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A Dichotomic Algorithm for Transportation Network and Land Use Problem

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  • Mamadou Koné
  • Mouhamadou A.M.T. Baldé
  • Babacar M. Ndiaye

Abstract

Redeveloping sites to accommodate housing or new economic activities is a major urban policy challenge. This problem belongs to the class of NP-hard problems. In this paper, we present an attractive mixed integer nonlinear programming formulation for the transportation network and land use problem. We first introduce a new useful nonlinear formulation of this challenging combinatorial optimization problem. Then, an alternative to considering a linearity of the constraints is to reformulate the problem as a new exact, compact discrete linear model. The problem is solved by our new algorithm and numerical results are presented for a number of test problems in academics instances.

Suggested Citation

  • Mamadou Koné & Mouhamadou A.M.T. Baldé & Babacar M. Ndiaye, 2019. "A Dichotomic Algorithm for Transportation Network and Land Use Problem," Journal of Mathematics Research, Canadian Center of Science and Education, vol. 11(1), pages 42-56, February.
    • Handle: RePEc:ibn:jmrjnl:v:11:y:2019:i:1:p:42
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    References listed on IDEAS

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    More about this item

    Keywords

    land use; transportation network; assignment; algorithm; mixed integer programming;
    All these keywords.

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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