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  • 1. Flener, Pierre
    et al.
    Pearson, Justin
    Ågren, Magnus
    RISE - Research Institutes of Sweden, ICT, SICS.
    Introducing ESRA, a relational language for modelling combinatorial problems2004In: Proceedings of LOPSTR'03: Revised Selected Papers, 25-27 August 2003, Uppsala, Sweden, Springer-Verlag , 2004, 1, Vol. 3018, p. 214-232Conference paper (Refereed)
    Abstract [en]

    Current-generation constraint programming languages are considered by many, especially in industry, to be too low-level, difficult, and large. We argue that solver-independent, high-level relational constraint modelling leads to a simpler and smaller language, to more concise, intuitive, and analysable models, as well as to more efficient and effective model formulation, maintenance, reformulation, and verification. All this can be achieved without sacrificing the possibility of efficient solving, so that even time-pressed or less competent modellers can be well assisted. Towards this, we propose the ESRA relational constraint modelling language, showcase its elegance on some well-known problems, and outline a compilation philosophy for such languages.

  • 2. Flener, Pierre
    et al.
    Pearson, Justin
    Ågren, Magnus
    RISE - Research Institutes of Sweden, ICT, SICS.
    Garcia Avello, Carlos
    Çeliktin, Mete
    Dissing, Søren
    Air-traffic complexity resolution in multi-sector planning2007In: Journal of Air Transport Management, ISSN 0969-6997, E-ISSN 1873-2089, Vol. 13, p. 323-328Article in journal (Refereed)
    Abstract [en]

    We effectively model and efficiently solve the problem of balancing and minimizing the traffic complexities of an airspace of adjacent sectors. The traffic complexity of a sector is here defined in terms of the numbers of flights within it, near its border, and on non-level segments within it. The allowed forms of complexity resolution are the changing of the take-off times of not yet airborne flights, the changing of the remaining approach times into the chosen airspace of already airborne flights by slowing down and speeding up within the two layers of feeder sectors around that airspace, as well as the changing of the levels of passage over way-points in that airspace. Experiments with actual European flight profiles obtained from the Central Flow Management Unit (CFMU) show that these forms of complexity resolution can lead to significant complexity reductions and rebalancing.

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