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Minimum Congestion Redundant Assignments

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  • First Online:
Encyclopedia of Algorithms

Years and Authors of Summarized Original Work

  • 2002; Fotakis, Spirakis

Problem Definition

This problem is concerned with the most efficient use of redundancy in load balancing on faulty parallel links. More specifically, this problem considers a setting where some messages need to be transmitted from a source to a destination through some faulty parallel links. Each link fails independently with a given probability, and in case of failure, none of the messages assigned to it reaches the destination. (This assumption is realistic if the messages are split into many small packets transmitted in a round-robin fashion. Then the successful delivery of a message requires that all its packets should reach the destination.) An assignment of the messages to the links may use redundancy, i.e., assign multiple copies of some messages to different links. The reliability of a redundant assignment is the probability that every message has a copy on some active link, thus managing to reach the...

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Recommended Reading

  1. Fotakis D, Spirakis P (2002) Minimum congestion redundant assignments to tolerate random faults. Algorithmica 32:396–422

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  2. Gasieniec L, Kranakis E, Krizanc D, Pelc A (1996) Minimizing congestion of layouts for ATM networks with faulty links. In: Penczek W, Szalas A (eds) Proceedings of the 21st international symposium on mathematical foundations of computer science. Lecture notes in computer science, vol 1113. Springer, Berlin, pp 372–381

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  3. Karger D (1999) A randomized fully polynomial time approximation scheme for the all-terminal network reliability problem. SIAM J Comput 29:492–514

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  4. Kleinberg J, Rabani Y, Tardos E (2000) Allocating bandwidth for bursty connections. SIAM J Comput 30:191–217

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  5. Lomonosov M (1974) Bernoulli scheme with closure. Probl Inf Transm 10:73–81

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  6. Toda S, Watanabe O (1992) Polynomial-time 1-turing reductions from #PH to #P. Theor Comput Sci 100:205–221

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Author information

Authors and Affiliations

  1. Department of Information and Communication Systems Engineering, University of the Aegean, Samos, Greece

    Dimitris Fotakis

  2. Computer Engineering and Informatics, Research and Academic Computer Technology Institute, Patras University, Patras, Greece

    Paul (Pavlos) Spirakis

  3. Computer Science, University of Liverpool, Liverpool, UK

    Paul (Pavlos) Spirakis

  4. Computer Technology Institute (CTI), Patras, Greece

    Paul (Pavlos) Spirakis

Authors
  1. Dimitris Fotakis
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  2. Paul (Pavlos) Spirakis
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Corresponding author

Correspondence to Dimitris Fotakis .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer Science, Northwestern University, Evanston, IL, USA

    Ming-Yang Kao

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© 2016 Springer Science+Business Media New York

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Fotakis, D., Spirakis, P.(. (2016). Minimum Congestion Redundant Assignments. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-2864-4_232

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