Fundamentals of linear programming

7,70 Lei

ISBN: 978-606-591-317-2

DOI: 10.5682/9786065913172

Publisher year: 2011

Edition: I

Pages: 150

Publisher: Universitară

Author: Gratiela Ghic, Janina Mihaela Mihaila

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Since the mid-eighteenth century, optimization problems began to be studied in the areas of mathematical and physical and expanded, with technical and scientific development, the practical problems of engineering and economic field. Subsequently, because of automatic data processing techniques, it was possible to handle a large volume of data extremely. Wide variety of management need complex economic systems gave rise to numerous economic and mathematical representations of concrete by the concept of mathematical programming model, linear programming, respectively. Theoretical approach is to source the first issues on the organization optimal shipping, supply needs of the front, and military mission planning. Simplex method, the underlying algorithm solving linear programming problems is developed by G. Dantzig and J. Von Newmann in 1947. It noted further contribution by the work of mathematicians and economists as T. Koopmans, L. Ford, D. Fulkerson, W. Cooper and H. Kuhn. Interdisciplinary nature of economic analysis and substantiation decisions lies in research methods and knowledge, tools used in economic cybernetics, informatics and systems analysis. To remember the appearance and development of other types of programming: quadratic, convex, the integers, stochastic and dynamic.

The authors

Gratiela Ghic

Ph.D. in Economics, Associate Professor in the Faculty of International Relations of Dimitrie Cantemir Christian University in Bucharest.

Areas of competence: Mathematical modeling business processes, financial mathematics, operations research, economic and financial analysis.


Janina Mihaela Mihaila

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