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This framework is constituted by the class of split models.
Each class of split may be characterised as either feasible or potentially feasible.
In 2013, Kazmi and Rizvi [14] considered a new class of split equilibrium problems.
Especially, Censor et al. [12] initially studied this class of split variational inequality problems.
The main aim of this paper is to propose an iterative method to find an element for solving a class of split feasibility problems under weaker conditions.
The new feasibility test is extended to test the feasibility of a proposed class of split, which is defined by the specification of product regions, or sets of product compositions.
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We also introduce a new class of split-plot designs with mirror image pairs constructed from non-geometric Plackett Burman designs.
This is an unrooted phylogenetic network with the property that every split S= A∣ B in Σ is represented in N by a set of parallel edges, such that deleting all edges in the set will result in exactly two connected components, one labeled by the taxa in A and the other labeled by B. A class of splits of particular interest are the circular splits.
The first stage consists of identifying classes of splits.
The synthesis procedure systematically combines these classes of splits to generate column sequences that satisfy a pre-determined separation requirement.
Classes of splits are used extensively in the development of a column sequence synthesis procedure, which will be presented in a further work.
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