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 SM ISO690:2012LOZOVANU, Dmitrii, FONOBEROVA, Maria. A Linear Parametrical Programming Approach
for Studying and Solving Bilinear Programming Problem. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 3(52), pp. 73-86. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 3(52) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 73-86 | ||||||
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| Rezumat | ||||||
An approach for studying and solving a bilinear programming problem, based on linear parametrical programming, is proposed. Using duality principle for the considered problem we show that it can be transformed into a problem of determining the compatibility of a system of linear inequalities with a right-hand member that depends on parameters, admissible values of which are defined by another system of linear inequalities. Some properties of this auxiliary problem are obtained and a conical algorithm for its solving is proposed. We show that this algorithm can be used for finding the exact solution of bilinear programming problem as well as its approximate solution. |
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| Cuvinte-cheie Bilinear Programming, Linear Parametrical Programming, Duality Principle for Parametrical Systems, Conical Algorithms. |
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