Abstract
Few problems in the field of computer communication networks have received as early and extensive attention as the routing problem. The reason for this is twofold. First there have been numerous studies of flow problems in network theory that provide a basis for modeling the routing problem in a mathematically tractable way and, second, routing has proved to be a necessary and fundamental design choice for the operation of message- or packet- switched networks. In its simplest form the statement of the routing problem is as follows. Consider, as in Figure 12.1, a node that receives messages from an incoming link and has a choice of forwarding them via one of two outgoing links.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
L. Fratta, M. Gerla and L. Kleinrock, The flow deviation method - an approach to store-and-forward communication network design, Networks, Vol. 3, pp. 97–133, 1973.
L. Kleinrock, Communication Nets, New York, NY: McGraw-Hill, 1964.
J.R. Jackson, Networks of waiting lines, Operations Research, Vol. 5, pp. 518–521, 1957.
N. Abramson, The ALOHA system - another alternative for computer communications, AFIPS Conference Proceedings, FJCC 37, pp. 281–285, 1970.
L. Kleinrock, Queueing Systems, Vol. II, New York, NY: Wiley- Interscience, 1976.
R.G. Gallager, A minimum delay routing algorithm using distributed computation, IEEE Trans. Comm., Vol. COM-25, pp. 73–85, 1977.
A. Ephremides, Extension of an adaptive distributed routing algorithm to mixed media networks, IEEE Trans. Comm., Vol. COM-26, pp. 1262–1266, 1978.
D.P. Bertsekas, A class of optimal routing algorithms for communication networks, Proc. 5th Intl. Conf. Comp. Comm., pp. 71–76, 1980.
D.P. Bertsekas, Projected Newton methods for optimization problems with simple constraints, SI AM Jour. Cont. Opt., Vol. 20, pp. 221–246, 1982.
R.G. Gallager and S.J. Golestaani, Flow control and routing algorithms for data networks, Proc. 5th Intl. Conf. Comp. Comm., pp. 779–784, 1980.
D. Bertsekas, Dynamic behavior of shortest path routing algorithms for communication networks, IEEE Trans, on Auto. Cont., Vol. AC-27, pp. 60–74, 1982.
P. Merlin and A. Segall, A failsafe distributed routing protocol, IEEE Trans. Comm., Vol. COM-27, pp. 1280–1287, 1979.
A. Segall and B. Awerbuch, A reliable broadcast protocol, Proc. of INFOCOM, pp. 103 - 107, 1983.
F. Zerbib and A. Segall, A distributed shortest path protocol, LIDS-P- 1102 report, MIT, June, 1981.
J. Hagouel, Source routing and a distributed algorithm to implement it, Proc. of INFOCOM, pp. 115–123, 1983.
A.E. Baratz and J.M. Jaffe, Establishing virtual circuits in large computer networks, Proc. of INFOCOM, pp. 311–318, 1983.
M. Weber and A. Ephremides, A simulated performance study of some distributed routing algorithms for mobile radio networks, Proc. Conf. Inform. Sci. Sys., Johns Hopkins University, 1983.
J.E. Wieselthier, D.J. Baker, A. Ephremides and D.N. McGregor, Preliminary system concept for an HF intra-task force communication network, NRL Report 8637, 1983.
D.J. Baker and A. Ephremides, The architectural organization of a mobile radio network via a distributed algorithm, IEEE Trans. Comm., Vol. COM-29, pp. 1694–1701, 1981.
D.J Baker, A. Ephremides and J.E. Wieselthier, A distributed algorithm for scheduling the activation of links in a self-organizing, mobile, radio network, Proc. of the ICC, Philadelphia, PA, June, 1982.
A. Ephremides, Distributed protocols for mobile radio networks, Proc. of NATO Advanced Study Institute on the Impact of Processing Techniques to Communications, Chateau Bonas, France, July, 1983.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Ephremides, A. (1986). The Routing Problem in Computer Networks. In: Blake, I.F., Poor, H.V. (eds) Communications and Networks. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4904-7_13
Download citation
DOI: https://doi.org/10.1007/978-1-4612-4904-7_13
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9354-5
Online ISBN: 978-1-4612-4904-7
eBook Packages: Springer Book Archive