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Network Design with Service Requirements: Scaling-up the Size of Solvable Problems

Author

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  • Naga V. C. Gudapati

    (Dipartimento di Ingegneria dell’Energia Elettrica e dell’Informazione “Guglielmo Marconi”, Università di Bologna, 40136 Bologna, Italy)

  • Enrico Malaguti

    (Dipartimento di Ingegneria dell’Energia Elettrica e dell’Informazione “Guglielmo Marconi”, Università di Bologna, 40136 Bologna, Italy)

  • Michele Monaci

    (Dipartimento di Ingegneria dell’Energia Elettrica e dell’Informazione “Guglielmo Marconi”, Università di Bologna, 40136 Bologna, Italy)

Abstract

Network design, a cornerstone of mathematical optimization, is about defining the main characteristics of a network satisfying requirements on connectivity, capacity, and level-of-service. It finds applications in logistics and transportation, telecommunications, data sharing, energy distribution, and distributed computing. In multicommodity network design, one is required to design a network minimizing the installation cost of its arcs and the operational cost to serve a set of point-to-point connections. The definition of this prototypical problem was recently enriched by additional constraints imposing that each origin-destination of a connection is served by a single path satisfying one or more level-of-service requirements, thus defining the Network Design with Service Requirements . These constraints are crucial, for example, in telecommunications and computer networks to ensure reliable and low-latency communication. In this paper we provide a new formulation for the problem, where variables are associated with paths satisfying the end-to-end service requirements. We present a fast algorithm for enumerating all the exponentially many feasible paths, and when this is not viable, we provide a column generation scheme that is embedded into a branch-and-cut-and-price algorithm. Extensive computational experiments on a large set of instances show that our approach can move a step further in the solution of the network design with service requirements compared with the current state-of-the-art.

Suggested Citation

  • Naga V. C. Gudapati & Enrico Malaguti & Michele Monaci, 2022. "Network Design with Service Requirements: Scaling-up the Size of Solvable Problems," INFORMS Journal on Computing, INFORMS, vol. 34(5), pages 2571-2582, September.
  • Handle: RePEc:inm:orijoc:v:34:y:2022:i:5:p:2571-2582
    DOI: 10.1287/ijoc.2022.1200
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    References listed on IDEAS

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    1. Anantaram Balakrishnan & Gang Li & Prakash Mirchandani, 2017. "Optimal Network Design with End-to-End Service Requirements," Operations Research, INFORMS, vol. 65(3), pages 729-750, June.
    2. Jeff L. Kennington, 1978. "A Survey of Linear Cost Multicommodity Network Flows," Operations Research, INFORMS, vol. 26(2), pages 209-236, April.
    3. Cynthia Barnhart & Rina R. Schneur, 1996. "Air Network Design for Express Shipment Service," Operations Research, INFORMS, vol. 44(6), pages 852-863, December.
    4. M. Grötschel & C. L. Monma & M. Stoer, 1995. "Polyhedral and Computational Investigations for Designing Communication Networks with High Survivability Requirements," Operations Research, INFORMS, vol. 43(6), pages 1012-1024, December.
    5. Ljubić, Ivana & Mutzel, Petra & Zey, Bernd, 2017. "Stochastic survivable network design problems: Theory and practice," European Journal of Operational Research, Elsevier, vol. 256(2), pages 333-348.
    6. T. L. Magnanti & R. T. Wong, 1984. "Network Design and Transportation Planning: Models and Algorithms," Transportation Science, INFORMS, vol. 18(1), pages 1-55, February.
    7. Daeki Kim & Cynthia Barnhart & Keith Ware & Gregory Reinhardt, 1999. "Multimodal Express Package Delivery: A Service Network Design Application," Transportation Science, INFORMS, vol. 33(4), pages 391-407, November.
    8. Quentin Botton & Bernard Fortz & Luis Gouveia & Michael Poss, 2013. "Benders Decomposition for the Hop-Constrained Survivable Network Design Problem," INFORMS Journal on Computing, INFORMS, vol. 25(1), pages 13-26, February.
    9. Cynthia Barnhart & Christopher A. Hane & Pamela H. Vance, 2000. "Using Branch-and-Price-and-Cut to Solve Origin-Destination Integer Multicommodity Flow Problems," Operations Research, INFORMS, vol. 48(2), pages 318-326, April.
    10. April K. Andreas & J. Cole Smith, 2008. "Mathematical Programming Algorithms for Two-Path Routing Problems with Reliability Considerations," INFORMS Journal on Computing, INFORMS, vol. 20(4), pages 553-564, November.
    11. Crainic, Teodor Gabriel, 2000. "Service network design in freight transportation," European Journal of Operational Research, Elsevier, vol. 122(2), pages 272-288, April.
    12. Luis Gouveia, 1998. "Using Variable Redefinition for Computing Lower Bounds for Minimum Spanning and Steiner Trees with Hop Constraints," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 180-188, May.
    13. Andrew P. Armacost & Cynthia Barnhart & Keith A. Ware, 2002. "Composite Variable Formulations for Express Shipment Service Network Design," Transportation Science, INFORMS, vol. 36(1), pages 1-20, February.
    14. Anantaram Balakrishnan & Prakash Mirchandani & Harihara Prasad Natarajan, 2009. "Connectivity Upgrade Models for Survivable Network Design," Operations Research, INFORMS, vol. 57(1), pages 170-186, February.
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