Download Extending the Horizons: Advances in Computing, Optimization, by Edward K. Baker, Anito Joseph, Anuj Mehrotra, Michael A. PDF

By Edward K. Baker, Anito Joseph, Anuj Mehrotra, Michael A. Trick

This ebook represents the result of cross-fertilization among OR/MS and CS/AI. it's this interface of OR/CS that makes attainable advances which could no longer were accomplished in isolation. Taken jointly, those articles are indicative of the cutting-edge within the interface among OR/MS and CS/AI and of the excessive quality of analysis being performed by means of participants of the INFORMS Computing Society.

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Extra info for Extending the Horizons: Advances in Computing, Optimization, and Decision Technologies (Operations Research Computer Science Interfaces Series)

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Any degree-1 Steiner node in a Steiner tree can be removed since it is not needed to connect the terminal nodes. Removing these nodes will lead to an improvement in the solution value, and may also cause the degree of other Steiner nodes to drop to one. This procedure is applied iteratively until all Steiner nodes have degree greater than one. The fitness of the individual is the cost of the resulting Steiner tree. This method for finding a Steiner tree A Genetic Algorithm for Solving the Euclidean Non-Uniform Steiner Tree Problem 39 Figure 4.

Recent work on cardinality constrained optimization problems has included portfolio selection (Bienstock (1996) and Chang et al. (2000)), the traveling salesman problem (Cao and Glover (1997) and Patterson and Roland (2003)), and capacitated minimal spanning trees (Gouveia and Martins (2005)). Solution cardinality is also an active stream of research in constraint programming. Fages and Lai (2006), for example, have applied a constraint programming approach to cardinality constrained cutset problems.

The algorithm could also be applied to problems utilizing geographic information systems (GIS) data to determine the grid cost structure and node locations. For example, the GIS data might factor steepness and vegetation into the grid cost determination [33, pages 142-147]. Or, as in the case of a recent study [34] on routing trucks bearing hazardous materials, the factors could include population counts, accident probability, risk of hijack, traffic conditions, emergency response, etc. References [1] p.

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