In this article, we proposed a programming linear model in integer numbers(PLIN) for the optimal allocation of the time slots in the? international? Leopold Sedar Senghor airport of Dakar (L.S.S). The slots? are specific allocated periods which allow an aircraft to land or take off in a saturated airport. Their attribution depends on theconfiguration of the airport, more particularly on its capacity. We maximize the confirmed demand in each slot and take the number of aircrafts and the number of manageable passengers with an optimal quality service into account. We used the CPLEX software so that to test the effectiveness of the linear model. Firstly, in the proposed model linear in integer numbers, any unmet demand was isolated. Secondly, the rejected demands? by introducing a model and an algorithm of resolution based on the dynamic programming.
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