Routing in a Network with Unreliable Components

A new approach to the joint selection of primary and secondary routes in a network with unreliable components is presented. The mathematical model captures the changes in the operational characteristics of the network as it adapts to failures. Lagrangian relaxation and subgradient optimization techniques are used to obtain good heuristic solutions to the problem, as well as lower bounds to be used as benchmarks against which the quality of the solution is assessed. Results of numerical experiments are reported, and directions for further enhancements of the model are discussed. >

[1]  I. Frisch,et al.  Analysis and Design of Survivable Networks , 1970 .

[2]  Leonard Kleinrock,et al.  Communication Nets: Stochastic Message Flow and Delay , 1964 .

[3]  Ira W. Cotton,et al.  Criteria for Evaluation of Data Communications Services , 1977, Comput. Networks.

[4]  Bezalel Gavish,et al.  A system for routing and capacity assignment in computer communication networks , 1989, IEEE Trans. Commun..

[5]  J. Cavers.  Cutset Manipulations for Communication Network Reliability Estimation , 1975, IEEE Trans. Commun..

[6]  F. Boesch,et al.  On the Minimum m Degree Vulnerability Criterion , 1971 .

[7]  Richard M. Karp,et al.  The traveling-salesman problem and minimum spanning trees: Part II , 1971, Math. Program..

[8]  Sidney L. Hantler,et al.  An Algorithm for Optimal Route Selection in SNA Networks , 1983, IEEE Trans. Commun..

[9]  Salim Hariri,et al.  Reliability Optimization in the Design of Distributed Systems , 1985, IEEE Transactions on Software Engineering.

[10]  Bezalel Gavish,et al.  Capacity and Flow Assignments in Large Computer Networks , 1986, INFOCOM 1986.

[11]  I. Neuman,et al.  Routing and capacity assignment in a network with different classes of messages , 1989, [1989] Proceedings of the Twenty-Second Annual Hawaii International Conference on System Sciences. Volume III: Decision Support and Knowledge Based Systems Track.

[12]  Izhak Rubin,et al.  On Reliable Topological Structures for Message-Switching Communication Networks , 1976, IEEE Trans. Commun..

[13]  Bezalel Gavish,et al.  Topological design of centralized computer networks - formulations and algorithms , 1982, Networks.

[14]  Richard V. Laue.  A versatile queueing model for data switching , 1981, SIGCOMM 1981.

[15]  Wushow Chou,et al.  Topological considerations in the design of the ARPA computer network , 1899, AFIPS '70 (Spring).

[16]  Andrew W. Shogan.  Sequential Bounding of the Reliability of a Stochastic Network , 1976, Oper. Res..

[17]  Suresh Rai,et al.  Reliability Evaluation in Computer-Communication Networks , 1981, IEEE Transactions on Reliability.

[18]  John A. Silvester,et al.  Performance Analysis of Networks with Unreliable Components , 1984, IEEE Trans. Commun..

[19]  A. Satyanarayana,et al.  New Topological Formula and Rapid Algorithm for Reliability Analysis of Complex Networks , 1978 .

[20]  Luigi Fratta,et al.  A Recursive Method Based on Case Analysis for Computing Network Terminal Reliability , 1978, IEEE Trans. Commun..

[21]  F. T. Boesch,et al.  On the Invulnerability of the Regular Complete k-Partite Graphs , 1971 .

[22]  Richard V. Laue.  A versatile queueing model for data switching , 1981, SIGCOMM.

[23]  J. Abraham.  An Improved Algorithm for Network Reliability , 1979, IEEE Transactions on Reliability.

[24]  Richard M. Karp,et al.  The Traveling-Salesman Problem and Minimum Spanning Trees , 1970, Oper. Res..

[25]  Richard M. Bailey,et al.  IBM information network performance and availability measurement , 1983, AFIPS '83.

[26]  U. Karmarkar,et al.  Computationally Efficient Optimal Solutions to the Lot-Sizing Problem in Multistage Assembly Systems , 1984 .

[27]  F. Boesch,et al.  On graphs of invulnerable communication nets , 1970 .

[28]  Wushow Chou,et al.  Topological optimization of computer networks , 1972 .

[29]  Peter Kubat.  Reliability Analysis for Integrated Networks with Application to Burst Switching , 1986, IEEE Trans. Commun..

[30]  Bezalel Gavish,et al.  Backbone Network Design Tools with Economic Tradeoffs , 1990, INFORMS J. Comput..

[31]  A. M. Geoffrion.  Lagrangean Relaxation and Its Uses in Integer Programming , 1972 .

[32]  Henry C. Lucas,et al.  Center for Research on Information Systems Computer Applications and Information Systems Area Graduate School of Business Administration , 1986 .

[33]  Michael O. Ball,et al.  Computing Network Reliability , 1979, Oper. Res..