant production scheduling in SMEs , 2007 .

[14]  Fabian R. Wirth,et al.  Small gain theorems for large scale systems and construction of ISS Lyapunov functions , 2009, 2012 IEEE 51st IEEE Conference on Decision and Control (CDC).

[15]  Bernd Scholz-Reiter,et al.  Modelling Dynamics of Autonomous Logistic Processes: Discrete-event versus Continuous Approaches , 2005 .

[16]  Sergey Dashkovskiy,et al.  Lyapunov-Razumikhin and Lyapunov-Krasovskii theorems for interconnected ISS time-delay systems , 2010 .

[17]  Neil A. Duffie,et al.  Backlog Control Design for a Closed Loop PPC System , 2004 .

[18]  Sergey Dashkovskiy,et al.  On the uniform input-to-state stability of reaction-diffusion systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[19]  J. Sauer Modeling and solving multi-site scheduling problems , 2001 .

[20]  Sergey Dashkovskiy,et al.  Local ISS of large-scale interconnections and estimates for stability regions , 2010, Syst. Control. Lett..

[21]  Bernd Scholz-Reiter,et al.  Modelling and analysis of an autonomous control method based on bacterial chemotaxis , 2010 .

[22]  Katja Windt,et al.  Criteria and Application of Autonomous Cooperating Logistic Processes , 2005 .

[23]  Karl Johan Åström,et al.  Autonomous Control , 1992, 25th Anniversary of INRIA.

[24]  Bernd Scholz-Reiter,et al.  Dynamic flexible flow shop problems—Scheduling heuristics vs. autonomous control , 2010 .

[25]  B. Scholz-Reiter,et al.  CARV 2007 Analysing the Dynamics caused by Autonomously Controlled Logistic Objects , 2007 .

[26]  V. Tikhomirov,et al.  Optimal Control , 1987 .

[27]  Christian A. Ringhofer,et al.  A Model for the Dynamics of large Queuing Networks and Supply Chains , 2006, SIAM J. Appl. Math..

[28]  K. Hoffmann,et al.  Optimal Control of Partial Differential Equations , 1991 .

[29]  Frank Allgöwer,et al.  Nonlinear Model Predictive Control , 2007 .

[30]  Bernd Scholz-Reiter,et al.  Stability analysis of autonomously controlled production networks , 2011 .

[31]  M. Pachter,et al.  Optimal control of partial differential equations , 1980 .