Max-plus algebraic modeling and control of high-throughput screening systems

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 2, Issue PART 1, 2009, Pages 93-98

  Brunsch, T ^a   Raisch, J ^a,b  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b MAX PLANCK INSTITUTE FOR DYNAMICS OF COMPLEX TECHNICAL SYSTEMS   (Germany)

Author keywords

Cyclic systems; Discrete event systems; High throughput screening; Max plus algebra

Indexed keywords

ALGEBRA;

ALGEBRAIC MODELING; ALGEBRAIC REPRESENTATIONS; CYCLIC SYSTEMS; HIGH THROUGHPUT SCREENING; HIGH-THROUGHPUT SCREENING SYSTEMS; MAX-PLUS ALGEBRA; OPTIMAL SOLUTIONS; SYSTEM REPRESENTATION;

DISCRETE EVENT SIMULATION;

EID: 79960947491     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20090610-3-it-4004.00021     Document Type: Conference Paper

References (6)

1. Baccelli, F., Cohen, G., Olsder, G.J., and Quadrat, J.P. (2001). Synchronization and Linearity - An Algebra for Discrete Event Systems. Wiley, web edition.
2. Geyer, F. (2004). Analyse und Optimierung zyklischer ereignisdiskreter Systeme mit Reihenfolgealternativen. Diploma thesis, Otto-von-Guericke- Universität Magdeburg.
3. Heidergott, B., Olsder, G.J., and van der Woude, J. (2006). Max Plus at Work. Princeton University Press, Princeton, NJ, USA, 1st edition.
4. Li, D., Mayer, E., and Raisch, J. (2007). A new Hierarchical Control Scheme for a Class of Cyclically Repeated Discrete-Event Systems. In Informatics in Control, Automation and Robotics II, 227-233. Springer Netherlands.
5. Mayer, E. and Raisch, J. (2004). Time-optimal scheduling for high throughput screening processes using cyclic discrete event models. Mathematics and Computers in Simulation, 66, 181-191.
6. Vieira, G.E., Herrmann, J.W., and Lin, E. (2003). Rescheduling Manufacturing Systems: A Framework of Strategies, Policies, and Methods. Journal of Scheduling, 6(1), 39-62.