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Hence, in order to get robust optimal decisions, the structural optimisation problem with random parameters must be replaced by an appropriate deterministic substitute problem.
Hence, in order to get robust maximum load factors, the structural analysis problem with random parameters must be replaced by an appropriate deterministic substitute problem.
In order to get reliable/robust optimal designs with respect to random parameter variations, by using stochastic optimization methods, the original random structural optimization problem must be replaced by an appropriate deterministic substitute problem.
Job Availability & The Substitute Problem.
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The main properties of this class of substitute problems are discussed, especially the 'dual decomposition' data structure which enables the use of very efficient special purpose LP-solvers.
Notwithstanding this, the next proposition allows substituting Problem 1 for Problem 2 without resort to such assumptions: Constraints (9)–(10) are equivalent to constraints(6)–(7) within the set of all candidate trajectoriesq that come to be well-behaved.
According to research published this week (see article), the basic technique of substituting problem-free mitochondria has now been tested in a laboratory and the researchers seem confident that, given the green light, they could bring a healthy child into the world.Most of a child's genes would come from the couple it would learn to call mum and dad.
But palm oil is high in saturated fats, so health advocates argue that using it substitutes one problem for another.
Substituting into problem (2.4), we see that problem (2.4) equals the linear programming problem (2.7).
As shown in Table 14, it excludes/includes just one driver ("method can be split" is substituted by "problem with hierarchy").
But "since the wolves are eating deer primarily, and not caribou, [wildlife managers] may end up just substituting one problem for another" if the wolves are removed, because the deer population will likely explode, says William Ripple, an ecologist at Oregon State University in Corvallis.
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CEO of Professional Science Editing for Scientists @ prosciediting.com