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So it is hard to be used to solve MaOPs. To address this issue, Bader and Zitzler  proposed an improved hypervolume-based algorithm--HypE.
(3) The reference point method, this kind of algorithm decomposes the MAOPs into a group of many objective optimization subproblems with simple frontier surfaces .
Due to the fact that minimization and maximization problem can be mutual transformation, without loss of generality, this article mainly describes minimizing many-objective problem and its related concepts MaOPs which can be defined as follows:
That calculation is dependent on the maximum allowable operating pressure (MAOP) of the pipeline and its diameter.
The second or the most recently discussed strategy to MaOPs is the decomposition-based method.
The giant combination utility has been using portable gas fueling systems--LNG and compressed natural gas (CNG)--since 1998, but it has really ramped up its capabilities in recent years with its massive effort to test and verify MAOPs.
The proposed rule PHMSA issued last March would have allowed pipelines to increase MAOP to 80, 67 and 60 percent of specified minimum yield strength (SMYS) in Class 1, 2 and 3 areas as long as they meet certain preconditions having to do with the type of pipe used, how it is coated, how the companies check for dents and many, many other issues.
The Pipeline and Hazardous Materials Safety Administration (PHMSA) issued a proposed rule which would allow gas transmission lines that meet certain standards to operate at higher maximum allowable operating pressure (MAOP) than are currently allowable.
The proposed rule PHMSA issued in March would have allowed pipelines to increase MAOP to 80%, 67% and 60% of specified minimum yield strength (SMYS) in Class 1, 2 and 3 areas as long as they meet certain preconditions having to do with the type of pipe used, how it is coated, how the companies check for dents and many, many other issues.
That is because the agency feels that the gas transmission MAOP limits, which have been in place since 1970, are woefully outdated given advances in manufacturing, metallurgy, testing, and assessment tools and standards.
No areas of corrosion required repair and only 19 areas required coating repair, for continued safe operation at the current MAOP of 47 bar.
The idea is for interstate companies to verify characteristics such as maximum allowable operating pressure (MAOP) and construction materials for what are called "grandfathered" pipelines--those coming before 1970 that have never had established MAOP.
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