Titlebook: Single-Facility Location Problems with Barriers; Kathrin Klamroth Textbook 2002 Springer-Verlag New York 2002 Optimization Theory.algorith

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Textbook 2002ling. Areas where the placement of a new facility is forbidden, referred to as forbidden regions,canbeusedtomodel,forexample,protectedareasorregionswhere thegeographiccharacteristicsforbidtheconstructionofthedesiredfacility. Limitations on traveling are constituted by barrier regions or obstacles li

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Shortest Paths in the Presence of BarriersThe problem of finding shortest paths in realistic environments plays an important role not only in location planning. Shortest-path problems in the presence of physical barriers arise, for example, in the planning of shortest water routes between different harbors or in the determination of an optimal path of a robot in an industrial plant.

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Location Problems with Barriers: Basic Concepts and Literature ReviewIn the previous chapters we have dealt with the question of how best to define a distance between two fixed points in the .-dimensional real space ℝ. if constraints for traveling in the form of barriers are given. In this chapter we are free to choose one of these points in space, a ., as long as we do not interfere with the given barriers.

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Location Problems with a Circular BarrierUp to now the advantages of polyhedral barriers have been exploited by using the extreme points of the barrier sets as reference points for related unconstrained location problems. In the case of nonpolyhedral barriers, a different approach will be needed.

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Center Problems with the Manhattan MetricBased on the work Dearing et al. (2002), this chapter considers center problems with barriers.

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https://doi.org/10.1007/b98843Optimization Theory; algorithms; global optimization; operations research; optimization

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