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CNAA / Theses / 2005 / May /

Mathematical models and program product in the management of districts

Author: Al Diabat Mofleh
Degree:doctor of informatics
Speciality: 01.05.04 - Mathematical modelling, mathematical methods, software
Scientific adviser: Gheorghe Căpăţână
doctor, professor, Moldova State University
Scientific council:


The thesis was presented on the 27 May, 2005
Approved by NCAA on the 23 June, 2005


Adobe PDF document0.17 Mb / in romanian


We make a review about the treatments of territorial, socialeconomic problems in the industrially high developed countries. In this work is motivated the structure of the concept about social-economic development, the content of each interpretation of the concept. In this concept an important role plays the problem of homogenizing the labor and life conditions of the population. Concerning this fact the author suggests a formalized method of solving the problem. The author proposes a modality of simulation the process of social-economic development of the territorial-administrative subdivisions on the computer because the function-goal from the mathematical model is not differentiable.

In order to solve the problem the author introduces a virtual indicator-standard. When the economic state, the number of population is changed, the district-standard also is changed. The author models the real situations through such treatment.

Further, in the work a modality of evaluation the dynamics in the changes of territorial indicators is proposed. This permits to the author to bring a range of useful conclusions as for scientific researches as for probationers. In the work is made a systemic treatment using the mathematical device and the calculation technique for solving the regional social-economic problems.

The program products realized in the thesis permit the solving a set of problems in complex, in comparison with conventional program products which solve only one problem.

The final user can also implement these products in a new activity field without some kind of assistance from the part of the programmer. The program products planned for the management of districts possess two qualities in the same time: of final applicative product and of instrumental program product which permit the adaptation to a new activity field. All the program products are equipped with friendly interfaces and permit to the final user the formulation of problem for solving through an operation of navigation through menus.