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We see the future as having a top level competition, plus multiple lower level comps, teams and regions, youth development, etc. all across the USA".
As highlighted by Fig. 2, multiple lower level optimization tasks are to be solved during every generation of the upper level EA.
As a result, it becomes possible to process multiple lower level optimization tasks concurrently, thereby facilitating the exploitation of underlying commonalities among them.
Open image in new window Fig. 2 An illustration of a typical BLOP where multiple lower level optimization tasks are to be solved at once corresponding to different upper level candidate solutions.
At the lower level, however, the termination criterion is slightly different for the M-BLEA and the N-BLEA due to the presence (or absence) of multiple lower level optimization tasks in a single multitasking environment.
While encapsulating the major implication of this phenomenon, it is most interesting to note that the notion of multitasking emerges naturally in the realm of evolutionary bi-level optimization wherein multiple lower level optimization tasks (one corresponding to every upper level population member) are to be solved at once.
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Here, we adopt a more specific and precise notion of hierarchy to denote a tree-like organization, where higher levels incorporate multiple lower levels in structural representations and/or processing.
Following the natural hierarchy of decision making, integrated planning and scheduling problem can be formulated as bilevel optimization problem with a single planning problem (upper level) and multiple scheduling subproblems (lower level).
Commercial maleimide PEG reagents synthesized using multiple steps exhibited a lower level of functionalization as reflected by these chemical estimations.
Baky (2009) proposed FGP algorithm for solving decentralized bi-level multi-objective programming (DBL-MOP) problems with a single decision maker at the upper level and multiple decision makers at the lower level.
(iii) The Index of Multiple Deprivation (IMD), 2004, for Lower Level Super Output Areas (LLSOAs).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com