Abstract
The area of distributed systems is the focus of much current interest. However, there exists an apparent discrepancy between the character of these systems and their commonly used formal models as reported, for instance, in [1]. The notion of a global system state in distributed systems is difficult to formulate because of its complexity, non-linearity and unpredictability. Representative challenges include: the need for an integrated theory of correctness, timeliness and reliability at each level of abstraction in large-scale, distributed, dynamic computation; the development of techniques for extracting many states; the construction of heuristic and localized scheduling procedures to overcome the NP-hardness of adaptive scheduling algorithms; and the skillful incorporation of the time metrics to a study of interplays between steps in the reconfiguration — processing cycle. There are also “classic” problems concerning communication, cooperation, and consistency. Above all, there is a desperate need for a descriptive method of complexity.
This is a preview of subscription content, log in via an institution to check access.
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
Challenges to control: A collective view, IEEE Trans. on Automatic Control, vol. AC-32(4), pp.275–285 (1987).
D.P. Bertsekas and J.N. Tsitsiklis, Parallel and distributed computation. Numerical methods, Prentice Hall, Englewood Cliffs, New Jersey (1989).
Yu-Chi Ho, Performance evaluation of perturbation analysis of discrete event dynamic systems, IEEE Trans. on Automatic Control, vol. AC-32(7), pp. 563–572 (1987).
A.E. Convay and N.D. Georganas, Queuing networks — exact computational algorithms: a unified theory based on decomposition and aggregation, The MIT Press, Cambridge, Massachusetts (1989).
F.F. Soulie, Y. Robert, and M. Tchuente, Automata networks in computer science. Theory and applications, Princeton University Press, Princeton, New Jersey (1987).
A. Paz, Introduction to probabilistic automata, Academic Press, New York (1971).
T.M. Liggett, Interacting particle systems, Springer Verlag, New York and Berlin (1985).
S.A. Levin, Spatial patterning and the structure of ecological communities, in Some mathematical questions in biology, The American Mathematical Society, Providence, RI, pp. 3–35 (1976).
S.E. Johnson and A.H. Levis, eds., Science of command and control: coping with uncertainty, AFCEA International Press, Washington, DC (1988).
T.L. Casavant and J.G. Kuhl, A formal model of distributed decision making and its application to distributed load balancing, Proc. of the 6th Int. Conf. on Distr. Comp. Systems, pp. 232–239 (1986).
H. Haken, Synergetics. An introduction. Nonequilibrium phase transitions and selforganization in physics, chemistry, and biology, Springer Verlag, Heidelberg and New York (1983).
R.L. Devaney, An introduction to chaotic dynamical systems, R.L. Devaney, ed., Addison-Wesley, Reading, Massachusetts (1989).
D. Stauffer, Introduction to percolation theory, Taylor & Francis, London and Philadelphia (1985).
H.E. Stanley and N. Ostrowsky, eds., Random fluctuation and pattern growth: experiments and models, Kluwer, Dordrecht (1989).
A. Kandel, Fuzzy mathematical techniques with applications, Addison-Wesley, Reading, Massachusetts (1986).
T. Tatsumi, ed., Turbulence and chaotic phenomena in fluids, North Holland, Amsterdam (1984).
J.A. Glazier and A. Libchaber, Quasi-periodicity and dynamical systems: an experimentalist’s view, IEEE Trans. Circuits and Systems, vol.35(7), pp. 790–809 (1988).
H. Haken, ed., Computational systems — natural and artificial, Springer Verlag, Heidelberg and New York (1987).
J.L. McCauley, An introduction to non-linear dynamics and chaos theory, Physica Scripta, vol. T120 (1988).
L.O. Chua, ed., Proceedings of the IEEE. Special issue on chaotic systems, vol. 75(8) (1987).
R.W. Newcomb and N. El-Leithy, Chaos generation using binary hysteresis, Circuits, Systems and Signal Processing, vol.5(3), pp. 321–341 (1986).
L.O. Chua and T. Lin, Chaos in digital filters, IEEE Trans. Circuits and Systems, vol.35(6), pp. 648–658 (1988).
