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Title of Journal: Optim Lett

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Abbravation: Optimization Letters

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Springer Berlin Heidelberg

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DOI

10.1007/bf02798154

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1862-4480

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A semidefinite optimization approach to the Target

Authors: P Hungerländer
Publish Date: 2014/11/11
Volume: 9, Issue: 8, Pages: 1703-1727
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Abstract

We propose an exact algorithm for the Target Visitation Problem TVP The TVP is a composition of the Linear Ordering Problem and the Traveling Salesman Problem It has several military and nonmilitary applications where two important often competing factors are the overall distance traveled eg by an unmanned aerial vehicle and the visiting sequence of the various targets or points of interest Hence our algorithm can be used to find the optimal visiting sequence of various predetermined targets First we show that the TVP is a special Quadratic Position Problem Building on this finding we propose an exact semidefinite optimization approach to tackle the TVP and finally demonstrate its efficiency on a variety of benchmark instances with up to 50 targets

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