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However, mathematical programming methods tend to be trapped by local optima in some cases.
It would be difficult, if not impossible, to use mathematical programming methods to solve this model.
Mathematical programming methods have become an important area of research in engineering plasticity in recent years.
Another approach to find cost optimal network structures is to use mathematical programming methods.
Traditional mathematical programming methods such as the weighted aggregation methods [4] cannot identify the whole PF in one single run.
The article shows the possibility of using mathematical programming methods to obtain optimal solutions of building structures.
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This paper presents a three- (two-) stage mathematical programming method to find competitive solutions for multi- (single-) floor problems.
Sivacoumar et al. (2001) investigated Jamshedpur region in India by using a mathematical programming method to anticipate the air pollution of this region.
Therefore it could be used to appraise water networks design result obtained via other design methods, for instance water pinch analysis and mathematical programming method.
Compared with the mathematical programming method, our method has a better computational performance, and can quickly obtain a good feasible meet pass plan.
And this makes the selection of an appropriate sucker rod pumping system within the limitations of available equipment by a mathematical programming method possible.
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