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Mathematical models and numerical algorithms for the efficient activity of Constanța Sea Port

Author: Țicu Rodica Ionela
Degree:doctor of physics and mathematics
Speciality: 01.01.09 - Mathematical cybernetics and operation research
Scientific adviser: Gheorghe Mişcoi
doctor habilitat, professor, Institute of Mathematics and Computer Science
Institution: Institute of Mathematics and Computer Science


The thesis was presented on the 21 December, 2016
Approved by NCAA on the 16 February, 2017


Adobe PDF document0.71 Mb / in romanian



Adobe PDF document 3.71 Mb / in romanian
195 pages


Laplace-Stieltjes transform, generalized waiting models, waiting time, random variables, queuing theory, maritime port.


Field of study of the thesis: The Theory of waiting systems

The purpose and objectives of the work. Because of the rapid development of Constanța Sea Port, as well as of systems, the need for applying upgraded waiting systems requiring the creation of new mathematical waiting models has appeared. The thesis aims at expanding the results already known in terms of the queuing theory and at developing mathematical algorithms to streamline the waiting time in a marine terminal, all that leading both to lowering the waiting time and to reducing the costs within the entire port activity. The following objectives of the work have been browsed in order to achieve its purpose: - the presentation of several mathematical models that can be applied in the activity of Constanța Sea Port;

The scientific novelty and originality of the thesis lie in generalization and descrition of several mathematical models. Moreover were analyzed several key functions for each model, the application of these results leading to the elaboration of algorithms for four key functions. Have been described and analysed within the newsletters of two maritime terminals in the port of Constanța. As a result of such analysis and in accordance both with mathematical models, but also in the light of their key functions we could make it possible to implement in the future of this mathematical calculation algorithm.

The important scientific problem solved lies in establishing smaller waiting times of ships in the sea terminals, results obtained from the analysis of waiting models and also of distribution functions for these models.

The theoretical significance. The results presented in this thesis may serve as a basis for further research and scientific study of the determination of other probabilistic features for different models for waiting.

Applicative value of the work. The results obtained can be applied in the port systems can be extended for loading cargo on various types of ships (container, tank, etc.), which can be modeled mathematically with the help of the models studied in this thesis.

The implementation of the scientific results. The developed algorithms were implemented as software program in the programming language C ++.