Professor at the University of Kinshasa, Director General of the Center for Research on Mathematics Teaching (CREM), Professor at the National Pedagogical University, Academic Secretary General of La Salle University in Congo/Kinshasa.
Computer science, Education, popularization, communications, mass supervision in matters of Human Rights, Training in electoral matters, Mathematical statistics and biometric laws, Operational research, Social choice theory, Calculation of applied probabilities, Multi-criteria decision support, Decision models and project planning: case study, Community development, Transport problems and allocation.
Mathematical Foundation for Air Traffic Network Decision Aid: Case of Democratic Republic of Congo
Transports and means of communication are at the center of development of any nation as they allow the distribution services to dispatch goods and duties from their manufacturing place for the consumption one.
In fact, if these distribution services are not well organized, in some areas of country, people would die of starvation while in other parts of the world they do not know what to do with their production because they lack of openings. Such people would be obliged to reduce their production quantity in the coming days.
The dispatching of goods and services can be done by vehicle (truck), boat, train or aeroplane. That is our concern.
DRC geographical situation was conceived by the colonizer in terms of his own interests based on the facility of the exporting means of our wealth towards the metropolis. During the second republic, the building of some airdromes had as unique criterion of selection, the interests of president. That situation is far from the economic, social and environmental preoccupations of our populations.
That is why, in the case of our term paper of deepened research in Mathematics, applied field; we have put emphasis on the spatial transport. The objective is to go from the situation existing in DRC and try an extension of the area in order to bring closer the capital of DRC to the country.
For this research there exist two problems of combinatory optimization which are: The problem of localization and the one of cover. For better apprehending the reality we have used the multicriteria paradigm. For the case, two criteria related to the economic and social aspects have oriented the process help to the decision of extension.
Keywords: Extension, Exploration, Network, Localization, Coverage, Air Traffic, Multicriteria Mathematical Programming.