Uncertain programming: a unifying optimization theory in various uncertain environments |
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Authors: | Baoding Liu |
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Institution: | Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People's Republic of China |
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Abstract: | By uncertain programming we mean the optimization theory in generally uncertain (random, fuzzy, fuzzy random, grey, etc.) environments. Three broad classes of uncertain programming are expected value models and chance-constrained programming as well as dependent-chance programming. In order to solve general uncertain programming models, a simulation-based genetic algorithm is also documented. Finally, some applications and further research problems appearing in this area are posed. |
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Keywords: | Stochastic programming Fuzzy programming Genetic algorithm |
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