DEFINITIONS OF SUBOPTIMISTIC AND SUBPESSIMISTIC SOLUTIONS AND THEIR CONSTRUCTION IN THE INTERVAL BOOLEAN PROGRAMMING PROBLEM
Науковий журнал «Радіоелектроніка, інформатика, управління»
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DEFINITIONS OF SUBOPTIMISTIC AND SUBPESSIMISTIC SOLUTIONS AND THEIR CONSTRUCTION IN THE INTERVAL BOOLEAN PROGRAMMING PROBLEM |
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Mamedov, K. Sh.; Azerbaijan National Academy of Sciences, Baku, Azerbaijan Mamedova, A. H.; Azerbaijan National Academy of Sciences, Baku, Azerbaijan |
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Boolean programming problem, integer interval data, optimistic solution, pessimistic solution, suboptimistic solution, subpessimistic solution, non-linear penalty function, Lagrange function, computational experiments. |
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The work considers an interval examples of Bulian programming.Given some economic interpretation to this problem which result in the<br />constructed economic-mathematical model.Introduced the definitions of optimistic, pessimistic, and suboptimistic, subpessimistic solutions<br />for the Boolean programming problem with integer interval data are introduced. On the basis of the economic interpretation of the problem<br />two algorithms are developed for the constructing of the suboptimistic and subpessimistic solutions of this task. Of course, when solutions may<br />different from suboptimistic and subpessimistic solutions.It is therefore necessary to estimate the relative error of the found to estimate the<br />error of the suboptimistic and subpessimistic solutions from optimistic and pessimistic solutions appropriately. For this purpose Lagrange type<br />majoring function is constructed. It is proved, that the minimum value of this function is the upper bound of the optimistic and pessimistic<br />values of the objective function appropriately. Minimization of this function is in the upper border of the suboptimistic and subpessimistic<br />values of the performance function. Numerous computational experiments on the examples with different dimensions are provided. |
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Zaporizhzhya National Technical University 2016-10-27 12:28:19 |
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application/pdf http://ric.zntu.edu.ua/article/view/81370 |
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Radio Electronics, Computer Science, Control; No 3 (2016): Radio Electronics, Computer Science, Control |
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Copyright (c) 2016 K. Sh. Mamedov, A. H. Mamedova |
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