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The stochastic solutions show more robustness than the deterministic solutions.
In this part of the work, only strong (path wise) stochastic solutions are constructed.
With the model, the effects of demand uncertainty can be also analyzed by comparing the deterministic and the stochastic solutions.
The stochastic solutions have been adopted in mining practice and constructions of underground space to solve the excavation problem under railways, rivers and buildings.
The computational results show that a change in the type of probability distribution of the stochastic parameters does not significantly affect the value of the stochastic solutions.
The construction of stochastic solutions is a powerful method to obtain localized solutions in configuration or Fourier space and for parallel computation with domain decomposition.
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Table 5 Value of stochastic solution Prob.
Here a stochastic solution is obtained for the magnetohydrodynamics equations.
Dokl. 4 (1963) 240 243], to approximate the stochastic solution locally.
A methodology for measuring the value of the stochastic solution in this problem is discussed.
Comparative performance studies between stochastic solution strategies are performed for two industrial process networks.
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