Tree Search Algorithms for Quadratic Assignment Problems

Cover Tree Search Algorithms for Quadratic Assignment Problems
Tree Search Algorithms for Quadratic Assignment Problems
John F John Franklin Pierce
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By combinatorial programming we mean procedures developed on the basis of two principal concepts: the use of a controlled enumerative technique for (implicitly) considering all poten- tial solutions; and the elimination from explicit consideration of parti- cular potential solutions which are known from dominance, bounding and feasibility considerations to be unacceptable. All of the equivalent terms for these methods will be used interchangeably thoughout.
As will become apparent many of the f
...easibility, dominance and bounding considerations presented in the following sections are also applicable in other combinatorial programming algorithms as well as in other types of problem-solving procedures. In the following sections, attention will be focused on combinatorial programming algorithms in which problem-solving proceeds first to the discovery of a feasible solution and then to successively better feasible solutions until ultimately one is discovered which is shown to be optimal. We direct attention to these procedures principally because they have the follow- ing three desirable attributes.

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