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.
Highlights
The Transportation Network and Land-Use (TNLU) problem is a combination of the transportation network optimization problem and land use planning or Quadratic Assignment Problem (QAP)
In order to access the convergence of the senegaulois algorithm presented in section 5, we have applied it to eight examples
We see that the senegaulois algorithm provides good optimal value for the TNLU problem
Summary
The Transportation Network and Land-Use (TNLU) problem is a combination of the transportation network optimization problem and land use planning or Quadratic Assignment Problem (QAP). This model appears, for example, if we decided to find locations or relocations of some a city amenities (home, shop, work or leisure places), that may reduce travel time or travel distance. By solving this problem we want to have the best layout of the city in the direction of the location of activities and roads linking these activities. The objective of the municipality is to find (i) an assignment that minimizes the sum of the total linear cost for installing an activity to a location, (ii) the total quadratic interaction cost, (iii) the flow between the activities and (iv) total cost that link roads between activities
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