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The Reverse Elimination Method (REM) is a dynamic strategy for managing the tabu list.
It is based on logical interdependencies between the solutions encountered during recent iterations of the search. REM provides both a necessary and sufficient condition to prevent cycling. The purpose of this paper is first to incorporate in REM a chronological order rule when cycling is unavoidable, thereby assuring the finite convergence of Tabu Search. Secondly, we correct a generalization of REM, the so-called...
In this paper, we develop some stochastic dominance
theorems for the location and scale family and linear combinations of
random variables and for risk lovers as well as risk averters that
extend results in Hadar and Russell (1971) and Tesfatsion (1976). The
results are discussed and applied to decision-making.
We prove that under some topological assumptions (e.g. if M has nonempty interior in X), a convex cone M in a linear topological space X is a linear subspace if and only if each convex functional on M has a convex extension on the whole space X.
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