Publication details
FUZZY LIMITS OF CAPACITIES IN CONSTRAINTS OF LINEAR PROGRAMMING PROBLEMS: DEMONSTRATION ON EXAMPLES
Authors | |
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Year of publication | 2015 |
Type | Article in Periodical |
Magazine / Source | Logos polytechnikos |
Citation | |
Web | http://www.vspj.cz |
Keywords | linear programming, fuzzy set, fuzzy number, fuzzy linear programming, mathematical model, optimal solution, objective function value |
Description | All coefficients of a mathematical model are usually given exactly in conventional LP problems, therefore the exact optimum can be found. But the limit values are often expressed vaguely in practice, and, as a result, it is necessary to use relaxed capacity limits and a fuzzy concept of solving LP problems. In this article the LP problem of two structural variables is solved, to illustrate a comparison between algebraic and graphic solution. Although the graphical method is not suitable for solving of real economic problems in practice, the shown examples are useful for educational purpose, the illustration of the mutual relationship of both methods helps the students to understand this Operation research topic. |