Abstract
In many real-time applications, such as distributed logic control systems, response time is crucial. The response is generated by computation of Boolean functions. In this paper event-driven method of recomputations is suggested to get rid of computation overheads and provide the response in optimal time. New type of decision diagrams called Index Decision Diagrams (IDD for short) is introduced to facilitate such computations. Using IDD the computation of the function is performed in time, linear to the number of non-zero elements in the argument vector. Event-driven recomputation consists of two parts: online recomputation which is proven to have running time linear to the number of changed arguments, and precomputation which prepares the model for the former part in a fixed state of the arguments.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B. Alpern, R. Hoover, B.K. Rosen, P.F Sweeney, and K. Zadeck. Incremental evaluation of computational circuits, pages 32–42. Proceedings of First Annual ACM-SIAM symposium on Discrete Algorithms, 1990.
C.E. Shannon. A symbolic analysis of relay and switching circuits. Trans. AIEE, 57:713–723, 1938.
Ramalingam G. Bouded Incremental Computation, volume 1089 of Lecture Notes in Computer Science. Springer-Verlag, New York, 1996.
J.H. Christensen. Basic concepts of IEC 61499. In Proc. of Conference “Verteile Automatisieriung” (Distributed Automation), pages 55–62, Magdeburg, Germany, 2000.
Ramadge P.J. and Wonham W.M. Supervisory control of a class of discrete event processes. SIAM J Control Optimisation, 25(1):206–230, 1987.
S.B. Akers. Binary decision diagrams. IEEE Transactions on Computers, C-27:509–16, 1978.
V. Viatkin, K. Nakano, and T. Hayashi. Optimized Processing of Complex Events in Discrete Control Systems using Binary Decision Diagrams, pages 445–450. Int’l workshop on algorithms and architectures in real-time control, IFAC, 1997.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vyatkin, V. (2001). Optimal Algorithms of Event-Driven Re-evaluation of Boolean Functions. In: Bjørner, D., Broy, M., Zamulin, A.V. (eds) Perspectives of System Informatics. PSI 2001. Lecture Notes in Computer Science, vol 2244. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45575-2_8
Download citation
DOI: https://doi.org/10.1007/3-540-45575-2_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43075-9
Online ISBN: 978-3-540-45575-2
eBook Packages: Springer Book Archive