Simultaneous optimization: sectorization and congolese air traffic assignment by the method of preferential reference of dominance.

KIKOMBA KAHUNGU, Michaël and OKITONYUMBE Y.F, Joseph and MABELA MAKENGO MATENDO, Rostin and NKUSU NDONGALA, Alexandre and M. NGOIE, Ruffin-Benoît and MAKENGO MBAMBALU, Fréderic (2015): Simultaneous optimization: sectorization and congolese air traffic assignment by the method of preferential reference of dominance. Forthcoming in: International Journal of Scientific and Innovative Mathematical Research (IJSIMR) , Vol. 3, No. 12 (December 2015)

Abstract

Air controllers encounter aeronautical problems everyday. Those problems complexity is growing as the latter problems emerge in aerial navigations sectors at the time of the air traffic assignment. As a long time as the number of aircraft in a sector is high, the controller-related load will increase in a nonlinear way. Currently, one counts, on the congolese territory, and especially in the vicinity of areas with wars, many planes movements. This would represent in a near future a difficult bulk of control for controllers. In order to avoid saturation in sectors, the congolese airspace must be divided in increasingly small sectors while distributing the workloads. To clarify the analysis, one is interested in the multicriteria optimization which deals with the case of the simultaneous presence of several objectives by the preferential reference of dominance method proposed by Joseph Okitonyumbe and Berthold Ulungu (2014). The latter method is based on a new characterization of the efficient solutions by building the probable assignments in order to minimize the load of control in the sector.

• Item Type: MPRA Paper
• Language: English
• Keywords: Preferential reference of dominance method, Simultaneous Optimization, Assignment Multi-objective Problem, Sectorization.
• Subjects: C - Mathematical and Quantitative Methods > C0 - General > C00 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C60 - General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C65 - Miscellaneous Mathematical Tools

References

Alliot J.M. Techniques d’optimisation stochastique appliquées à certains problèmes du trafic aérien, thèse de Doctorat, Paris, Octobre, 1998.

Gianazza D. Optimisation des flux de trafic aérien. Thèse de doctorat, Institut National Polytechnique de Toulouse, Novembre 2004.

Kikomba M. Exploration d’une extension du réseau de transport aérien congolais basée sur la programmation mathématique multicritère, Dissertation de DEA, Université Pédagogique Nationale, Kinshasa, Janvier 2013.

Okitonyumbe J.Y.F. and Ulungu B. E.-L. Solving multiobjectif assignment problem and multiobjectif knapsack problem by dominance preferential mark method, MPRA paper n°66125, December, 2014. http://mpra.ub.uni-muenchen.de/66125/

Teghem J. Recherche opérationnelle T1 : Méthodes d’optimisation,Ellipses 2012.

Ulungu B. Optimisation Combinatoire Multicritère : Détermination de l’ensemble des solutions efficaces et méthodes interactives, Thèse de doctorat, Université de Mons-Hainaut, Octobre 1993.