THE APPLICATION OF FUZZY LINEAR PROGRAMMING METHODS IN ENERGY PLANNING
Abstract
Very frequently some of the parameters of certain optimization problems solvable by linear programing cannot be precisely determined. In this case, fuzzy linear programming techniques can be used. In the relevant literature, there are many real-world problems solved by fuzzy linear programming methods, but they are scarce in the field of energy technology. The main reason for that might be the lack of effective software for solving fuzzy linear programming problems. In 2015, researchers developed the R package FuzzyLP, software for public use, which solves fuzzy linear programming problems directly. The potential that real world problems from different fields, including energy plan- ning, can be solved using fuzzy linear programming methods by researchers who do not necessarily have knowledge of fuzzy linear programming can be seen. . To illustrate its application, we solve two small examples using the fuzzy linear programming methods and compare them with a case in which all parameters are precisely defined.
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References
M. Delgado, J. Verdegay, and M. Vila: Imprecise costs in mathematical programming Problems, Control and Cybernetics, 16(2):113–121, 1987
C. A. Rabelo: FuzzyLP: Fuzzy Linear Programming, R package version 0.1-3, 2015
M. Repnik and D. Bokal: A basis for taxonomy of fuzzy linear programming Methods, In 13th International Symposium on Operational Research in Slovenia, Bled, Slovenia, September 23-25, 2015. ZADNIK STIRN, Lidija (ur.), et al. SOR ’15 proceedings, pages 188–192. Ljubljana: Slovenian Society Informatika, Section for Operational Research, 2015
M. Sadeghi and H. M. Hosseini: Energy supply planning in Iran by using fuzzy linear programming approach (regarding uncertainties of investment costs), Energy policy, 34(9):993–1003, 2006
M. Sadeghi and H. M. Hosseini: Evaluation of fuzzy linear programming application in energy models, International Journal of Energy Optimization and Engineering (IJEOE), 2(1):50–59, 2013
W. F. Stoecker: Design of thermal systems, New York: McGraw Hill Book Company, 1980
K. Tomsovic: A fuzzy linear programming approach to the reactive power/voltage control problem, Power Systems, IEEE Transactions on, 7(1):287–293, 1992
L. A. Zadeh: Fuzzy sets, Information and control, 8(3):338–353, 1965
H.-J. Zimmermann: Fuzzy programming and linear programming with several objective functions, Fuzzy sets and systems, 1(1):45–55, 1978
