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A Book About Network Design

In: Network Design with Applications to Transportation and Logistics

Author

Listed:
  • Teodor Gabriel Crainic

    (Université du Québec à Montréal)

  • Michel Gendreau

    (Polytechnique Montréal)

  • Bernard Gendron

    (Université de Montréal)

Abstract

Network design problems arise whenever optimal choices have to be made that can be represented conceptually as the selection of a subset of links in a graph. Typically, these optimal choices are the result of complex tradeoffs between various types of costs and constraints. In particular, most network design problems involve fixed costs associated with link selection and variable costs associated with flows (of people, goods, information,…). Because of their combinatorial nature and the complexity of their objective functions and constraints, network design problems are inherently difficult (most of them are N P $$\mathcal {N}\mathcal {P}$$ -hard). For this reason, models and algorithms for network design problems involve approaches from several areas of combinatorial optimization and mathematical programming.

Suggested Citation

  • Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron, 2021. "A Book About Network Design," Springer Books, in: Teodor Gabriel Crainic & Michel Gendreau & Bernard Gendron (ed.), Network Design with Applications to Transportation and Logistics, chapter 0, pages 1-11, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-64018-7_1
    DOI: 10.1007/978-3-030-64018-7_1
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