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The Auction Algorithm for Assignment and Other Network Flow Problems: A Tutorial

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  • Dimitri P. Bertsekas

    (Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139)

Abstract

The auction algorithm is an intuitive method for solving the classical assignment problem. It outperforms substantially its main competitors for important types of problems, both in theory and in practice and is also naturally well suited for parallel computation. I derive the algorithm from first principles, explain its computational properties, and discuss its extensions to transportation and transshipment problems.

Suggested Citation

  • Dimitri P. Bertsekas, 1990. "The Auction Algorithm for Assignment and Other Network Flow Problems: A Tutorial," Interfaces, INFORMS, vol. 20(4), pages 133-149, August.
    • Handle: RePEc:inm:orinte:v:20:y:1990:i:4:p:133-149
    DOI: 10.1287/inte.20.4.133
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    Citations

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    Cited by:

    1. Kim, Jindae & Ok, Chang-Soo & Kumara, Soundar & Yee, Shang-Tae, 2010. "A market-based approach for dynamic vehicle deployment planning using radio frequency identification (RFID) information," International Journal of Production Economics, Elsevier, vol. 128(1), pages 235-247, November.
    2. Orlin, James B., 1953- & Lee, Yusin., 1993. "QuickMatch--a very fast algorithm for the assignment problem," Working papers 3547-93., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    3. Ming Fan & Jan Stallaert & Andrew B. Whinston, 2003. "Decentralized Mechanism Design for Supply Chain Organizations Using an Auction Market," Information Systems Research, INFORMS, vol. 14(1), pages 1-22, March.
    4. Lorenzo Castelli & Raffaele Pesenti & Andrea Ranieri, 2009. "Allocating Air Traffic Flow Management Slots," Working Papers 191, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    5. Zhiling Guo & Gary J. Koehler & Andrew B. Whinston, 2007. "A Market-Based Optimization Algorithm for Distributed Systems," Management Science, INFORMS, vol. 53(8), pages 1345-1358, August.
    6. He, Fang & Yin, Yafeng & Chen, Zhibin & Zhou, Jing, 2015. "Pricing of parking games with atomic players," Transportation Research Part B: Methodological, Elsevier, vol. 73(C), pages 1-12.

    More about this item

    Keywords

    programming: mathematical; networks/graphs;

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