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The Chinese Postman Problem with Load-Dependent Costs

Author

Listed:
  • Ángel Corberán

    (Departamento de Estadística e Investigación Operativa, Universitat de València, 46100 Burjassot, Valencia, Spain)

  • Güneş Erdoğan

    (School of Management, University of Bath, Bath BAZ 7AY, United Kingdom)

  • Gilbert Laporte

    (HEC Montréal, Montréal, Québec H3T 2A7, Canada)

  • Isaac Plana

    (Departamento de Matemáticas para la Economía y la Empresa, Universitat de València, 46100 Burjassot, Valencia, Spain)

  • José M. Sanchis

    (Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 460222 Valencia, Spain)

Abstract

We introduce an interesting variant of the well-known Chinese postman problem (CPP). While in the CPP the cost of traversing an edge is a constant (equal to its length), in the variant we present here the cost of traversing an edge depends on its length and on the weight of the vehicle at the moment it is traversed. This problem is inspired by the perspective of minimizing pollution in transportation, since the amount of pollution emitted by a vehicle not only depends on the travel distance but also on its load, among other factors. We define the problem, study its computational complexity, provide two mathematical programming formulations, and propose two metaheuristics for its solution. Extensive computational experiments reveal the extraordinary difficulty of this problem.

Suggested Citation

  • Ángel Corberán & Güneş Erdoğan & Gilbert Laporte & Isaac Plana & José M. Sanchis, 2018. "The Chinese Postman Problem with Load-Dependent Costs," Transportation Science, INFORMS, vol. 52(2), pages 370-385, March.
    • Handle: RePEc:inm:ortrsc:v:52:y:2018:i:2:p:370-385
    DOI: 10.1287/trsc.2017.0774
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    References listed on IDEAS

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    Cited by:

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