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- W3094841906 abstract "An application area of vertex enumeration problem (VEP) is the usage within objective space based linear/convex {vector} optimization algorithms whose aim is to generate (an approximation of) the Pareto frontier. In such algorithms, VEP, which is defined in the objective space, is solved in each iteration and it has a special structure. Namely, the recession cone of the polyhedron to be generated is the {ordering} cone. We {consider and give a detailed description of} a vertex enumeration procedure, which iterates by calling a modified `double description (DD) method' that works for such unbounded polyhedrons. We employ this procedure as a function of an existing objective space based {vector} optimization algorithm (Algorithm 1); and test the performance of it for randomly generated linear multiobjective optimization problems. We compare the efficiency of this procedure with another existing DD method as well as with the current vertex enumeration subroutine of Algorithm 1. We observe that the modified procedure excels the others especially as the dimension of the vertex enumeration problem (the number of objectives of the corresponding multiobjective problem) increases." @default.
- W3094841906 created "2020-11-09" @default.
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- W3094841906 creator A5066737728 @default.
- W3094841906 date "2019-07-20" @default.
- W3094841906 modified "2023-09-26" @default.
- W3094841906 title "An Iterative Vertex Enumeration Method for Objective Space Based Vector Optimization Algorithms." @default.
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