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The inverse shortest paths problem with upper bounds on shortest paths costs

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Network Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 450))

Abstract

We examine the computational complexity of the inverse shortest paths problem with upper bounds on shortest path costs, and prove that obtaining a globally optimum solution to this problem is NP-complete. An algorithm for finding a locally optimum solution is proposed, discussed and tested.

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© 1997 Springer-Verlag Berlin Heidelberg

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Burton, D., Pulleyblank, W.R., Toint, P.L. (1997). The inverse shortest paths problem with upper bounds on shortest paths costs. In: Pardalos, P.M., Hearn, D.W., Hager, W.W. (eds) Network Optimization. Lecture Notes in Economics and Mathematical Systems, vol 450. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59179-2_8

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  • DOI: https://doi.org/10.1007/978-3-642-59179-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62541-4

  • Online ISBN: 978-3-642-59179-2

  • eBook Packages: Springer Book Archive

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