C. Vidal, Dynamic instabilities observed in the Bielousov- Zhabotin-skij system, in Chaos and order in nature, H. Haken (ed.), Springer Verlag, Heidelberg and New York, pp.69–82 (1981).
J.L. McCauley, Chaotic dynamical systems as automata, Z. Naturforsch., vol. 42 a, pp. 547–555 (1986).
D. Martland, Dynamic behavior of Boolean networks, in Neural computing architectures, I. Aleksander (ed.), The MIT Press, Cambridge, Massachusetts, pp. 217–235 (1989).
R. Shaw, Modelling chaotic systems, in Chaos and order in nature, H. Haken (ed.), Springer Verlag, Heidelberg and New York, pp. 218–231 (1981).
B.A. Huberman, The ecology of computation, in Studies in Computer Science and Artificial Intelligence, D.G Bobrow et al, eds., North Holland, Amsterdam and New York (1988).
J.O. Kephart, T. Hogg, and B.A. Huberman, Dynamics of computa tional ecosystems, Physical Review A, vol. 40(1), pp. 404–421 (1989).
C.P. Bachas and B.A. Huberman, Complexity and the relaxation of hierarchical structures, Physical Review Letters, vol. 57(16), pp. 1965–1969 (1986).
C.P. Bachas and B.A. Huberman, Complexity and ultradiffusion, J. Phys, A: Math. Gen., vol.20, pp. 4995–5014 (1987).
H.A. Ceccatto and B.A. Huberman, The complexity of hierarchical systems, Physica Scripta, vol. 37(1), pp. 145–150 (1988).
B.A. Huberman and T. Hogg, Complexity and adaptation, Physica D, vol. 22D(l-3), pp. 376–384 (1986).
W.P. Keirstad and B.A. Huberman, Dynamical singularities in ultradiffusion, Physical Review A, vol. 36(ll),pp. 5392–5340 (1987).
B.A. Huberman and T. Hogg, Phase transitions in artificial intelligence systems, Artificial Intelligence, vol. 33(2), pp. 155–171 (1987).
G. Deutscher, Application of percolation, in Chance and Matter, J. Souletie, J. Vannimenus, and R. Stora, eds., North Holland, Amsterdam, pp. 1–70 (1987).
S.H. Unger, A computer oriented towards spatial problems, Proc. Inst. Radio Eng., vol. 46, pp. 1744–50 (1958).
H. Falk, Reaching for the gigaflop, IEEE Spectrum, vol. 13(10), pp. 65–70 (1976).
K.E. Batcher, Design of a massively parallel processor, IEEE Trans. Comput., vol. C-29, pp. 836–840 (1980).
T. Toffoli and N. Margolus, Cellular automata machines. A new environment for modeling, The MIT Press, Cambridge, Massachusetts (1987).
S.Y. Kung, VLSI array processors, Prentice Hall, Englewood Cliffs, New Jersey (1988).
S.K. Tewksbury and L.A. Hornak, Future physical environments and concurrent computation, in Concurrent Computations: Algorithms, architecture, and technology, S.K. Tewksbury, B.W. Dickinson, and S.C. Schwartz (eds.), Plenum Press, New York and London, pp. 65–86 (1988).
S.K. Tewksbury and L.A. Hornak, Communication network issues and high-density interconnects in large-scale distributed computing systems, IEEE Journal on Selected Areas in Communications, vol. 6(3), pp. 587–609 (1988).
B.A. Coan, A compiler that increases the fault tolerance of asynchronous protocols, IEEE Trans. Comp., vol. 37(12), pp. 1541–1553 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Plenum Press, New York
About this chapter
Cite this chapter
Rucinski, A., Drexel, P., Dziurla, B. (1991). Complex Behavior in Networks with Distributed Routing. In: Tewksbury, S.K. (eds) Frontiers of Computing Systems Research. Frontiers of Computing Systems Research, vol 2. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7032-5_6
Download citation
DOI: https://doi.org/10.1007/978-1-4615-7032-5_6
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4615-7034-9
Online ISBN: 978-1-4615-7032-5
eBook Packages: Springer Book Archive